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INVITED RESEARCH NOTE
Brexit negotiations: From negotiation space
to agreement zones
Ursula F Ott
1
and
Pervez N Ghauri
2
1
Nottingham Business School, Nottingham Trent
University, Nottingham NG1 4BU, UK;
2
Birmingham Business School, University of
Birmingham, Edgbaston Park Road,
Birmingham B15 2TY, UK
Correspondence:
PN Ghauri, Birmingham Business School,
University of Birmingham, Edgbaston Park
Road, Birmingham B15 2TY, UK.
Tel: +44-121-414 5868;
Fax: +44-121-4147380;
e-mail: p.ghauri@bham.ac.uk
Abstract
Brexit is decidedly a ‘big question’’. We agree with International Business
scholars who say that such questions need to be addressed using an inter-
disciplinary approach. We use bargaining theory models of rational behavior
and the negotiation literature to explain various Brexit options and predict their
consequences. Considering the lack of relevant experiential knowledge, and
the multidimensional high-stakes negotiations underway, it is little wonder that
anxiety is growing across all 28 European Union member states. Our analysis
supports a coherent approach from rational bargaining model to real-life
international negotiation. We position outcome scenarios in different
agreement zones and explore their ramifications.
Journal of International Business Studies (2019) 50, 137–149.
https://doi.org/10.1057/s41267-018-0189-x
Keywords: bargaining theory; negotiation analysis; agreement zone; Brexit negotia-
tions; outcome scenarios
INTRODUCTION
Some are doubtful whether international business (IB) research is
up to tackling business and indeed societal–big questions
(Buckley, 2002; Buckley, Doh, & Benischke, 2017). Brexit is
undeniably such a question. International business takes place
within a framework of institutions that govern the movement of
goods, services, capital, and people, basically, the European Union
four freedoms spelled out in the Treaty of Rome. These institutions
are often challenged by patriotic and nationalist rhetoric. Agree-
ments between nations, firms, and individuals facilitate trade and
ensure smooth interaction. The negotiation of such agreements has
long been an important research topic for IB scholars (Kapoor,
1970 1998 1965 1982; Money, ; Sawyer & Guetzkow, ; Tung, ).
Especially now, in an era fraught with nationalist movements, IB
researchers are challenged to undertake inter-disciplinary and
phenomena-driven negotiation research.
Negotiation, as Walton and McKersie (1965: 3) succinctly put it,
is ‘the deliberate interaction of two or more complex social units
which are attempting to define or redefine the terms of their
interdependence.’ Lewicki, Weiss, and Lewin (1992) emphasize
that negotiations do not only take place between individuals, but
The online version of this article is available Open Access
Received: 29 May 2017
Revised: 28 February 2018
Accepted: 10 September 2018
Online publication date: 2 November 2018
Journal of International Business Studies (2019) 50, 137–149
ª 2018 The Author(s) All rights reserved 0047-2506/19
www.jibs.net
between groups and organizations. The literature
consistently shows that greater gains can be
achieved when a negotiation takes place within a
single culture than when across a cultural divide
(Imai & Gelfand, 2010), and that the negotiation
process is more difficult when parties have different
values and traditions (Volkema, 2012). Diverse
cultural backgrounds affect the actors, their behav-
ior in negotiations, and hence outcomes (Ghauri,
2003a).
Article 50 of the European Union Lisbon Treaty
states that any member state may withdraw from
the Union, and spells out the process for doing so.
In a referendum held on June 23, 2016, the British
electorate voted by a margin of 3.8% to accept a
proposal to exit the EU. Months of uncertainty
followed. In March 2017, the UK triggered Article
50, thereby beginning the process of exiting. A
process dubbed Brexit, with far-reaching economic,
social, and environmental consequences was
underway. Brexit constitutes a major discrete event,
which affects governments, firms, and individuals.
It also presents an opportunity for IB scholars to
examine the negotiation of an interesting set of
international business issues and to have a say in an
important geo-political event. International busi-
ness, as a field that combines economics, sociology,
psychology, political science, anthropology, and
management studies, is ideally positioned to
address the Brexit big question.
We investigate the negotiation space in essence,
the ground covered by the UK government and the
European Commission representing the states that
will remain in the EU and the agreement zones for
Brexit outcomes. After much heated internal polit-
ical debate, what the UK government would seek to
achieve in Brexit negotiations was published in a
white paper (HM Government, 2017). This article
focuses on the 12 principles set out in that policy
statement, i.e., the strategic scenarios over the
duration of the Brexit negotiations and the move
from negotiation space (where the UK and EU
meet) to agreement zones.
After more than 40 years of UK membership in
the EU, the Brexit negotiations involve consider-
able complexity and uncertainty, and will have a
life-changing impact on millions of citizens on
both sides. There are an infinite number of poten-
tial outcomes in a negotiation like this one, but
there are some salient possibilities. There are coun-
tries that do not have full EU membership but
which do have a close relationship with the EU
along the lines of which Brexit might be negotiated
(Malhotra, 2016; Po¨tsch & Van Roosebeke, ).2017
These countries constitute models as well for Brexit.
The UK might look to the (1) Norway model, (2)
Switzerland model, (3) Canada model, (4) Ukraine
Plus model, (5) Turkey model (in order from high to
low trade and immigration integration). It is also
possible that no agreement for a future relationship
will be struck, i.e., a No Deal option. Article 50
allows up to 2 years after a declaration of the
intention to withdraw for the negotiation of a new
relationship, a time constraint that adds to the
pressure on negotiators. Our research questions are:
What negotiation scenarios need to be considered?
How will the strategic profiles of the various players
influence the outcome? What agreement zones can
be envisaged that would allow us to predict the
outcome?
The Brexit negotiation space can be analyzed
from rational and behavioral perspectives. Interac-
tive decision-making can follow a game theory path
with negotiators assumed to be rational players
anticipating strategies and the outcome of their
choices, or a behavioral one with uncertainties
dominating their decision-making. International
negotiations fall under the economics of interna-
tional business with players exhibiting different
forms of rationality (Casson & Wadeson, 2000), i.e.,
rational, bounded rational, or meta-rational. Raiffa,
Richardson, and Metcalfe (2002) see the negotia-
tion process through four lenses: asymmetrically
descriptive (psychological), symmetrically prescrip-
tive (game theoretical), asymmetrically descriptive
and prescriptive (negotiation analytical), and exter-
nally descriptive and prescriptive (conflict resolu-
tion via mediators). In summary, rational and
behavioral models of decision-making have a place
in the negotiation analysis of international busi-
ness and political negotiations. We apply bargain-
ing theory to the Brexit case and consider zones of
feasible and potential agreements.
THE NEGOTIATION SPACE AND NEGOTIATION
STRATEGIES
Political Background
We start with the state of affairs at the outset of
negotiations, sometimes termed the initial endow-
ment. We highlight the policy positions of the UK
and EU, then consider the movement of goods,
services, capital, and people as important points in
the negotiation space. The UK position summa-
rized in the White Paper lists 12 negotiation goals
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
138
Journal of International Business Studies
(see Table 1): (1) provide certainty and clarity, (2)
take control over own laws, (3) strengthen the
union of England, Northern Ireland, Scotland, and
Wales, (4) protect ties with the Republic of Ireland
and maintain the common travel area, (5) control
immigration, (6) secure rights of UK and EU
nationals, (7) protect workers’ rights, (8) ensure
free trade with European markets, (9) secure new
trade agreements with third countries, (10) ensure
continued science and innovation excellence, (11)
cooperate with Europe on crime and terrorism, (12)
achieve an orderly and smooth exit. It is important
to note that the UK is economically dependent on
the EU, indeed some 40% of its exports go to the
EU, while just 10% of EU exports go to the UK.
As for the EU, the European Commission holds
that EU trade policy is created and implemented in
a transparent and democratic manner and its goal is
to serve European citizens by creating jobs and
ensuring economic prosperity (EC Tradoc 151381).
To this end, European negotiators rely on informa-
tion received from the public before any negotia-
tions start. During negotiations, the Commission
acts on instructions received from the EU member
states, and remains throughout fully accountable to
them as well as to European civil society and to the
European Parliament (European Commission,
2017a, b). These terms mean that trade negotia-
tions are usually quite complicated, as agreements
must honor and safeguard trade and migration
rules. The EU has three main types of agreements
(http://ec.europa.eu/trade/policy/countries-and-
regions/agreements/): Customs Union, which elimi-
nate customs duties in bilateral trade and establish
joint customs tariffs on foreign imports, Association
Agreements, Stabilization Agreements, Free-Trade
Agreements, and Economic Partnership Agreements,
which remove or reduce custom duties on bilateral
trade, and ,Partnership and Cooperation Agreements
which provide a general framework for bilateral
economic relations leaving as is existing tariffs. The
Norway model, Switzerland model, Canada model,
and Ukraine Plus model are illustrative of these
types of agreements (see Table 2). They are con-
sidered to be models that the UK might follow in its
negotiations with the EU (Malhotra, 2016; Po¨tsch &
Van Roosebeke, 2017). We outline each of them
briefly below:
Norway model As a member of both the European
Free Trade Association (EFTA) and the European
Economic Area (EEA), Norway has access to the
single market, for which it makes payments to the
Table 1 The UK White Paper 12 principles Source: Based on HM Government, White Paper ( )2017
UK Brexit objectives Definitions
1. Provide certainty and clarity Brexit negotiations will be conducted as transparently as possible. Initially, EU law
will continue to apply as national law after Brexit. Any Brexit agreement with the
EU will be put before both Houses of Parliament for ratification
2. Take control over own laws Laws applicable in the UK will be made in the UK and interpreted only by UK
courts, not by the European Court of Justice
3. Strengthen the union of England, Northern
Ireland, Scotland, and Wales
The governments of England, Scotland, Northern Ireland, and Wales will work
closely together to implement Brexit
4. Protect ties with the Republic of Ireland and
maintain the common travel area
The freedom to travel between Northern Ireland and the Republic of Ireland will
be maintained
5. Control immigration The UK intends to control the number of immigrants from the EU
6. Secure rights of UK and EU nationals The rights of EU citizens living in the UK and of UK citizens living in the EU will be
guaranteed
7. Protect workers’ rights The level of protection provided workers under EU law will be maintained and
extended
8. Ensure free trade with European markets The UK will seek the greatest possible access to the EU single market for goods
and services, and be willing in return to make financial contributions to the EU
9. Secure new trade agreements with third
countries
The UK aims to conclude its own free-trade agreements with third countries
10. Ensure continued science and innovation
excellence
The UK aims to continue to collaborate with the EU in the areas of basic science
and research and development
11. Cooperate with Europe on crime and
terrorism
The UK aims to continue to collaborate with the EU in the areas of foreign and
defense policy and in combating crime and terrorism
12. Achieve an orderly and smooth exit The UK seeks to have a transition period, which will allow government and
business time to adapt
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
139
Journal of International Business Studies
EU. Norway is required to abide by the EU 4-free-
doms principle of free movement of goods, services,
capital, and people. It also must abide by most EU
laws but does not have a formal say in their
formulation and has no veto rights on their
application.
