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Bargaining Range Theory in Conflict Resolution

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The graphic on pp. 104-105 illustrates the logic behind this proposition. Assume
conflicting interests over the
that two states—call them State A and State B—have
y
N
division of a particular good, represented by the green bar in each dialg'l'aï"l on the'
of territory, asin
left-hand page. To make this concrete, think of this good as a piece
the example on the right-hand page. Any line dividing the bar, such as the dotted
ble division of the good, such
line labeled Possible deal in panel 1, represents a possi
receives the share of the good to the
as a border drawn through the territory. State A
good to the right. Since both
left of that line, and State B receives the share of the
a deal as far to the
states prefer more of the good over less, State A wants to get
as possible. Put
right as possible, and State B wants to get a deal as far to the left
is at the far right
another way, State A's most preferred outcome, or ideal point,
ideal
of the bar, which would mean State A gets the entire good, and State B's
e good. (Hence,
point is on the far left, which would mean State B gets the entir
ining in
this horizontal bar is identical to the diagonal line used to illustrate barga
Figure 2.3 on p. 57).
Now consider what happens if the two states go to war. Moving to panel 2, the
line labeled War outcome indicates the actual, or expected, outcome of a violent
conflict. In the case of a conflict over territory, we can think of this line as indicating
how much territory each state would control after a war. The farther that line is to
the right, the better State A is expected to fare in the event of war; the farther it is to
the left, the better State B is expected to fare.
Crucially, fighting entails costs. These costs diminish the value ofthe
expected war outcome to each state. As shown in panel 3, the value of war to
each state is the share of the good it expects to win, minus the costs it expects to
incur. Notice that the value of war to State A (which corresponds to the portion
of the bar to the left of the dotted red line) is smaller than the share of the good
that it expects to get from war (the portion of the bar to the left of the War
outcome line). Indeed, as the figure is constructed, State A expects to win more
of the good in a war than it would get from the possible deal in the first panel,
but once the costs of war are taken into account, the possible deal is actually
preferable to war.
'To understand how the costs affect the value of war for each state,
we have to think about those costs as they relate to the value of the good.
Looking at the corresponding example on the right-hand page of the graphic,
imagine that State A expects to win 70 percent of the territory, at the cost of
5,000 lives. State A's war value hinges on how much State A values those lost
lives relative to the value of the territory. If State A thinks that losing those
soldiers is eguivalent to losing 30 percent of the entire territory, then its value
for war is 70 — 30 - 40 percent of the value of the territory. State B would make
a similar calculation. For both states, the costs of war would effectively increase
if either the number of lives lost went up or the value attached to the territory
went down.
As panel 4 shows, State A prefers over war any deal that gives it more than its
value for war (deals that fall to the right of the dotted red line). Deals in this range !
give State A more than it expects to get through war, once the costs aretakeninto
102
Chapter3 WhyAre There Wars?
f
)
account. Similarly, State B prefers over war any deal that gives it more than its value
for war (deals that fall to the left of the dotted blue line). Notice that the set of deals
that State A prefers to war overlaps with the set of deals that State B prefers to war,
creating a region called the bargaining range. Any division of the good in this bargaining range gives both states more than they expect to get from fighting a war. As
Ŵ
3
means that
costs on both sides
i demonstrates, the.fact that wa'r imposes
this
i exercise
Z
bargaining range
The set of deals that
na both
bargaining
in a i
parties
Pnedetioy
such a range ofdeals always exists. Hence, in theory, there are bargains that both
reversion outcome. When
sides would prefer over war.
Although the preceding exercise treated
the reversion outcome is
war, the bargaining range
indi
g
5
good in dispute as a piece of ter
& and insight canthe
Sframework
ritory, this general
be applied to any kind ofissue over
is the set of deals that both
sides prefer over war.
which states have conflicting interests. For example, consider the conflict between
North Korea and the United States over the former's nuclear arsenal. In this case,
the United States' ideal outcome, which we could put at one end of the bar, is for
North Korea to disarm completely and become a democratic state. North Korea's
ideal outcome, which would be located at the opposite end of the bar, is for the
United States to accept North Korea's status as a nuclear power and recognize its
existing regime.
In between are various compromise alternatives that neither considers
ideal, including the current status guo, in which North Korea has a modest
number of nuclear devices but the United States refuses to recognize its right
to them. This point is close to North Korea's ideal point. Another point on the
bar, closer to the United States' ideal point than to the status guo, would be for
North Korea to dismantle some of its nuclear weapons and admit international
inspectors. Though the substantive meaning of any location on the bar depends
on the exact issue in dispute, the basic argument for the existence of
a bargain-
ing range holds across issues.