Switzerland model Switzerland is a member of the
EFTA, but not the EEA. It has less access to the
single market than Norway, but more latitude in
the application of EU laws. It is further connected
to the EU by various treaties covering specific
sectors. There are about 100 bilateral agreements,
none of which cover the financial sector. The UK
will therefore need to consider whether to use this
model with a very strong financial service sector.
The Agreement on the Free Movement of Persons
(AFMP) finalized this year reduces the ability of
Switzerland to place limits on EU citizen
immigration.
Canada model The Comprehensive Economic and
Trade Agreement (CETA) eliminates 98% of tariffs.
There is visa-free travel between Canada and most
EU member states but there is no right of free
movement of people between Canada and the EU.
Ukraine Plus model Ukraine, like Canada, has
entered a comprehensive free-trade agreement with
the EU to remove or reduce tariffs in bilateral trade.
There is visa-free travel between Ukraine and most
EU member states, but no right of free movement
of people between Ukraine and the EU.
Turkey model Turkey and the EU have agreed to a
customs zone in which tariffs are imposed. There is
no visa-free travel between Turkey and the EU nor
is there free movement of people between Turkey
and the EU.
No Deal option If no future relationship can be
negotiated, World Trade Organization rules with
strict regulations on quotas and tariffs would apply,
as is currently the case between the United States
and the EU.
The UK government’s aim is to negotiate an
agreement that meets as many of its current and
future objectives as possible. This means negotiat-
ing a 21-month transition period beyond March 29,
2019 and keeping open options for collaboration
on free trade in goods and services, on investment,
and on immigration. One UK negotiation position,
which has been dubbed ‘hard Brexit’’, envisages no
exit payment, a single market, and an end of the
free movement of people between the UK and the
EU. An opinion poll of German economics profes-
sors suggests that the best path for achieving the
UK-stated goals would be to negotiate a Ukraine
Plus Model with a view to eventually being able to
negotiate a Norway model (Ga
¨bler, Krause, Krem-
heller, Loren & Potrafke, 2017). In the following
section, we apply a bargaining model to the
positions taken by UK and EU negotiators in order
to highlight the complexities and trade-offs
involved.
Immigration and Trade Agreements Between
the UK and EU Indifference Curve Analysis
We use the concept of indifference curves from the
Edgeworth box (Edgeworth, 1925) with free move-
ment of goods (trade integration) and of people
(immigration integration) as the two ‘commodi-
ties’ being traded. The concept of Pareto optimality
complements this by helping to determine an
optimal allocation of commodities. Pareto optimal-
ity is the allocation whereby it is not possible to
make one negotiator better off without making any
other negotiator worse off. This idea is further
developed in game theory as an interactive multi-
Table 2 Extent to which various deep and special trade agreement models of the EU meet UK objectives Source: Po¨tsch and Van
Roosebeke (2017, p. 5)
United Kingdom’s objectives Norway
model
Switzerland
model
Canada
model
Ukraine plus
model
No application of EU law (Objective 2) (H) H H
No free movement (Objective 5) H H
Access to the internal market (Objective 8) H (H) (H) (H)
Own trade agreements with third countries (Objective 9) H H H H
Collaboration on security and defense policy
(Objective 11)
(H)
Does not align with UK objectives.
(H) Partially aligns with UK objectives, but needs special agreements.
H Fully aligns with UK objectives.
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
140
Journal of International Business Studies
player decision-making game. We use bargaining
theory as an application of game theoretical rea-
soning for an alternating offer scenario. Negotia-
tion space, a concept borrowed as well from the
Edgeworth box, is bound by two opposing objec-
tives: (1) the UK is reluctant to allow unfettered EU
immigration, and (2) unimpeded EU immigration
and trade are jointly the gateway to a future UK–EU
relationship. In the case of the UK and EU, we
consider trade integration (Mulabdic, Osnago &
Ruta, 2017), ranging from free-trade agreement, to
customs union, to a common market, and to
immigrant integration a scalar view of the UK–
EU relationship.
We start with trade integration as x, and immi-
gration integration as y. The indifference curves of
the UK and the EU show a similar perspective in
terms of negotiation space. In terms of trade
integration, x, the EU accounts for 40% of UK
trade (x
EU
) compared to 10% of trade to the UK
from the EU (x
UK
). However, according to European
Statistics (European Union, 2017), the export of UK
goods to other EU member states grew from 100
billion euros in 2003 to 230 billion euros in 2015,
highlighting the need for a trade agreement. When
it comes to immigration integration, y
EU
shows the
2.9 million EU citizens (0.6% of EU population)
living and working in the UK, and y
UK
shows the
1.2 million UK citizens (1.9% of UK population)
living and working in the EU.
The endowment point W, through which the
slope of any line passes, represents the ratio of trade
integration and immigration integration. Thus, if
that line is relatively steep, more has to be given up
for immigration than for trade (immigration is
relatively more expensive than trade). If the line is
relatively flat, then the opposite is true. In the UK–
EU case, an initial endowment W represents the UK
and EU levels of trade and immigration integration
available before negotiations. At the outset, the
endowment position is common to both parties.
Thus (X
EU
, Y
EU
) = W
EU
and (X
UK
, Y
UK
) = W
UK
-
where W
EU
and W
UK
represent the UK and the
EU initial endowments in W. This would fit with
the negotiations between the UK and EU. For the
different bargaining positions, the two players will
need to have their utility functions determined and
positioned as in Figure .1
Nash bargaining suggests that the UK and EU will
end up dividing the gains from renegotiation. The
UK would prefer to end at the south-west border of
the space (on the EU indifference curve) and the EU
at the north-east border (on the UK indifference
curve). Starting from those positions, they eventu-
ally end up somewhere in the middle, depending
on the degree of symmetry in their bargaining
strength. To explain the outcome, we can use a
rational approach or a behavioral one.
A GAME THEORETICAL BARGAINING MODEL
FOR BREXIT
The economics literature is rich in bargaining models,
(Nash, 1950; Kalai & Smorodinski, 1975; Rubinstein,
1982 1995; Mas-Collel,Winston & Green, ; Muthoo,
1999). We use the indifference curve analysis pre-
sentedabove to throwlight on the Brexit negotiations.
We present a stylized representation of an alternating-
offers bargaining game where players attempt to reach
an agreement by making offers and counter-offers.
This is reflective of most real-life negotiations where
bargaining imposes costs on both players.
Let X denote the set of possible agreements for
the two players UK and EU, in which x is used for
one offer in the agreement set X. If the players
i = (EU, UK) reach an agreement at time tD on
x 2 X, then the players’ payoff is
U
i
xð Þ exp r
i
tDð Þ; ð1Þ
where U
i
: X ! R is player i’s utility function. For
each x 2 X, U
i
(x) is the instantaneous utility that
player i obtains from agreement . If the playersx
Figure 1 Negotiation space for Brexit models. TradeX
integration from free-trade agreements to customs union to
common markets to full trade integration, ImmigrationY
integration from restricted immigration to free movement to
full integration of immigrants into society, W UK and EU
endowment points, IC UK and EU indifference curves (see
Appendix’).
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
141
Journal of International Business Studies
disagree, then each player’s payoff is zero. This
means a set of possible utility pairs X = {(u
UK
, u
EU
),
i.e., there exists x 2 X such that U
UK
(x) = u
UK
and
U
EU
(x) = u
EU
} is the set of utility pairs obtainable
through agreement. The Pareto frontier
X
e
of the
set X is a key concept in the analysis of the subgame
perfect equilibria. A utility pair (u
EU
, u
UK
)
2 X
e
if and
only if (u
UK
, u
EU
)2 X and there does not exist
another utility pair ( u
EU
, u
UK
) 2 X such that u
UK-
[ u
UK
, u
EU
[ u
EU
and for some i, u
i
[ u
i
.
Trade integration can be an x offer. Immigration
integration (Y in the indifference curve analysis)
can be added to the utility function of the bargain-
ing game in the following way: The set of possible
agreements X = {(x
UK
, y
UK
): 0 x
UK
1 and 0
y
UK
1}, where x
UK
and y
UK
represent the levels
of trade and immigration integration obtained by
the UK and 1 x
UK
and 1 y
UK
those obtained by
the EU. Should agreement x 2 X at time betD
reached, then the EU payoff is
U
EU
x
EU
; y
EU
ð Þ expðrtDÞ; ð2Þ
where x
EU
= 1 x
UK
and y
EU
¼ 1 y
UK
and r [ 0 is
the common discount rate of the player at .tD
The UK payoffs are
U
UK
x
UK
; y
UK
ð Þ exp rtDð Þ: ð3Þ
The Pareto frontier
X
e
of the set X is possible with
an agreement that maximizes one player’s utility
and minimizes that of the other player. It is a
concave function w, which is in the interval I
EU
R
and the interval I
UK
R with 0 2 I
EU
and 0 2 I
UK
and
w(0) [ 0 as impasse points (I
EU
, I
UK
). For each u
EU
0, w(u
EU
) = max U
UK
(x) subject to x 2 X and U
EU
(1
x
UK
, 1 y
UK
) u
EU
. In the Subgame Perfect
Equilibrium agreement x* 2 X is a solution to
max
x
2X
U
EU
ð1 1 x
UK
; y
UK
U
UK
xð Þ ð4Þ
Under the assumption that utility functions are
differentiable, the first-order conditions show that
( *x
UK
, y*
UK
) is the unique solution to
U
EU
ð1 x
UK
; 1 y
UK
Þ
oUuk
o
xuk
¼ U
UK
x
UK
; y
UK
ð Þ
oUeu
oxeu
ð5Þ
U
EU
ð1 x
UK
; 1 y
UK
Þ
oUuk
o
yuk
¼ U
UK
x
UK
; y
UK
ð Þ
oUeu
oyeu
ð6Þ
In the Rubinstein bargaining game, this is the
marginal rate of substitution between trade inte-
gration and immigration integration:
oUuk
oUuk
=oxuk
=
oyuk
¼
oUeu
oUeu
=oxeu
=
oyeu
. Figure 2 shows the Pareto fron-
tier for both players, the impasse points and the
offer curve of the game. The frontier provides the
space within which negotiations will take place and
to which behavioral aspects can now be added.
This rational perspective helps identify the
options available for Brexit negotiators. In the next
section, we deal with the uncertainties and com-
plexities of the negotiation process. They are due to
the fact that players adhere to different norms
when it comes to information disclosure, use of
threats, timing of concessions, standards of fair-
ness, and willingness to enlist the help of mediators
and arbitrators (Raiffa et al., 2002; Ott, ).2013
NEGOTIATION ANALYSIS FOR BREXIT
An Application Intuition and Real-Life
Bargaining Situation
We now consider utility functions from an intuitive
perspective given what we know about the UK and
EU. The UK only accounts for about 10% of total
EU trade, and some 3 million EU citizens reside in
the UK. The EU utility function u
EU
reflects the EU
tradeoff between trade and immigration integra-
tion given that preserving the open border between
u
UK
e
I
UK
W (u
EU
,
UK
)
Offer curve
(u’
UK
, u’
EU
)
u’
UK
Offer curve
u’
EU
I
EU
u
EU
Figure 2 Alternating offer bargaining for the EU and UK. u
EU
Utility function for the EU (u
EU
= U
EU
(x
EU
, y
EU
)), u
UK
utility
function for the UK (u
UK
= U
UK
(x
UK
, y
UK
)), I
UK
UK impasse point
I
EU
EU impasse point
X
e
Pareto frontier.
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
142
Journal of International Business Studies
the Republic of Ireland and Northern Ireland is an
additional objective, as is the settling of financial
commitments made by the UK, that is, a UK exit
payment of 40 billion negotiated in stage 2. The
UK has a different utility function in which trade
integration is important, perhaps most of all the
possibility of negotiating trade agreements with
third parties, although curtailing immigration from
the EU is a main objective.
Stage 1 Endowment situation UFor the UK,
UK
( ,x
y u) =
UK
and U
UK
(x
UK
, y
UK
) = 4x + 1.2y, with a trade
ratio of 4 (40% of UK trade being with the EU) and
1.2 million UK citizens having emigrated to the EU.
For the EU, U
EU
(x, y) = u
EU
and U
EU
(x
EU
, y
EU
)-
= x+3y, with a trade ratio of 1 (10% of EU trade is
with the UK) and 3 million EU citizens having
emigrated to the UK. This picture of the situation
on the eve of Brexit is reflected in the endowment
point and sets the starting point for the
negotiations.
Stage 2 Exit payment negotiations From a nego-
tiation analytical perspective, the EU starting point
is a 100 billion exit payment from the UK, as z in
an alternating offer game, the UK counter-offered
with 20 billion. After much back and forth, a 40
billion (£39 billion) settlement was agreed. In
addition, the rights of UK citizens in the EU and
EU citizens in the UK were made reciprocal. There
may be any number of such negotiations involving
different stakeholders. In the case of Brexit, the UK
government must contend with a coalition partner
that is in a position to hold it hostage, the
Democratic Unionist Party of Northern Ireland.
The EU on the other hand determined that in order
to preserve the Good Friday Agreement, Northern
Ireland and the Republic of Ireland needed to be
treated in the same way. The objectives spelled out
in the White Paper will be part of negotiations in
the next stage of the process. The Northern Ireland-
Republic of Ireland situation is very complicated
and volatile, so it is not surprising that negotiations
related to it would be. Indeed, how the border
issues are settled could determine future UK secu-
rity, even unity.
Stage 3 Trade agreements We now look more
closely at trade agreement options. We again use
bargaining results and add the 12 objectives from
the White Paper and negotiation outcomes. Con-
tinuing current security cooperation is in the
interest of both parties and might have been dealt
with in calculating the exit negotiation payment,
but we can add it as ‘s’ to the utility function.
U
UK
(x, y) = u
UK
and U
UK
(x, y) = a
UK
x + ß
UK
y - 40
billion exit payment, and U
EU
(x, y) = u
EU
and U
EU
( ,x
y) = a
EU
x + ß
EU
y + 40 billion, where a and ß are
parameters for the variables x and y (trade integra-
tion and immigration integration). An Irish border
solution ‘ib’ and security ‘s’ can be added to the
utility function for the UK as expressed above. The
parameters can reflect the ratio used in the nego-
tiation for trade and/or immigration integration.
To capture the uncertainty of the outcome, we can
use the expected utility approach and assign prob-
abilities to the feasibility of the agreement. Setting
a variable 0 would mean that the preference
relation is taken off the utility function. We use
only the insights of the bargaining model, which
focus on the trade and immigration integration as a
bargaining mechanism leading to the package
negotiations of complex negotiations (Raiffa et al.,
2002) and a behavioral approach.
u
UK
0 and u
EU
0 are the rationality
assumptions for both players. In the case of no
deal, u
UK
= 0, but still with an exit payment added
to the utility function, which is below the reserva-
tion value. The Norway model would have U
UK
( ,x
y) = a
UK
x + ß
UK
y - 40 billion, and an additional
payment z for access to the single market U
UK
( ,x
y, z) [ 0. The Switzerland model would have a
utility function of U
UK
(x
N
) with only x relevant
without immigration, but agreements for sectors,
financial services in the case of the UK. Finally,
‘deep and special agreements’ would need to be
added to U
UK
(x, y) and with ‘s’ for security and ‘ib’
for the Irish border. We now are able to assign
zones in the Pareto frontier where outcomes are
potentially feasible.
Figure 3 sets out the utilities of the players, with
the Pareto frontier divided into the region of
feasible and potential agreements. We use indiffer-
ence curves and the bargaining outcome of Figure 2
and positions the payoffs of the players in the
Pareto frontier. Our analysis shows clearly that the
region for trade agreements lies between the
impasse points of both players but also beyond
the reservation values.
Application of the bargaining theoretical and
negotiation analytical approach to the Brexit nego-
tiations and the agreement zone follows a behav-
ioral assumption of uncertainties. Raiffa et al.
(2002), Ghauri (2003a, b), and Ott (2011) argue
that cultural differences and strategic behavior are
reflected in time preferences, action profiles, height
of offers, and norms and values. In the next section,
we move a step closer to the potentially feasible
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
143
Journal of International Business Studies
agreement zones by showing how the best alterna-
tive to a negotiated agreement (BATNA) and Brexit
strategies can determine negotiation outcomes.
AGREEMENT ZONES FOR BREXIT
Best Alternative to Negotiated Agreement
(BATNA)
Just like with any other negotiation, in Brexit both
sides must calculate the possibility of deadlocks and
anticipate possible agreements. If there is an
impasse, what are the best outside options? Seasoned
negotiators understand the value of determining
their BATNA (Fisher, Ury, & Patton, 1991), otherwise
they will not be able to confidently walk away from a
subpar offer (Fisher et al., 1991; Subramanian, ),2007
thus, UK and EU negotiator experts will be aware of
their bargaining power and their BATNA (Fisher
et al., 1991; Malhotra, 2004). It is imperative that
negotiators calculate the reservation value, that is,
the lowest-valued deal acceptable. If the value of the
deal proposed is lower than the reservation value, it
is better to reject the offer and pursue the BATNA. If
the final offer is higher than the reservation value,
then acceptance is the best option. In the case of
Brexit, it should be determined whether WTO rules,
a customs union, the Switzerland model, the
Ukraine Plus model, or the Norway model represents
the BATNA.
Agreement Strategies and Scenarios
The EU referendum just gave people the choice to ‘Leave the
European Union’ or ‘Remain a member of the European
Union’, but there are lots of ways we could leave the EU.
Hard Brexit is at one end of the spectrum. It is about moving
further away from the EU and cutting the main formal ties
with the EU Soft Brexit is at the other end of the
spectrum, where we continue to have close formal ties with
the EU.’ (Full Fact, ).2017
Hard Brexit would mean that the UK would not
allow free movement of people between the UK and
the EU. As the free movement of goods, services,
capital, and people is at the core of the EU project,
and the EU sees the four as indivisible, a strategy
calling for three of the four exposes a problematic
UK negotiation style. If the UK follows a hard Brexit
strategy, it is likely that there will not be a deal.
This would mean that the UK would have to rely on
World Trade Organization (WTO) rules. The WTO
agreement signed in Marrakesh in 1994, and
updated since, serves as an umbrella agreement. It
has annexes on intellectual property, dispute set-
tlements, trade-policy review mechanisms, multi-
lateral agreements, and other matters. While the
WTO agreement is currently used for EU-US trade,
the WTO does not set tariffs or taxes. Its conflict
resolution process is exceedingly long, and its
remedies are blunt instruments. With only WTO
rules as a fallback position, it is clear that negoti-
ation expertise will be important.
Considering the short time horizon, the only
successful strategy is to be close to a fair deal from
the outset. This would demand that the negotiators
put their cards on the table, which the EU negotia-
tors have done in publicizing their strategy and
regularly updating information on their approach
on their Web sites with supporting information
regarding the legal situation after the withdrawal
(information acts, customs tariffs, interim solutions
for exports, intellectual property rights, etc.).
Soft Brexit, on the other end of the spectrum,
would mean having close links to the EU, similar to
those of the Norway model. While Norway is not a
member of the European Union, it has close trade
links with the EU, and is in the EU single market
for which it pays about 400 million annually in
grants. The citizens of Norway can move between
EU countries freely and citizens of the EU can just
as freely move to Norway (Full Fact, 2017). Adopt-
ing the Norway model would mean starting with a
single market assumption for which the UK would
u
UK
I
UK
e
W(u
EU
,
UK
) Offer curve
Potential Feasible
RV
UK
u’
UK
Potential
RV
EU
I u
EU EU
Figure 3 Feasible and potential agreement zones for the EU
and UK. u
EU
Utility function for the EU (u
EU
= U
EU
(x
EU
, y
EU
)), u
UK
Utility function for the UK (u
UK
= U
UK
(x
UK
, y
UK
)), I
UK
UK impasse
point UK, I
EU
EU impasse point EU,
X
e
Pareto frontier, RV EU and
UK reservation values, W EU and UK endowment points.
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
144
Journal of International Business Studies
have to make financial contributions, which some
argue would not be in keeping with the proposi-
tions of the White Paper. Moreover, the UK would
have to reckon with the fact that the EU often refers
to ‘cooperative exchange’ regarding customs tariffs
and quotas, which indicates that payments alone
would not be acceptable. This said, a soft approach
would be a quicker way to reach a settlement.
Mixed strategy profiles or a ‘concessionary’ Brexit
strategy could lead to various ways to access EU
goods, services, capital, and labor markets along the
lines of the Canada, Turkey, and Ukraine Plus
models. The UK negotiation strategy position
strongly favors negotiating all these aspects at
once. Besides the negotiation strategy profiles,
which include strategies related to immigration
and trade, other strategies regarding planning,
conflict resolution, and deal-making must be
included. In this regard, we can draw on the
mechanisms identified in the negotiation literature
(Raiffa, 1983; Susskind, ; Ury, ; Malhotra,2003 1991
2004 2016, ). For Brexit, immigration needs to be
dealt with first the rights of UK citizens and EU
citizens secured and then perhaps a quota/tier
system. Free-trade agreements (FTAs) and bilateral
investment treaties (BITs) are the next stage, with
an exit payment and tariffs following. This position
may entail extreme negotiation behavior, such as
haggling, i.e., starting with extreme offers, and
quickly reducing bids as concessions to make for a
shorter bargaining horizon. On the other hand, it
may mean using concessions as a relationship-
building approach, which means longer negotia-
tions that bind the parties and make it more
difficult for them to opt out, and fair deal behavior
for negotiations with a short-term view, i.e., mak-
ing offers close to what negotiators want in the end
(Ott, 2011). Concessions with a longer bargaining
horizon give negotiators the opportunity to focus
on relationships thus difficult issues are not
negotiated first, but only when a relationship has
been established. This is a desirable strategy for the
UK depending on background and atmosphere
implications (Ghauri, ).2003b
Feasible and Potential Agreements
Negotiators on opposite sides of the table often
have different visions of the future. The zone of
possible agreement (ZOPA) can be overshadowed
by information asymmetries, moral hazard prob-
lems, cultural differences, and complexity costs.