Clearly, this simple model does not accurately describe the complexity of realworld bargaining interactions. Nevertheless, it is useful because it forces us to think
about all the ways in which bargaining could go wrong. Understanding why wars
happen even though a peaceful bargain theoretically exists for virtually any conflict
is the main purpose of this chapter.
Compellence and Deterrence:
Varieties of Coercive Bargaining
The model is also useful for thinking about the conditions under which states
might have an interest in initiating a crisis in the first place. The pre-crisis
distribution, or status quo, can be represented as a line dividing the bar
(see Figure 3.2). Where the status quo is located relative to the states' values
for war determines which state, if any, might have an interest in changing the
status guo througha threat of force. If a state is already getting from the status
guo at least as much as it expects to get through war, then it generally cannot
gain by threatening war to change the status guo. However, if a state expects
to get more through war than it has in the status guo, then it has an interest in
making
a challenge.
'What Is the Purpose of War?
103
The Model: Bargaining and War
1.A possible deal: Two states, A
and B, have conflicting interests
N
GIH TITFE THW
3
over a good [represented by the
Jr
<
green bar). Both states want as
much of the good as possible.
A
's
SHARE
F—LYEESKLî
— B
The dotted line represents the
“
distribution of the good based on
X
one possible deal. Any deal
determines A's and B's shares.
v
J
T
STATE A's SHARE
POSSIBLE
DEAL
STATE A's IDEAL OUTCOME
2. The expected outcome of war:
WE
AFTER
WAR ,
As they bargain, each state
evaluates how much it can
expect to get as a result of
war. The dotted line shows the
expected outcome of war. Here,
A would get more by going to war
than by accepting the above deal.
—V
A's SHARE AFTER WAR
U
WAR
OUTCOME
i
3. Costs of war: However, war
also involves costs, and these
costs must be subtracted from
what each state hopes to gain.
So, although war would give A
more of the good than it would
COSTS : VALUEOF
TOB
: WARTOB
B
A 3
jé\
N
v
get under the deal in panel 1, the
:
of war to A.
v”
TOA
4, The bargaining range: Each
DEALS BIgHEERSTOMAR
state pregrs ane dealgthat gives it
more than its expected value of
J
H
COSTS — WAR
VALUE OF WAR TO A
costs incurred reduce the value
OUTCOME
;
uu
AA
l]UTIê(IME
ARD
:
war, once costs are subtracted.
Because war inflicts costs on both
A
B
sides, there is a range of possible
deals that both sides would prefer
over war.
%__J:
VALUE OF WARTO A
104
Chapter3
Why Are There Wars?
5
H
.
:
DEALS A PREFERS TO WAR
>
An Example: Bargaining over Territory
POSSIBLE DEAL
1. A conflict over territory:
Imagine two states have a
conflict of interest over a
piece of territory. State A
would like to have the whole
territory, as would State B.
A deal is proposed to divide
the territory at the dotted line.
WAR OUTCOME
2. The expected outcome of war:
Based on the strength of
their respective armies and
other resources, a war over
the territory is expected to
result in State A winning the
portion of the territory to the
left of the dotted line.
WAR OUTCOME
3. Costs of war: Each side also
considers the costs of war.
Imagine that State A values the
.0OSTS OF WAR
territory it would win as a result
of war at $100 million but value
the costs of war (both financial
and human) at $30 million.
These costs would reduce the
value of war to A by 30 percent.
WAR OUTCOME
4. The bargaining range: Each
side should prefer any deal thaî
gives it more territory than wha
it expects from war, once the
costs of war are subtracted fror
the territory it wins. Any border
drawn through the shaded rang
divides the territory into shares
that both sides prefer over war.
What Is the Purpose of War?
105
The top panel of Figure 3.2 depicts sucha situation: in the status guo, State A's
share of the good is less than what A would expect to gain from war, even when the
costs of war are taken into account. This does not mean that there will be a war,
since, after all, a bargaining range still exists. But in this situation, the dissatisfied
state can profit by threatening war in order to get a better deal. As the lower panel
in Figure 3.2 shows, this logic divides the bar into three segments. If the status guo
is to the left of the red dotted line indicating State A's value for war, then State A has
an interest in threatening war to try to get a better outcome. Similarly, if the status
guo is to the right of the blue dotted line indicating State B's value for war, then
State B prefers war over the status quo and thus has an interest in sparking a crisis.