However, negotiation theorists offer a way around
these (Fischer et al., 1991; Ott, ; Subramanian,2011
2007 1991; Ury, ). Before proposing a contingency,
negotiators consider potential informational asym-
metries and differing incentives that need to be
resolved first, including complexity costs that
might arise. Without looking forward and reason-
ing back, a move that could expand the pie might
do just the opposite. We are left then with several
important questions to address regarding the aims
of the UK to find out whether they will be better off
after the deal, whether they have considered a
BATNA, and how they can create a positive and
cordial atmosphere to keep the other side’s expec-
tations high during the process. To reduce con-
cerns, Brexit negotiators must consider conflict-
resolution mechanisms. The EU started with an
excellent analytical approach by insisting on step-
by-step negotiations. UK negotiators would be wise
to do the same, given that the negotiations are
complex, uncertain, and to be concluded under
intense time pressure.
We now consider the agreement zone between
the negotiating parties. The agreement zone reflects
possibilities to reach an agreement acceptable to
both sides when both parties cooperate (Raiffa,
1983 2016; Ott et al., ). We assume that we have
three different strategy profiles (hard, soft, and
mixed). Depending on the cultural and strategic
backgrounds of the negotiators, all three
approaches and their response function or coun-
ter-offers from the bargaining model can be
emphasized.
Reservation Values
A UK hard Brexit strategy will lead to a narrow
agreement zone and tit-for-tat measures (Axelrod,
1984), and the consequence will be that the UK will
has to fall back on WTO rules that will result in
tariffs and import quotas. The strategy will be on
the trade integration axis of Figure 3 on the lower
end towards the origin and low on the immigration
integration as well (almost zero). The rationale for a
hard Brexit is the belief that the UK will benefit
after leaving the EU from third-country agreements
that will compensate for lower EU trade volume.
However many of those third countries, notably
China and India arguably the biggest among them,
already have trade agreements with the EU, and
will want to continue to deal with the world’s
biggest consumer market that also has the most
buying power.
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
145
Journal of International Business Studies
Potential Agreement
The White Paper suggests that the UK wants to
obtain strong access to the single market, as well as
the possibility of signing free-trade agreements
with third countries. This would mean European
Economic Area (EEA) membership, as Norway has
had since 1992. A soft Brexit strategy would mean
payment for single market access, but hand-in-
glove with that would be free movement of people,
again like the Norway model. This implies high
levels of trade and immigration integration and
would define the potential agreement zone for the
EU utility functions (along the x axis). However,
the UK wants complete control over immigration.
In addition, the UK does not want to be subject to
rulings by the European Court of Justice (ECJ). In
short, the aims of the UK diverge considerably from
those of Norway. Alternatively, the UK could use
the Switzerland model, which offers access to the
single market in specific sectors, although the EU’s
negotiation position makes it unlikely that it will
consider industry-specific arrangements at this
point. In any case, the White Paper explicitly
rejects acceptance of the free movement of people,
and for all intents and purposes the restrictions that
Switzerland was allowed to place on the citizens of
EU-2 countries (the newest EU members) will come
to an end on June 1, 2019. On another front,
Switzerland is currently involved in negotiations
with the EU over the ECJ role in resolving trade
disputes, which means that it is unlikely that the
EU would agree to what the UK wants regarding the
ECJ.
Feasible Agreement
The concessionary approach would consider free-
trade agreements (FTAs), with third country trade
agreements possible, which are low on trade inte-
gration but have the possibility to negotiate immi-
gration quotas, since so far, no immigration
integration for this option has been considered. A
so-called ‘deep and special partnership’ could be
based on the Canada model and Ukraine Plus
model, which would mean open market access,
no free movement of people, and no ECJ oversight.
The wide-ranging possibilities pose a complex
conundrum for scholars and civil servants. A recent
poll of the German Economists Expert Panel
(Ga¨bler et al., 2017) shows that 31% of respondents
believe that the UK will pursue a Ukraine Plus kind
of model, 14% the Norway model, and 23% the
Switzerland model, with some 14% saying the UK
will seek an alternative like a free-trade agreement
and 18% having no idea of what to expect.
Table 3 Currently held beliefs versus insights from our analysis
Currently held beliefs Specific insights of this analysis
The Norway, Canada, and Turkey models and also the No Deal
option would meet the UK objectives
The Ukraine Plus model, which so far has not been considered by
UK negotiators, aligns best with the principles outlined in the
White Paper. The agreement zones would be more easily reached
through alternative offers and BATNAs
The UK negotiation strategy can only be ‘hard’ or ‘soft’ There is a refined negotiation strategy which allows for a mixed
strategy approach that would fit the Ukraine Plus model or a
unique UK model. The UK has suggested the Norway model and
Canada model with modifications. The Switzerland model has
been rejected by EU negotiators, as it would mean striking
agreements particular to some industries and regions
The key to fulfilling the wishes expressed by the majority of YES
referendum voters is a customs union or a free-trade agreement
Our analysis shows that indifference curves can be used to express
preferences for trade and immigration integration as a ratio, thus
showing the existence of tradeoffs and the possibility of designing
a trade agreement that maximizes joint utilities
A trade agreement is not compatible with a reduction in
immigration
The utility functions of the bargaining approach and Rubinstein
solution to the bargaining problem provide a mechanism which
shows the connection between trade and immigration integration
Negotiating a trade agreement is quick and easy Trade, immigration, security, an open Irish border, and an exit
payment all enter the utility function of both players. The
negotiation analysis positions the outcome inside the Pareto
frontier in which no player can be worse off. Feasible and potential
agreement zones show that all options make both parties worse
off than the pre-Brexit endowment situation
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
146
Journal of International Business Studies
Based on various agreement models, and the
BATNAs of the UK and EU, the result may be close
to the second trade agreement option set out by the
EU–and already agreed between the EU and Canada
and the EU and Ukraine. Those agreements fall
within the feasible agreement zone shown in
Figure 3 but would still be below the initial endow-
ment point of trade and immigration integration
W, thus both parties will have lower utilities after
Brexit (Table ).3
CONCLUSION
Considering the short time period allowed for
Brexit negotiations, the UK government needs to
consider especially carefully its strategy profile and
possible negotiation outcomes. Then, negotiators
can align them with the agreement zones of the
two parties. If BATNAs are anticipated, it will also
be necessary to plan meticulously the strategy
profiles, agreement models, impasse points, and
feasible and possible agreement zones.
The UK and EU have such markedly opposed aims
and objectives that there could easily be major
conflicts. The indifference curves for trade and
immigration integration for both suggest that the
negotiation space has not yet been grasped. The
suggestion by the EU to start with a separate exit
negotiation to then be followed by future relationship
negotiations was a wise tactic and a rational approach
given the asymmetries between the negotiators.
The indifference curve analysis shows the critical
positions of the players regarding trade and immi-
gration integration. We compared the features of
the agreements between the EU and Norway,
Switzerland, Canada, Turkey, and Ukraine, as well
as the No Deal option leading to reliance on WTO
rules, with the objectives of the UK government.
We analyzed alternating bargaining games given
the utility functions of the parties based on prefer-
ences for trade and immigration integration. The
results of the game theoretical bargaining model
pave the way for the negotiation analytical part.
The insights of the analysis provide the feasible and
potential agreement zones for further Brexit nego-
tiations. The Ukraine Plus model can be seen as a
feasible option aligned with the objectives of the
UK government. A concessionary mixed strategy
approach shows a possible outcome and is better
than the Norway, Switzerland, or Turkey models,
which are potential agreement zones for the UK
and EU. The No Deal option falls below the
reservation value zone. Regardless of there being a
feasible agreement zone, we have shown that the
Pareto optimal outcome for both the UK and the
EU is the starting point of the negotiations the
endowment point. Our international negotiation
analysis offers a basis on which we, as international
business scholars, can export knowledge to other
disciplines by using an interdisciplinary approach
to analyze an important current phenomenon.
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APPENDIX: GLOSSARY OF TECHNICAL TERMS
ABOUT THE AUTHORS
Ursula F Ott completed her Ph.D. at the Univer-
sity of Vienna in Austria where she also taught for
some years as a Lecturer. Over the years, she has
been working as Research Scholar at the London
School of Economics, as Senior Lecturer at Lough-
borough University and as Professor of Interna-
tional Business at Kingston University in the UK.
Currently, Ursula is Professor of International
Business at Nottingham Trent University in the UK.
Technical term Explanation
Edgeworth box (Edgeworth, 1925) A common tool in general equilibrium analysis which allows the study of the interaction of
two individual parties trading two different commodities. Exchange ratios between
commodities are determined through an hypothesized auction process
Indifference curve (in the context of
exit negotiations)
The curve of each party which shows equal utility for the two commodities traded. Along the
indifference curve, any combination of the two commodities yields equal satisfaction. In the
case of exit negotiations, each point on an indifference curve gives equal satisfaction for any
combination of trade and immigration
Utility function The utility function u(x) assigns a numerical value to each element in X, ranking them in
accordance with an individual’s preferences
Negotiation space The space in the Edgeworth box, where both parties have the possibility to negotiate a deal
due to the joint set of exchange possibilities marked by the shape of the indifference curves
between R and W
Initial endowment Assets at the beginning of the transactions, which can be financial or non-pecuniary
Agreement zone The space between the two parties, which has been derived from both sides offering over a
period of time. The zone shows the space where contracts and deals are arrived at
From negotiation space to agreement zones Ursula F Ott and Pervez N Ghauri
148
Journal of International Business Studies
Ursula has published books and articles in lead-
ing journals such as Journal of International Business
Studies, Organization Studies, Journal of Management
Studies, International Business Review and Journal of
Business Research.
Pervez N Ghauri completed his Ph.D. at Uppsala
University (Sweden) where he also taught for sev-
eral years. Currently, Pervez is Professor of Inter-
national Business at University of Birmingham
(UK). Recently, he was awarded an Honorary Doc-
tor of Economics by University of Vaasa (Finland).
Pervez is the Editor-in-Chief of the International
Business Review. Pervez is a Fellow for both the
European International Business Academy (EIBA)
and the Academy of International Business (AIB),
where he was also Vice President between 2008 and
2010. Pervez has published around 30 books and
numerous articles in top-level journals.
Accepted by Alain Verbeke, Editor-in-Chief, 10 September 2018. This article has been with the authors for one revision.
Open Access This article is distributed under the
terms of the Creative Commons Attribution 4.0
International License (http://creativecommons.
org/licenses/by/4.0/), which permits unrestricted
use, distribution, and reproduction in any medium,
provided you give appropriate credit to the original
author(s) and the source, provide a link to the
Creative Commons license, and indicate if changes
were made.
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Journal of International Business Studies (2019) 50, 137–149
ª 2018 The Author(s) All rights reserved 0047-2506/19 www.jibs.net INVITED RESEARCH NOTE
Brexit negotiations: From negotiation space to agreement zones Ursula F Ott1 and Abstract Pervez N Ghauri2
Brexit is decidedly a ‘‘big question’’. We agree with International Business
scholars who say that such questions need to be addressed using an inter-
disciplinary approach. We use bargaining theory models of rational behavior
1 Nottingham Business School, Nottingham Trent
and the negotiation literature to explain various Brexit options and predict their
University, Nottingham NG1 4BU, UK; 2
consequences. Considering the lack of relevant experiential knowledge, and
Birmingham Business School, University of
Birmingham, Edgbaston Park Road,
the multidimensional high-stakes negotiations underway, it is little wonder that Birmingham B15 2TY, UK
anxiety is growing across all 28 European Union member states. Our analysis
supports a coherent approach from rational bargaining model to real-life Correspondence:
international negotiation. We position outcome scenarios in different
PN Ghauri, Birmingham Business School,
agreement zones and explore their ramifications.
University of Birmingham, Edgbaston Park
Journal of International Business Studies (2019) 50, 137–149. Road, Birmingham B15 2TY, UK. Tel: +44-121-414 5868;
https://doi.org/10.1057/s41267-018-0189-x Fax: +44-121-4147380; e-mail: p.ghauri@bham.ac.uk
Keywords: bargaining theory; negotiation analysis; agreement zone; Brexit negotia- tions; outcome scenarios
The online version of this article is available Open Access INTRODUCTION
Some are doubtful whether international business (IB) research is
up to tackling business – and indeed societal–big questions
(Buckley, 2002; Buckley, Doh, & Benischke, 2017). Brexit is
undeniably such a question. International business takes place
within a framework of institutions that govern the movement of
goods, services, capital, and people, basically, the European Union
four freedoms spelled out in the Treaty of Rome. These institutions
are often challenged by patriotic and nationalist rhetoric. Agree-
ments between nations, firms, and individuals facilitate trade and
ensure smooth interaction. The negotiation of such agreements has
long been an important research topic for IB scholars (Kapoor,
1970; Money, 1998; Sawyer & Guetzkow, 1965; Tung, 1982).
Especially now, in an era fraught with nationalist movements, IB
researchers are challenged to undertake inter-disciplinary and
phenomena-driven negotiation research.
Negotiation, as Walton and McKersie (1965: 3) succinctly put it,
is ‘ the deliberate interaction of two or more complex social units Received: 29 May 2017
which are attempting to define or redefine the terms of their Revised: 28 February 2018
interdependence.’ Lewicki, Weiss, and Lewin (1992) emphasize Accepted: 10 September 2018
that negotiations do not only take place between individuals, but
Online publication date: 2 November 2018
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 138
between groups and organizations. The literature (Malhotra, 2016; Po
¨tsch & Van Roosebeke, 2017).
consistently shows that greater gains can be
These countries constitute models as well for Brexit.
achieved when a negotiation takes place within a
The UK might look to the (1) Norway model, (2)
single culture than when across a cultural divide
Switzerland model, (3) Canada model, (4) Ukraine
(Imai & Gelfand, 2010), and that the negotiation
Plus model, (5) Turkey model (in order from high to
process is more difficult when parties have different
low trade and immigration integration). It is also
values and traditions (Volkema, 2012). Diverse
possible that no agreement for a future relationship
cultural backgrounds affect the actors, their behav-
will be struck, i.e., a No Deal option. Article 50
ior in negotiations, and hence outcomes (Ghauri,
allows up to 2 years after a declaration of the 2003a).
intention to withdraw for the negotiation of a new
Article 50 of the European Union Lisbon Treaty
relationship, a time constraint that adds to the
states that any member state may withdraw from
pressure on negotiators. Our research questions are:
the Union, and spells out the process for doing so.
What negotiation scenarios need to be considered?
In a referendum held on June 23, 2016, the British
How will the strategic profiles of the various players
electorate voted by a margin of 3.8% to accept a
influence the outcome? What agreement zones can
proposal to exit the EU. Months of uncertainty
be envisaged that would allow us to predict the
followed. In March 2017, the UK triggered Article outcome?
50, thereby beginning the process of exiting. A
The Brexit negotiation space can be analyzed
process dubbed Brexit, with far-reaching economic,
from rational and behavioral perspectives. Interac- social, and environmental consequences was
tive decision-making can follow a game theory path
underway. Brexit constitutes a major discrete event,
with negotiators assumed to be rational players
which affects governments, firms, and individuals.
anticipating strategies and the outcome of their
It also presents an opportunity for IB scholars to
choices, or a behavioral one with uncertainties
examine the negotiation of an interesting set of
dominating their decision-making. International
international business issues and to have a say in an
negotiations fall under the economics of interna-
important geo-political event. International busi-
tional business with players exhibiting different
ness, as a field that combines economics, sociology,
forms of rationality (Casson & Wadeson, 2000), i.e.,
psychology, political science, anthropology, and
rational, bounded rational, or meta-rational. Raiffa,
management studies, is ideally positioned to
Richardson, and Metcalfe (2002) see the negotia-
address the Brexit big question.
tion process through four lenses: asymmetrically
We investigate the negotiation space – in essence,
descriptive (psychological), symmetrically prescrip-
the ground covered by the UK government and the
tive (game theoretical), asymmetrically descriptive
European Commission representing the states that
and prescriptive (negotiation analytical), and exter-
will remain in the EU – and the agreement zones for
nally descriptive and prescriptive (conflict resolu-
Brexit outcomes. After much heated internal polit-
tion via mediators). In summary, rational and
ical debate, what the UK government would seek to
behavioral models of decision-making have a place
achieve in Brexit negotiations was published in a
in the negotiation analysis of international busi-
white paper (HM Government, 2017). This article
ness and political negotiations. We apply bargain-
focuses on the 12 principles set out in that policy
ing theory to the Brexit case and consider zones of
statement, i.e., the strategic scenarios over the
feasible and potential agreements.
duration of the Brexit negotiations and the move
from negotiation space (where the UK and EU meet) to agreement zones.
THE NEGOTIATION SPACE AND NEGOTIATION
After more than 40 years of UK membership in STRATEGIES
the EU, the Brexit negotiations involve consider- Political Background
able complexity and uncertainty, and will have a
We start with the state of affairs at the outset of
life-changing impact on millions of citizens on
negotiations, sometimes termed the initial endow-
both sides. There are an infinite number of poten-
ment. We highlight the policy positions of the UK
tial outcomes in a negotiation like this one, but
and EU, then consider the movement of goods,
there are some salient possibilities. There are coun-
services, capital, and people as important points in
tries that do not have full EU membership but
the negotiation space. The UK position summa-
which do have a close relationship with the EU
rized in the White Paper lists 12 negotiation goals
along the lines of which Brexit might be negotiated
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 139
Table 1 The UK White Paper 12 principles Source: Based on HM Government, White Paper (2017) UK Brexit objectives Definitions
1. Provide certainty and clarity
Brexit negotiations will be conducted as transparently as possible. Initially, EU law
will continue to apply as national law after Brexit. Any Brexit agreement with the
EU will be put before both Houses of Parliament for ratification 2. Take control over own laws
Laws applicable in the UK will be made in the UK and interpreted only by UK
courts, not by the European Court of Justice
3. Strengthen the union of England, Northern
The governments of England, Scotland, Northern Ireland, and Wales will work Ireland, Scotland, and Wales
closely together to implement Brexit
4. Protect ties with the Republic of Ireland and
The freedom to travel between Northern Ireland and the Republic of Ireland will
maintain the common travel area be maintained 5. Control immigration
The UK intends to control the number of immigrants from the EU
6. Secure rights of UK and EU nationals
The rights of EU citizens living in the UK and of UK citizens living in the EU will be guaranteed 7. Protect workers’ rights
The level of protection provided workers under EU law will be maintained and extended
8. Ensure free trade with European markets
The UK will seek the greatest possible access to the EU single market for goods
and services, and be willing in return to make financial contributions to the EU
9. Secure new trade agreements with third
The UK aims to conclude its own free-trade agreements with third countries countries
10. Ensure continued science and innovation
The UK aims to continue to collaborate with the EU in the areas of basic science excellence and research and development
11. Cooperate with Europe on crime and
The UK aims to continue to collaborate with the EU in the areas of foreign and terrorism
defense policy and in combating crime and terrorism
12. Achieve an orderly and smooth exit
The UK seeks to have a transition period, which will allow government and business time to adapt
(see Table 1): (1) provide certainty and clarity, (2) European Parliament (European Commission,
take control over own laws, (3) strengthen the
2017a, b). These terms mean that trade negotia-
union of England, Northern Ireland, Scotland, and
tions are usually quite complicated, as agreements
Wales, (4) protect ties with the Republic of Ireland
must honor and safeguard trade and migration
and maintain the common travel area, (5) control
rules. The EU has three main types of agreements
immigration, (6) secure rights of UK and EU
(http://ec.europa.eu/trade/policy/countries-and-
nationals, (7) protect workers’ rights, (8) ensure
regions/agreements/): Customs Union, which elimi-
free trade with European markets, (9) secure new
nate customs duties in bilateral trade and establish
trade agreements with third countries, (10) ensure
joint customs tariffs on foreign imports, Association
continued science and innovation excellence, (11) Agreements, Stabilization Agreements, Free-Trade
cooperate with Europe on crime and terrorism, (12)
Agreements, and Economic Partnership Agreements,
achieve an orderly and smooth exit. It is important
which remove or reduce custom duties on bilateral
to note that the UK is economically dependent on
trade, and Partnership and Cooperation Agreements,
the EU, indeed some 40% of its exports go to the
which provide a general framework for bilateral
EU, while just 10% of EU exports go to the UK.
economic relations leaving as is existing tariffs. The
As for the EU, the European Commission holds
Norway model, Switzerland model, Canada model,
that EU trade policy is created and implemented in
and Ukraine Plus model are illustrative of these
a transparent and democratic manner and its goal is
types of agreements (see Table 2). They are con-
to serve European citizens by creating jobs and
sidered to be models that the UK might follow in its
ensuring economic prosperity (EC Tradoc 151381).
negotiations with the EU (Malhotra, 2016; Po ¨tsch &
To this end, European negotiators rely on informa-
Van Roosebeke, 2017). We outline each of them
tion received from the public before any negotia- briefly below:
tions start. During negotiations, the Commission
Norway model As a member of both the European
acts on instructions received from the EU member
Free Trade Association (EFTA) and the European
states, and remains throughout fully accountable to
Economic Area (EEA), Norway has access to the
them as well as to European civil society and to the
single market, for which it makes payments to the
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 140
Table 2 Extent to which various deep and special trade agreement models of the EU meet UK objectives Source: Po¨tsch and Van Roosebeke (2017, p. 5) United Kingdom’s objectives Norway Switzerland Canada Ukraine plus model model model model
No application of EU law (Objective 2) – (H) H H No free movement (Objective 5) – – H H
Access to the internal market (Objective 8) H (H) (H) (H)
Own trade agreements with third countries (Objective 9) H H H H
Collaboration on security and defense policy – – – (H) (Objective 11)
– Does not align with UK objectives.