Finally, if the status guo is in the bargaining range, then both prefer the current
situation over war, and neither can expect to gain by waging war.
We often classify threats according to whether they are intended to preserve or
îgg:iî“îlïînge Wa
status guo through the
change the existing relationship between states. An effort to change the. st_ams quo
through the threat of force is called compellence. A compellent threat is intended
threat of force
to coerce the target state into making a concession or changing a current policy.
Compellent threats take the form of “Give me y, or else” (where y is something
deterrence
that the threatener values) or “Stop doing x, or else” (where xis an objectionable
An effort to preserve the
policy). The United States' demand that Afghanistan hand over Osama bin Laden
hroughthe
quoforce.
stetus of
threat
and stop harboring the Al Qaeda terrorist network after the 9/11 attacks is an
example of compellence.
A strategy of deterrence, by contrast, seeks to preserve the status guo by threatening the other side with
unacceptable costs if it engages in some undesirable
behavior. A deterrent threat takes the form of “Don't do
x, or else” (where x is some possible future action that
the threatener finds objectionable). The most common
deterrent threat is one that all states make implicitly all
the time: “Don't attack me, or Pll fight back.” This effort
to deter attacks on one's own country is referred to as
general deterrence. Another form of deterrence occurs
whena state seeks to protect a friend. In this case, the
deterrent message takes the form of “Don't attack my
ally x, or else.” This kind of threat is generally referred
In a 2012 speech to the United Nations, Israeli
to as extended deterrence because in this case the threat-
prime minister Benjamin Netanyahu declared
ener attempts to extend protection to another state.
that Israel would not permit Iran to reach
Extended deterrence is crucial in the context of alli-
the
final stage of acguiring a nuclear weapon. He
argued that a credible threat of military action
was needed to deter Iran from crossing that
“red line.” In 2020,
the killing of top Iranian
ances, a subject that we will consider in Chapter 5.
In general, crises may involve a combination of
deterrent and compellent threats. When one side tries
nuclear scientist Mohsen Fakhrizadeh was
to compel another, the target may issue deterrent
attributed to Israel as evidence of its continued
threats, or some third state may issue a deterrent threat
determination to prevent Iran from developing
nuclear warheads.
on the target’s behalf. Crises often involve such threats
and counterthreats, as each side tries to improve its
bargaining position by bringing to bear its capability to
106
Chapter3
Why Are There Wars?
FISURE3.2. Bargaining and the Status Quo
Here, the status guo clearly gives State A less than war would (the value of war equals the war
outcome minus costs).
STATUS QUO
ASSHARE
Î
B's SHARE
A - nARsA|u|i|G'nAu递;— B
VALUEOFWARTOA
COSTSTOA COSTSTOB
VALUE OF WARTO B
WAR OUTCOME
State A has an incentive to challenge any status quo that gives it less than
war would, because
it cnu!d.do better by going to war. The same holds for State B. If the status
guo is within the
bargaining range, however, neither State A nor State B could improve its outcome
by going to
war, so neither state will challenge the status quo.
STATUS QUOS THAT A
WILL CHALLENGE
05
Al
STATUS QUOS
NEITHER WILL CHALLENGE
STATUS QUOS THAT B
WILL CHALLENGE
A
Fu
WR
Ŵa N
)
WAR OUTCOME
harm the other. In many cases, threats alone will succeed in bringing about an outcome that both sides find acceptable. Indeed, the most effective threats never need
to be carried out, since they coerce the target into making desired concessions or
refraining from objectionable actions. If this contest of threats fails to generate an
outcome that both sides prefer over fighting, we then observe the descent into war.
This brings us back to the core puzzle: Given the costs associated with war, why
does crisis bargaining sometimes fail to achieve a peaceful solution? The following
sections elaborate several possible answers.
Do Wars Happen by Mistake? War
from Incomplete Information
In July 1990, Irag was engaged in coercive diplomacy with its small neighbor to the
south, Kuwait. Two years earlier, Irag had emerged from a disastrous eight-year
war with Iran, and Iraqi leader Saddam Hussein desperately needed to rebuild his
Do Wars Happen by Mistake? War from Incomplete Information
107
MAP32 Oil Fields in Iran, Irag, Kuwait, and Saudi Arabia
\‘ sAumAnA'BIA k’
N
N
country's shattered economy. Given that Irag was sitting on oil deposits containing
an estimated 112 billion barrels of oil, it was not hard to imagine where money for
Source: A.S. Alsharhan,
“Petroleum Systems in the
Middle East,” Geological
Society, London, Special
reconstruction would come from. But Hussein was not content simply to pump and
sell Irag's own oil, and he guickly turned his gun sights on Kuwait.