(H) Partially aligns with UK objectives, but needs special agreements.
H Fully aligns with UK objectives.
EU. Norway is required to abide by the EU 4-free-
strict regulations on quotas and tariffs would apply,
doms principle of free movement of goods, services,
as is currently the case between the United States
capital, and people. It also must abide by most EU and the EU.
laws but does not have a formal say in their
The UK government’s aim is to negotiate an
formulation and has no veto rights on their
agreement that meets as many of its current and application.
future objectives as possible. This means negotiat-
Switzerland model Switzerland is a member of the
ing a 21-month transition period beyond March 29,
EFTA, but not the EEA. It has less access to the
2019 and keeping open options for collaboration
single market than Norway, but more latitude in
on free trade in goods and services, on investment,
the application of EU laws. It is further connected
and on immigration. One UK negotiation position,
to the EU by various treaties covering specific
which has been dubbed ‘ hard Brexit’ , envisages no
sectors. There are about 100 bilateral agreements,
exit payment, a single market, and an end of the
none of which cover the financial sector. The UK
free movement of people between the UK and the
will therefore need to consider whether to use this
EU. An opinion poll of German economics profes-
model with a very strong financial service sector.
sors suggests that the best path for achieving the
The Agreement on the Free Movement of Persons
UK-stated goals would be to negotiate a Ukraine
(AFMP) finalized this year reduces the ability of
Plus Model with a view to eventually being able to Switzerland to place limits on EU citizen
negotiate a Norway model (Ga¨bler, Krause, Krem- immigration.
heller, Loren & Potrafke, 2017). In the following
Canada model The Comprehensive Economic and
section, we apply a bargaining model to the
Trade Agreement (CETA) eliminates 98% of tariffs.
positions taken by UK and EU negotiators in order
There is visa-free travel between Canada and most to highlight the complexities and trade-offs
EU member states but there is no right of free involved.
movement of people between Canada and the EU.
Ukraine Plus model Ukraine, like Canada, has
Immigration and Trade Agreements Between
entered a comprehensive free-trade agreement with
the UK and EU – Indifference Curve Analysis
the EU to remove or reduce tariffs in bilateral trade.
We use the concept of indifference curves from the
There is visa-free travel between Ukraine and most
Edgeworth box (Edgeworth, 1925) with free move-
EU member states, but no right of free movement
ment of goods (trade integration) and of people
of people between Ukraine and the EU.
(immigration integration) as the two ‘ commodi-
Turkey model Turkey and the EU have agreed to a
ties’ being traded. The concept of Pareto optimality
customs zone in which tariffs are imposed. There is
complements this by helping to determine an
no visa-free travel between Turkey and the EU nor
optimal allocation of commodities. Pareto optimal-
is there free movement of people between Turkey
ity is the allocation whereby it is not possible to and the EU.
make one negotiator better off without making any
No Deal option If no future relationship can be
other negotiator worse off. This idea is further
negotiated, World Trade Organization rules with
developed in game theory as an interactive multi-
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 141
player decision-making game. We use bargaining
theory as an application of game theoretical rea-
soning for an alternating offer scenario. Negotia-
tion space, a concept borrowed as well from the
Edgeworth box, is bound by two opposing objec-
tives: (1) the UK is reluctant to allow unfettered EU
immigration, and (2) unimpeded EU immigration
and trade are jointly the gateway to a future UK–EU
relationship. In the case of the UK and EU, we
consider trade integration (Mulabdic, Osnago &
Ruta, 2017), ranging from free-trade agreement, to
customs union, to a common market, and to
immigrant integration – a scalar view of the UK– EU relationship.
We start with trade integration as x, and immi-
gration integration as y. The indifference curves of
Figure 1 Negotiation space for Brexit models. X Trade
the UK and the EU show a similar perspective in
integration – from free-trade agreements to customs union to
terms of negotiation space. In terms of trade
common markets to full trade integration, Y Immigration
integration, x, the EU accounts for 40% of UK
integration – from restricted immigration to free movement to
trade (xEU) compared to 10% of trade to the UK
full integration of immigrants into society, W UK and EU from the EU (x
endowment points, IC UK and EU indifference curves (see
UK). However, according to European
Statistics (European Union, 2017), the export of UK ‘ Appendix’ ).
goods to other EU member states grew from 100
billion euros in 2003 to 230 billion euros in 2015,
curve). Starting from those positions, they eventu-
highlighting the need for a trade agreement. When
ally end up somewhere in the middle, depending
it comes to immigration integration, yEU shows the
on the degree of symmetry in their bargaining
2.9 million EU citizens (0.6% of EU population)
strength. To explain the outcome, we can use a
living and working in the UK, and yUK shows the
rational approach or a behavioral one.
1.2 million UK citizens (1.9% of UK population) living and working in the EU.
The endowment point W, through which the
A GAME THEORETICAL BARGAINING MODEL
slope of any line passes, represents the ratio of trade FOR BREXIT
integration and immigration integration. Thus, if
The economics literature is rich in bargaining models,
that line is relatively steep, more has to be given up
(Nash, 1950; Kalai & Smorodinski, 1975; Rubinstein,
for immigration than for trade (immigration is
1982; Mas-Collel,Winston & Green, 1995; Muthoo,
relatively more expensive than trade). If the line is
1999). We use the indifference curve analysis pre-
relatively flat, then the opposite is true. In the UK–
sented above to throw light on the Brexit negotiations.
EU case, an initial endowment W represents the UK
We present a stylized representation of an alternating-
and EU levels of trade and immigration integration
offers bargaining game where players attempt to reach
available before negotiations. At the outset, the
an agreement by making offers and counter-offers.
endowment position is common to both parties.
This is reflective of most real-life negotiations where Thus (X
bargaining imposes costs on both players. EU,
YEU) = WEU and (XUK, YUK) = WUK - where W
Let X denote the set of possible agreements for
EU and WUK represent the UK and the
EU initial endowments in W. This would fit with
the two players UK and EU, in which x is used for
the negotiations between the UK and EU. For the
one offer in the agreement set X. If the players
different bargaining positions, the two players will
i = (EU, UK) reach an agreement at time tD on
need to have their utility functions determined and
x 2 X, then the players’ payoff is positioned as in Figure 1. U ð Þ expðr Þ; ð1Þ
Nash bargaining suggests that the UK and EU will i x itD
end up dividing the gains from renegotiation. The
where Ui: X ! R is player i’s utility function. For
UK would prefer to end at the south-west border of
each x 2 X, Ui(x) is the instantaneous utility that
the space (on the EU indifference curve) and the EU
player i obtains from agreement x. If the players
at the north-east border (on the UK indifference
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 142
disagree, then each player’s payoff is zero. This
In the Rubinstein bargaining game, this is the
means a set of possible utility pairs X = {(uUK, uEU),
marginal rate of substitution between trade inte-
i.e., there exists x 2 X such that UUK(x) = uUK and gration and immigration integration: U oUuk =oxuk =oxeu
EU(x) = uEU} is the set of utility pairs obtainable ¼ oUeu
. Figure 2 shows the Pareto fron- oUuk =oyuk oUeu =oyeu
through agreement. The Pareto frontier Xe of the
tier for both players, the impasse points and the
set X is a key concept in the analysis of the subgame
offer curve of the game. The frontier provides the
perfect equilibria. A utility pair (uEU, uUK)2 Xe if and
space within which negotiations will take place and
only if (uUK, u EU)2 X and there does not exist
to which behavioral aspects can now be added.
another utility pair (u’EU, u’UK)2 X such that u’UK-
This rational perspective helps identify the
[ uUK, u’EU [ uEU and for some i, u’ i [ ui.
options available for Brexit negotiators. In the next
Trade integration can be an x offer. Immigration
section, we deal with the uncertainties and com-
integration (Y in the indifference curve analysis)
plexities of the negotiation process. They are due to
can be added to the utility function of the bargain-
the fact that players adhere to different norms
ing game in the following way: The set of possible
when it comes to information disclosure, use of agreements X = {(x
threats, timing of concessions, standards of fair- UK, yUK): 0  x UK  1 and 0  y
ness, and willingness to enlist the help of mediators
UK  1}, where xUK and yUK represent the levels
of trade and immigration integration obtained by
and arbitrators (Raiffa et al., 2002; Ott, 2013).
the UK and 1 xUK and 1  y UK those obtained by
the EU. Should agreement x 2 X at time tD be reached, then the EU payoff is
NEGOTIATION ANALYSIS FOR BREXIT U
An Application – Intuition and Real-Life EU x ð EU; yEUÞ expðrtDÞ; ð2Þ Bargaining Situation
where xEU = 1 xUK and yEU ¼ 1  yUK and r [ 0 is
We now consider utility functions from an intuitive
the common discount rate of the player at tD.
perspective given what we know about the UK and The UK payoffs are
EU. The UK only accounts for about 10% of total
EU trade, and some 3 million EU citizens reside in UUKðxUK; yUKÞ expðrtDÞ: ð3Þ
the UK. The EU utility function uEU reflects the EU
tradeoff between trade and immigration integra-
The Pareto frontier Xe of the set X is possible with
tion given that preserving the open border between
an agreement that maximizes one player’s utility
and minimizes that of the other player. It is a
concave function w, which is in the interval IEU  R u and the interval I UK
UK  R with 0 2 IEU and 0 2 I UK and
w(0) [ 0 as impasse points (IEU, IUK). For each uEU 
0, w(uEU) = max U UK(x) subject to x 2 X and U EU(1
xUK, 1  yUK)  u EU. In the Subgame Perfect
Equilibrium agreement x* 2 X is a solution to
max UEUð1  xUK; 1  yUK UUKðxÞ ð4Þ x2X e
Under the assumption that utility functions are I W (u
differentiable, the first-order conditions show that UK EU,UK) Offer curve
(x*UK, y*UK) is the unique solution to oUuk oUeu U (u’ EUð1  x ; 1  y ¼ U ð Þ UK, u’EU) UK UK Þ oxuk UK xUK; yUK oxeu u’UK Offer curve ð5Þ oUuk oUeu u’EU IEU uEU UEUð1  x ; 1  y ¼ U ð Þ UK UK Þ oyuk UK xUK; yUK oyeu
Figure 2 Alternating offer bargaining for the EU and UK. uEU ð6Þ
Utility function for the EU (uEU = UEU(xEU, yEU)), uUK utility
function for the UK (uUK = UUK(x UK, yUK)), IUK UK impasse point
IEU EU impasse point Xe Pareto frontier.
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 143
the Republic of Ireland and Northern Ireland is an
UUK(x, y) = uUK and UUK(x, y) = aUK x + ßUK y - 40
additional objective, as is the settling of financial
billion exit payment, and UEU(x, y) = uEU and UEU(x,
commitments made by the UK, that is, a UK exit
y) = aEUx + ßEUy + 40 billion, where a and ß are
payment of €40 billion negotiated in stage 2. The
parameters for the variables x and y (trade integra-
UK has a different utility function in which trade
tion and immigration integration). An Irish border
integration is important, perhaps most of all the
solution ‘ ib’ and security ‘ s’ can be added to the
possibility of negotiating trade agreements with
utility function for the UK as expressed above. The
third parties, although curtailing immigration from
parameters can reflect the ratio used in the nego- the EU is a main objective.
tiation for trade and/or immigration integration.
Stage 1 – Endowment situation For the UK, UUK(x,
To capture the uncertainty of the outcome, we can
y) = uUK and UUK (xUK, yUK ) = 4x + 1.2y, with a trade
use the expected utility approach and assign prob-
ratio of 4 (40% of UK trade being with the EU) and
abilities to the feasibility of the agreement. Setting
1.2 million UK citizens having emigrated to the EU.
a variable 0 would mean that the preference
For the EU, UEU(x, y) = uEU and U EU(xEU, yEU)-
relation is taken off the utility function. We use
= x+3y, with a trade ratio of 1 (10% of EU trade is
only the insights of the bargaining model, which
with the UK) and 3 million EU citizens having
focus on the trade and immigration integration as a
emigrated to the UK. This picture of the situation
bargaining mechanism leading to the package
on the eve of Brexit is reflected in the endowment
negotiations of complex negotiations (Raiffa et al., point and sets the starting point for the
2002) and a behavioral approach. negotiations.
uUK  0 and uEU  0 are the rationality
Stage 2 – Exit payment negotiations From a nego-
assumptions for both players. In the case of no
tiation analytical perspective, the EU starting point
deal, uUK = 0, but still with an exit payment added
is a €100 billion exit payment from the UK, as ‘ z’ in
to the utility function, which is below the reserva-
an alternating offer game, the UK counter-offered
tion value. The Norway model would have UUK(x,
with €20 billion. After much back and forth, a €40
y) = aUK x + ßUK y - 40 billion, and an additional
billion (£39 billion) settlement was agreed. In
payment ‘ z’ for access to the single market UUK(x,
addition, the rights of UK citizens in the EU and
y, z) [ 0. The Switzerland model would have a
EU citizens in the UK were made reciprocal. There
utility function of UUK(xN) with only ‘ x’ relevant
may be any number of such negotiations involving
without immigration, but agreements for sectors,
different stakeholders. In the case of Brexit, the UK
financial services in the case of the UK. Finally,
government must contend with a coalition partner
‘ deep and special agreements’ would need to be
that is in a position to hold it hostage, the
added to UUK(x, y) and with ‘ s’ for security and ‘ ib’
Democratic Unionist Party of Northern Ireland.
for the Irish border. We now are able to assign
The EU on the other hand determined that in order
zones in the Pareto frontier where outcomes are
to preserve the Good Friday Agreement, Northern potentially feasible.
Ireland and the Republic of Ireland needed to be
Figure 3 sets out the utilities of the players, with
treated in the same way. The objectives spelled out
the Pareto frontier divided into the region of
in the White Paper will be part of negotiations in
feasible and potential agreements. We use indiffer-
the next stage of the process. The Northern Ireland-
ence curves and the bargaining outcome of Figure 2
Republic of Ireland situation is very complicated
and positions the payoffs of the players in the
and volatile, so it is not surprising that negotiations
Pareto frontier. Our analysis shows clearly that the
related to it would be. Indeed, how the border
region for trade agreements lies between the
issues are settled could determine future UK secu-
impasse points of both players but also beyond rity, even unity. the reservation values.
Stage 3 – Trade agreements We now look more
Application of the bargaining theoretical and
closely at trade agreement options. We again use
negotiation analytical approach to the Brexit nego-
bargaining results and add the 12 objectives from
tiations and the agreement zone follows a behav-
the White Paper and negotiation outcomes. Con-
ioral assumption of uncertainties. Raiffa et al.
tinuing current security cooperation is in the
(2002), Ghauri (2003a, b), and Ott (2011) argue
interest of both parties and might have been dealt
that cultural differences and strategic behavior are
with in calculating the exit negotiation payment,
reflected in time preferences, action profiles, height
but we can add it as ‘ s’ to the utility function.
of offers, and norms and values. In the next section,
we move a step closer to the potentially feasible
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 144 uUK
Agreement Strategies and Scenarios
The EU referendum just gave people the choice to ‘Leave the
European Union’ or ‘Remain a member of the European
Union’, but there are lots of ways we could leave the EU.
Hard Brexit is at one end of the spectrum. It is about moving
further away from the EU and cutting the main formal ties
with the EU … Soft Brexit is at the other end of the
spectrum, where we continue to have close formal ties with I e the EU.’ (Full Fact, 2017). UK W(uEU,UK) Offer curve
Hard Brexit would mean that the UK would not
allow free movement of people between the UK and Potential Feasible
the EU. As the free movement of goods, services,
capital, and people is at the core of the EU project, RVUK u’
and the EU sees the four as indivisible, a strategy UK Potential
calling for three of the four exposes a problematic RV EU IEU uEU
UK negotiation style. If the UK follows a hard Brexit
strategy, it is likely that there will not be a deal.
Figure 3 Feasible and potential agreement zones for the EU
This would mean that the UK would have to rely on
and UK. uEU Utility function for the EU (uEU = UEU(xEU, yEU)), uUK
World Trade Organization (WTO) rules. The WTO
Utility function for the UK (uUK = UUK(xUK, y UK)), IUK UK impasse point UK, I
agreement signed in Marrakesh in 1994, and
EU EU impasse point EU, Xe Pareto frontier, RV EU and
UK reservation values, W EU and UK endowment points.
updated since, serves as an umbrella agreement. It
has annexes on intellectual property, dispute set-
agreement zones by showing how the best alterna-
tlements, trade-policy review mechanisms, multi-
tive to a negotiated agreement (BATNA) and Brexit
lateral agreements, and other matters. While the
strategies can determine negotiation outcomes.
WTO agreement is currently used for EU-US trade,
the WTO does not set tariffs or taxes. Its conflict
resolution process is exceedingly long, and its AGREEMENT ZONES FOR BREXIT
remedies are blunt instruments. With only WTO
Best Alternative to Negotiated Agreement
rules as a fallback position, it is clear that negoti- (BATNA)
ation expertise will be important.
Just like with any other negotiation, in Brexit both
Considering the short time horizon, the only
sides must calculate the possibility of deadlocks and
successful strategy is to be close to a fair deal from
anticipate possible agreements. If there is an
the outset. This would demand that the negotiators
impasse, what are the best outside options? Seasoned
put their cards on the table, which the EU negotia-
negotiators understand the value of determining
tors have done in publicizing their strategy and
their BATNA (Fisher, Ury, & Patton, 1991), otherwise
regularly updating information on their approach
they will not be able to confidently walk away from a
on their Web sites with supporting information
subpar offer (Fisher et al., 1991; Subramanian, 2007),
regarding the legal situation after the withdrawal
thus, UK and EU negotiator experts will be aware of
(information acts, customs tariffs, interim solutions
their bargaining power and their BATNA (Fisher
for exports, intellectual property rights, etc.).
et al., 1991; Malhotra, 2004). It is imperative that
Soft Brexit, on the other end of the spectrum,
negotiators calculate the reservation value, that is,
would mean having close links to the EU, similar to
the lowest-valued deal acceptable. If the value of the
those of the Norway model. While Norway is not a
deal proposed is lower than the reservation value, it
member of the European Union, it has close trade
is better to reject the offer and pursue the BATNA. If
links with the EU, and is in the EU single market –
the final offer is higher than the reservation value,
for which it pays about €400 million annually in
then acceptance is the best option. In the case of
grants. The citizens of Norway can move between
Brexit, it should be determined whether WTO rules,
EU countries freely and citizens of the EU can just
a customs union, the Switzerland model, the
as freely move to Norway (Full Fact, 2017). Adopt-
Ukraine Plus model, or the Norway model represents
ing the Norway model would mean starting with a the BATNA.
single market assumption for which the UK would
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 145
have to make financial contributions, which some
2007; Ury, 1991). Before proposing a contingency,
argue would not be in keeping with the proposi-
negotiators consider potential informational asym-
tions of the White Paper. Moreover, the UK would
metries and differing incentives that need to be
have to reckon with the fact that the EU often refers
resolved first, including complexity costs that
to ‘ cooperative exchange’ regarding customs tariffs
might arise. Without looking forward and reason-
and quotas, which indicates that payments alone
ing back, a move that could expand the pie might
would not be acceptable. This said, a soft approach
do just the opposite. We are left then with several
would be a quicker way to reach a settlement.
important questions to address regarding the aims
Mixed strategy profiles or a ‘concessionary’ Brexit
of the UK to find out whether they will be better off
strategy could lead to various ways to access EU
after the deal, whether they have considered a
goods, services, capital, and labor markets along the
BATNA, and how they can create a positive and
lines of the Canada, Turkey, and Ukraine Plus
cordial atmosphere to keep the other side’s expec-
models. The UK negotiation strategy position
tations high during the process. To reduce con-
strongly favors negotiating all these aspects at
cerns, Brexit negotiators must consider conflict-
once. Besides the negotiation strategy profiles,
resolution mechanisms. The EU started with an
which include strategies related to immigration
excellent analytical approach by insisting on step-
and trade, other strategies regarding planning,
by-step negotiations. UK negotiators would be wise
conflict resolution, and deal-making must be
to do the same, given that the negotiations are
included. In this regard, we can draw on the
complex, uncertain, and to be concluded under
mechanisms identified in the negotiation literature intense time pressure.