Kuwait's 95 billion barrels of recoverable oil reserves made a tempting target,
and moreover, Hussein felt that his neighbor was standing in the way of his plans
Publications, 392, 361-408,
1 January 2014, https://doi
.org/10.1144/SP392.19.
for economic recovery. For one thing, Kuwait was pumping more oil than it had
previously agreed to. This extra supply meant that the price of oil was lower than
it would otherwise be, depriving Irag of needed revenue. Iraq also charged that
Kuwait was stealing oil from oil fields that straddled the countries’ shared border,
as shown in Map 3.2. Finally, Kuwait had lent Irag substantial sums of money during
the war, and Saddam Hussein hoped to get this debt forgiven. When Kuwait refused
demands to reduce its oil production, reimburse Irag for the “stolen” oil, and forin mid-July, Irag started
give the debts, Irag flexed its military muscle. Beginning
108
Chapter3
Why Are There Wars?
moving its forces closer to the border with Kuwait, at one point moving an entire
division per day. By the end of the month, 100,000 Iragi troops, supported by
thousands oftanks, were in position near the border.
With the help of spy satellites, American officials watched the buildup, and
they passed on their intelligence to the Kuwaitis. Despite their concern, most officials in the U.S. government did not anticipate that Irag would invade, nor did the
Kuwaitis bow to Hussein's demands. To many observers, the Iragi moves looked
like an effort to intimidate, not a prelude to invasion. According to reporter Bob
Woodward’s account, “Everything Saddam had to do to prepare for an invasion was
exactly what he also had to do if his intention was simply to scare the Kuwaitis.
There was no way to distinguish the two.”"” On August 2, with Kuwait still holding
out, Hussein revealed that he had not simply been bluffing: Iragi forces swept into
Kuwait and fully occupied the country in a matter of hours.
In retrospect, it is clear that Irag was willing and able to wage war against Kuwait
ifits demands were not met. At the time, however, key decision makers in Kuwait and
Washington were not sure of Hussein's intentions. Would he really risk the wrath of the
world by gobbling up his small neighbor? Would he be willing to put his military and his
country through another war so soon after the previous one? The invasion of Kuwait
happened in part because, unsure of the answers to these guestions, the Kuwaitis
decided that calling Hussein's bluff was preferable to giving in to his demands. When it
became apparent that the threat was not, in fact, a bluff, war was already upon them.
This episode illustrates one reason that bargaining can fail to resolve disputes
and avert war. When states have poor and incomplete information about each
other's willingness and ability to wage war, two mistakes are possible, both of
which can lead to armed conflict. First, a state confronted by demands may
mistakenly yield too little or not at all—just as Kuwait failed to budge in the face of
Hussein's threats. In these cases, bargaining can break down because at least one
state feels that it can achieve more through fighting (in this case, Irag) than the
other is willing to offer in the negotiations (Kuwait). The second, related danger is
that a state may demand too much (Irag in this example) under the mistaken belief
that the other side will cave in (Kuwait, and its protector, the United States). In this
event, the state may not realize its mistake until war is already upon it. In either
case, even though there might be a way to settle the issue that both sides would
prefer to war, uncertainty about each other's willingness to wage war can prevent
such a settlement from being reached.
Where does this uncertainty come from? Recall that the main issue in crisis
bargaining
is how each state evaluates its prospects in a war. How likely is it that the
state will be able to win the war? What will the human, financial, and political costs
be? These assessments are important because each state's value for war determines
what bargains it prefers over fighting. If one state is uncertain of how much its
adversary values war, then it is also uncertain of how much it must concede in order
to prevent a war. This uncertainty will arise whenevera state lacks information
about any of the myriad factors that determine its adversary's evaluation of war.
17. Bob Woodward, The Commanders (New York: Simon & Schuster, 1991), 200.
Do Wars Happen by Mistake? War from Incomplete Information
109
In September 2016,
Russia initiated
massive military
drills off the coast of
Crimea, showcasing
the country's ships,
cruise missiles, and
antiaircraft system.
The degree to which a
country will mobilize
its capabilities for
war can be a source
of uncertainty in
bargaining.
are
A poker analogy is useful here. In poker, the fact that at least some cards
hidden from view means that players know more about the strength of their own
hand than do their opponents. The hidden cards are what might be called private
information: important facts that are known only to the player who observes those
cards. Because no player sees all the cards, the game is played under a condition
incomplete information
known as incomplete information. All players lack information about their
A situation in which actors
in a strategic interaction
opponents' hands and have private access to information about their own hands.