(Raiffa, 1983; Susskind, 2003; Ury, 1991; Malhotra,
We now consider the agreement zone between
2004, 2016). For Brexit, immigration needs to be
the negotiating parties. The agreement zone reflects
dealt with first – the rights of UK citizens and EU
possibilities to reach an agreement acceptable to
citizens secured and then perhaps a quota/tier
both sides when both parties cooperate (Raiffa,
system. Free-trade agreements (FTAs) and bilateral
1983; Ott et al., 2016). We assume that we have
investment treaties (BITs) are the next stage, with
three different strategy profiles (hard, soft, and
an exit payment and tariffs following. This position
mixed). Depending on the cultural and strategic
may entail extreme negotiation behavior, such as backgrounds of the negotiators, all three
haggling, i.e., starting with extreme offers, and
approaches and their response function or coun-
quickly reducing bids as concessions to make for a
ter-offers from the bargaining model can be
shorter bargaining horizon. On the other hand, it emphasized.
may mean using concessions as a relationship-
building approach, which means longer negotia- Reservation Values
tions that bind the parties and make it more
A UK hard Brexit strategy will lead to a narrow
difficult for them to opt out, and fair deal behavior
agreement zone and tit-for-tat measures (Axelrod,
for negotiations with a short-term view, i.e., mak-
1984), and the consequence will be that the UK will
ing offers close to what negotiators want in the end
has to fall back on WTO rules that will result in
(Ott, 2011). Concessions with a longer bargaining
tariffs and import quotas. The strategy will be on
horizon give negotiators the opportunity to focus
the trade integration axis of Figure 3 on the lower
on relationships – thus difficult issues are not
end towards the origin and low on the immigration
negotiated first, but only when a relationship has
integration as well (almost zero). The rationale for a
been established. This is a desirable strategy for the
hard Brexit is the belief that the UK will benefit
UK depending on background and atmosphere
after leaving the EU from third-country agreements implications (Ghauri, 2003b).
that will compensate for lower EU trade volume.
However many of those third countries, notably
Feasible and Potential Agreements
China and India arguably the biggest among them,
Negotiators on opposite sides of the table often
already have trade agreements with the EU, and
have different visions of the future. The zone of
will want to continue to deal with the world’s
possible agreement (ZOPA) can be overshadowed
biggest consumer market that also has the most
by information asymmetries, moral hazard prob- buying power.
lems, cultural differences, and complexity costs.
However, negotiation theorists offer a way around
these (Fischer et al., 1991; Ott, 2011; Subramanian,
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 146 Potential Agreement
to an end on June 1, 2019. On another front,
The White Paper suggests that the UK wants to
Switzerland is currently involved in negotiations
obtain strong access to the single market, as well as
with the EU over the ECJ role in resolving trade
the possibility of signing free-trade agreements
disputes, which means that it is unlikely that the
with third countries. This would mean European
EU would agree to what the UK wants regarding the
Economic Area (EEA) membership, as Norway has ECJ.
had since 1992. A soft Brexit strategy would mean
payment for single market access, but hand-in- Feasible Agreement
glove with that would be free movement of people,
The concessionary approach would consider free-
again like the Norway model. This implies high
trade agreements (FTAs), with third country trade
levels of trade and immigration integration and
agreements possible, which are low on trade inte-
would define the potential agreement zone for the
gration but have the possibility to negotiate immi-
EU utility functions (along the x axis). However,
gration quotas, since so far, no immigration
the UK wants complete control over immigration.
integration for this option has been considered. A
In addition, the UK does not want to be subject to
so-called ‘ deep and special partnership’ could be
rulings by the European Court of Justice (ECJ). In
based on the Canada model and Ukraine Plus
short, the aims of the UK diverge considerably from
model, which would mean open market access,
those of Norway. Alternatively, the UK could use
no free movement of people, and no ECJ oversight.
the Switzerland model, which offers access to the
The wide-ranging possibilities pose a complex
single market in specific sectors, although the EU’s
conundrum for scholars and civil servants. A recent
negotiation position makes it unlikely that it will
poll of the German Economists Expert Panel
consider industry-specific arrangements at this
(Ga¨bler et al., 2017) shows that 31% of respondents
point. In any case, the White Paper explicitly
believe that the UK will pursue a Ukraine Plus kind
rejects acceptance of the free movement of people,
of model, 14% the Norway model, and 23% the
and for all intents and purposes the restrictions that
Switzerland model, with some 14% saying the UK
Switzerland was allowed to place on the citizens of
will seek an alternative like a free-trade agreement
EU-2 countries (the newest EU members) will come
and 18% having no idea of what to expect.
Table 3 Currently held beliefs versus insights from our analysis Currently held beliefs
Specific insights of this analysis
The Norway, Canada, and Turkey models and also the No Deal
The Ukraine Plus model, which so far has not been considered by
option would meet the UK objectives
UK negotiators, aligns best with the principles outlined in the
White Paper. The agreement zones would be more easily reached
through alternative offers and BATNAs
The UK negotiation strategy can only be ‘ hard’ or ‘ soft’
There is a refined negotiation strategy which allows for a mixed
strategy approach that would fit the Ukraine Plus model or a
unique UK model. The UK has suggested the Norway model and
Canada model – with modifications. The Switzerland model has
been rejected by EU negotiators, as it would mean striking
agreements particular to some industries and regions
The key to fulfilling the wishes expressed by the majority of YES Our analysis shows that indifference curves can be used to express
referendum voters is a customs union or a free-trade agreement preferences for trade and immigration integration as a ratio, thus
showing the existence of tradeoffs and the possibility of designing
a trade agreement that maximizes joint utilities
A trade agreement is not compatible with a reduction in
The utility functions of the bargaining approach and Rubinstein immigration
solution to the bargaining problem provide a mechanism which
shows the connection between trade and immigration integration
Negotiating a trade agreement is quick and easy
Trade, immigration, security, an open Irish border, and an exit
payment all enter the utility function of both players. The
negotiation analysis positions the outcome inside the Pareto
frontier in which no player can be worse off. Feasible and potential
agreement zones show that all options make both parties worse
off than the pre-Brexit endowment situation
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 147
Based on various agreement models, and the
The indifference curve analysis shows the critical
BATNAs of the UK and EU, the result may be close
positions of the players regarding trade and immi-
to the second trade agreement option set out by the
gration integration. We compared the features of
EU–and already agreed between the EU and Canada
the agreements between the EU and Norway,
and the EU and Ukraine. Those agreements fall
Switzerland, Canada, Turkey, and Ukraine, as well
within the feasible agreement zone shown in
as the No Deal option leading to reliance on WTO
Figure 3 but would still be below the initial endow-
rules, with the objectives of the UK government.
ment point of trade and immigration integration
We analyzed alternating bargaining games given
W, thus both parties will have lower utilities after
the utility functions of the parties based on prefer- Brexit (Table 3).
ences for trade and immigration integration. The
results of the game theoretical bargaining model
pave the way for the negotiation analytical part. CONCLUSION
The insights of the analysis provide the feasible and
Considering the short time period allowed for
potential agreement zones for further Brexit nego-
Brexit negotiations, the UK government needs to
tiations. The Ukraine Plus model can be seen as a
consider especially carefully its strategy profile and
feasible option aligned with the objectives of the
possible negotiation outcomes. Then, negotiators
UK government. A concessionary mixed strategy
can align them with the agreement zones of the
approach shows a possible outcome and is better
two parties. If BATNAs are anticipated, it will also
than the Norway, Switzerland, or Turkey models,
be necessary to plan meticulously the strategy
which are potential agreement zones for the UK
profiles, agreement models, impasse points, and
and EU. The No Deal option falls below the
feasible and possible agreement zones.
reservation value zone. Regardless of there being a
The UK and EU have such markedly opposed aims
feasible agreement zone, we have shown that the
and objectives that there could easily be major
Pareto optimal outcome for both the UK and the
conflicts. The indifference curves for trade and
EU is the starting point of the negotiations – the
immigration integration for both suggest that the
endowment point. Our international negotiation
negotiation space has not yet been grasped. The
analysis offers a basis on which we, as international
suggestion by the EU to start with a separate exit
business scholars, can export knowledge to other
negotiation to then be followed by future relationship
disciplines by using an interdisciplinary approach
negotiations was a wise tactic and a rational approach
to analyze an important current phenomenon.
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APPENDIX: GLOSSARY OF TECHNICAL TERMS Technical term Explanation
Edgeworth box (Edgeworth, 1925)
A common tool in general equilibrium analysis which allows the study of the interaction of
two individual parties trading two different commodities. Exchange ratios between
commodities are determined through an hypothesized auction process
Indifference curve (in the context of
The curve of each party which shows equal utility for the two commodities traded. Along the exit negotiations)
indifference curve, any combination of the two commodities yields equal satisfaction. In the
case of exit negotiations, each point on an indifference curve gives equal satisfaction for any
combination of trade and immigration Utility function
The utility function u(x) assigns a numerical value to each element in X, ranking them in
accordance with an individual’s preferences Negotiation space
The space in the Edgeworth box, where both parties have the possibility to negotiate a deal
due to the joint set of exchange possibilities marked by the shape of the indifference curves between R and W Initial endowment
Assets at the beginning of the transactions, which can be financial or non-pecuniary Agreement zone
The space between the two parties, which has been derived from both sides offering over a
period of time. The zone shows the space where contracts and deals are arrived at
School of Economics, as Senior Lecturer at Lough- ABOUT THE AUTHORS
borough University and as Professor of Interna-
Ursula F Ott completed her Ph.D. at the Univer-
tional Business at Kingston University in the UK.
sity of Vienna in Austria where she also taught for
Currently, Ursula is Professor of International
some years as a Lecturer. Over the years, she has
Business at Nottingham Trent University in the UK.
been working as Research Scholar at the London
Journal of International Business Studies
From negotiation space to agreement zones
Ursula F Ott and Pervez N Ghauri 149
Ursula has published books and articles in lead-
and the Academy of International Business (AIB),
ing journals such as Journal of International Business
where he was also Vice President between 2008 and
Studies, Organization Studies, Journal of Management
2010. Pervez has published around 30 books and
Studies, International Business Review and Journal of
numerous articles in top-level journals. Business Research. Open Access
This article is distributed under the
Pervez N Ghauri completed his Ph.D. at Uppsala
terms of the Creative Commons Attribution 4.0
University (Sweden) where he also taught for sev-
International License (http://creativecommons.
eral years. Currently, Pervez is Professor of Inter-
national Business at University of Birmingham
org/licenses/by/4.0/), which permits unrestricted
(UK). Recently, he was awarded an Honorary Doc-
use, distribution, and reproduction in any medium,
tor of Economics by University of Vaasa (Finland).
provided you give appropriate credit to the original
Pervez is the Editor-in-Chief of the International
author(s) and the source, provide a link to the
Business Review. Pervez is a Fellow for both the
Creative Commons license, and indicate if changes
European International Business Academy (EIBA) were made.
Accepted by Alain Verbeke, Editor-in-Chief, 10 September 2018. This article has been with the authors for one revision.
Journal of International Business Studies