Incomplete information arises in crisis bargaining when states cannot readily observe or measure the key political and military factors that determine their
lack information about other
actors' interests and/or
adversaries’ expected value for war. The hidden cards in this context can be many
and varied, and we typically differentiate between two broad classes of unknowns:
capabilities and resolve. Capabilities are factors that determine the state's physi-
capabilities.
cal ability to prevail in war: the number of troops it can mobilize, the number and
guality of its armaments, the economic resources it has to sustain the war effort. We
might also include in this list the guality of the country's military leadership and
military strategies. In addition, since third parties sometimes join wars on one
or both sides, any uncertainty about what those third parties will do can lead to
uncertainty about the capabilities that each side will bring to bear in the event of
war (see Chapter 5).
resolve
Resolve, a more abstract concept, refers to a state's willingness to bear the
The willingness of an actor
to endure costs in order to
acquire a particular good.
costs of fighting and how much the state values the object of dispute relative to
those costs." How many people is the country willing to lose in order to obtain,
say, a given piece of territory? How much is it willing to pay in blood and money
in order to win policy concessions or change another country's regime? Resolve
18. Resolve is a widely used concept in international relatio
ns, but scholars often
differ in their views of
wh?t'n means and how it ils determined. See, for exampl
e, Joshua D. Kertzer, Resolve in International
Politics (Princeton, NJ: Princeton University
Press, 2016).
110
Chapter3
Why Are There Wars?
determines not only whether a state is willing to fight but
its potential capabilities would actually be mobilized
also the degree to which
in the event of war. We fre-
mobilize their
guently make the distinction between total wars (in which states
(in which states fight with
entire military and econo mic resources) and limited wars
limited or of
s
something less than their full potential, often because their aim are
relatively low value).
iHowa state evaluates the stakes of conflict determines where on this cont
as a war
nuum its effort will fall. The combatants in World War II saw the conflict
of national survival, and during the height of the war (1943-45) the United States
spent about 37 percent of its gross domestic product (GDP) on defense. Other belligerents spent half of their GDP or more. By contrast, total U.S. defense spending in
2008, in the midst of wars in Irag and Afghanistan, amounted to about 4 percent of
GDP, and only a portion ofthat paid for those wars. Resolve is obviously a difficult
guality to measure, as it hinges on a variety of political, ideological, and psychological factors. Indeed, it may be difficult for a leader to accurately assess his or her own
country's resolve, much less the resolve of its adversary.
How could such uncertainty lead to war? When states have incomplete information about the capabilities and/or resolve of their opponents, bargaining over
goods that they both desire may fail to achieve peaceful settlements. A central
dynamic of bargaining under this kind of uncertainty is a phenomenon known as a
risk-return trade-off: essentially, there is a trade-off between trying
to get a good
deal and trying to minimize the possibility that war will break out.
At one extreme, - a state can ggenerall; ly ensure peace by capitulating
i
i to all of its
i
adversary’s demands. “Peace at any price” might not be a very attractive outcome,
however. Kuwait, for example, could have given in to all of Irag's demands and
would likely have avoided war. At the other extreme, a state can hold firm and yield
risk-return trade-off
In crisis bargaining, the
Madesol BEOY
I LIDO
AD
b
i
to avoid a war.
nothing to its adversary. This strategy promises a good deal if it works, but doing so
runs a risk that the adversary will decide to fight rather than settle for nothing—as
Irag did when Kuwait refused to give in. Between these extremes, a state will generally find that it can reduce the risk of war only by making more generous offers,
moving away from its ideal outcome. Put another way, a state can improve the bargaining outcome for itself only by embracing a higher risk of war. Although war is
costly and regrettable in retrospect, bargaining strategies that entail a risk of war
can be perfectly rational, given the uncertainty that states face.
Incentives to Misrepresent and
the Problem of Credibility
Given that incomplete information can lead to war, why can't states simply tell
each other how capable and resolved they are and thereby avoid conflict? Actually,
a large part of what goes on in a crisis consists precisely of such efforts at communication. Crises are generally characterized by diplomatic exchanges, threats
and counterthreats, mobilization of forces, movement of troops, and positioning
of weaponry. These actions, in part, have a military purpose: one cannot wage war,
after all, without first mobilizing the necessary forces and putting them in place.
Do Wars Happen by Mistake? War from Incomplete Information
111
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