Bargaining Model Flashcards

(43 cards)

1
Q

What is bargaining?

A

Bargaining is the process by which two rational actors who pursue their self-interests attempt to reach an agreement about alternative ways to divide a given (and known) surplus, earned from their cooperation

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2
Q

What is the most prominent bargaining model?

A

The Rubinstein model
- Ariel Rubinstein
- He solved it in 1982
- Before his insight, bargaining procedure was thought as a black box

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3
Q

What are other terms for the Bargaining Theory (BT) of war?

A
  • Bargaining model of war
  • Rationalist explanations of war
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4
Q

What is the origin of bargaining theory of war?

A
  • Carl von Clausewitz
  • Book On War (Vom Kriege): importance of bargaining in politics
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5
Q

What does Carl von Clausewitz say about war?

A

The political object is the goal, war is the means of reaching it, and means can never be considered in isolation from their purpose
- War for its own sake has no value
- One would never pursue it without the accomplishment of some larger political aim

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6
Q

What is Thomas Shelling known for?

A
  • Thomas Shelling (1921-2016) was one of the first modern social scientists (economist) frame conflict/war as a bargaining process, using mostly informal discussion and early noncooperative games
  • He won the Nobel Prize in Economics in 2005
  • He is mostly known for his ideas of credible commitment, focal points and for applying game theory to the Cold War
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7
Q

What did Shelling posit about conflict?

A
  • Thomas Shelling. 1960. The Strategy of Conflict.
    – Most conflict situations are essentially bargaining situations
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8
Q

How did Shelling affect the understanding of bargaining/settlement

A
  • The notion of bargaining/settlement is now at the centre of how we understand war
    – Previously one assumed that wars end because of unilateral capitulation or conquest
  • “The link between diplomatic crisis and the outbreak of war seems central to the understanding of war”
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9
Q

What had happened to the Bargaining Theory of War by the 1980s

A
  • By the 1980s, the BT of War was increasingly expressed in formal term
    – A formal model is a precise statement of components to be used and the relationships among them
    – Formal models are usually stated via mathematics, often equations
  • During this time, more and more scholars claimed that war is a deliberate political act
    – Which is at odds with many of the previous theories
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10
Q

James Fearon facts

A
  • James D. Fearon. 1995. Rationalist Explanations for War.
  • Fearon is among the most influential IR scholars of the last twenty years
  • He provided not only the formative basis, a coherent intellectual framework but also articulated its core puzzle
    – “War is costly and risky, so rational states should have incentives to locate negotiated settlements that all would prefer to the gamble of war”
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11
Q

Underlying assumptions of Bargaining Theory of War

A
  • States are rational
    – They try to maximize their expected utility
  • War is costly for all parties
    – Fighting is costly because it kills people and destroys assets
    – Fighting is costly because it diverts resources
    – Difference with other models on war: they assume that war can have positive utility, ie. provide benefits to the victor (and greater than the costs suffered on the battlefield)
    – In bargaining model: fighting in itself is costly belligerents always suffer some negative utility
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12
Q

What is Fearon’s conclusion on war?

A

War is inefficient
- War is always inefficient ex post - both states would have been better off if they achieve a resolution without suffering the costs

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13
Q

What are the five existing explanations as to what prevents states from reaching ex ante agreements that avoid the costs they know will be paid if they go to war?

A
  • Anarchy
  • Preventive war
  • Positive expected utility
  • Rational miscalculations due to lack of information
  • Disagreement about relative power
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14
Q

What does Fearon show about war?

A

Fearon shows that there is always a set of negotiated settlements that both actors prefer to going to war

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15
Q

What is the relationship between Bargaining Theory of War and neorealism

A
  • Very strong relationship between BT of War and neorealism
  • “If no rationalist explanation for war is theoretically and empirically tenable, then neither is neorealism”
    – If rationalist explanations of war do not hold then war is caused by human nature or individual states rather than international systems (which goes against neorealist views)
  • Fearon argues that existing neorealist explanations (such as anarchy, etc.) are not able to fully explain the occurrence of war (or lack thereof)
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16
Q

Why, according to Fearon, does Anarchy fall short as an explanation for war?

A

Anarchy: War occurs because no one can stop it
- It increases fear and opportunity for conflict, but how does a lack of central authority prevent negotiations?

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17
Q

Why, according to Fearon, does Positive Expected Utility fall short as an explanation for war?

A

Positive expected utility: War is a better option than any bargain
- Informal versions fail to address the question of how or under what conditions it can be possible for two states to prefer costly option of war over any settlement

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18
Q

Why, according to Fearon, does Preventative War fall short as an explanation for war?

A

Preventative war: Declining powers attack rising powers to prevent future attack
- Arguments do not consider whether the states could construct a bargain that would leave both parties better off

19
Q

Why, according to Fearon, does Rational miscalculation due to lack of information fall short as an explanation for war?

A

Why can states not avoid miscalculations of a potential opponent’s willingness to fight?

20
Q

Why, according to Fearon, does Disagreement about relative power fall short as an explanation for war?

A
  • Disagreements about relative strength can eliminate ex ante bargaining range
  • Even if this is the case, both sides gain by sharing information, which can help to reveal bargain that both prefer over war
21
Q

What is the connecting weakness that Anarchy, Positive Expected Utility, and Preventative War all have as explanations for war?

A

All three explanations do not explain why states use force when it is not in their interest, ie. there are outcomes that both prefer to fighting

22
Q

What is the strength that rational miscalculation due to lack of information and disagreement about relative power have for explaining war?

A

They address the question (why war?) up to a point: rational leaders may miss superior negotiated settlement when lack of information leads to miscalculate relative power or resolve

23
Q

What do rational miscalculation due to lack of information and disagreement about relative power fail to explain?

A
  • They do not explain what prevents rational leaders from using diplomacy to avoid such miscalculations
  • ie. they do not go far enough!
24
Q

What are the two steps that need to be taken to tackle the lack of resolutions possible in bargaining theory of war?

A
  • (1) We need to prove that there always exist a bargaining solution that is better for both states than going to war
    – In other words, we need to prove that bargaining agreement > war
  • (2) If such a solution exists; how can we explain the fact that states still go to war?
25
Parameters of a model of bargaining theory of war
- Two states: A and B - Bargain over a set of issues represented by an interval [0,1] - pA is the probability that player A wins a war - pB is the probability that player B wins a war; you can also write it as (1-pA) - No draws, so pA+pB = 1
26
Costs present in the model of bargaining theory of war
- Core assumption: war is costly - If the states fight a war, they pay costs: -- cA > 0 -- cB > 0 - These costs reflect absolute costs (how many people will die) and "resolve" (how much the state cares about the issue) - Is Fearon right to assume that bargaining settlements > war?
27
State A's expected utility from war equation (model for bargaining theory of war) (this is the exact same for B just switch A for B)
Expected utility of war = [(probability of winning x payoff if win) + (probability of losing x payoff if lose)] - cost of war - UA(war) = pA(1) + (1-pA)(0) - cA
28
What do the different parts of the equation of state A's expected utility from war mean? And simplified equation (this is the exact same for B just switch A for B)
- pA: probability of A's victory - 1 means that A gets the whole of x (A wins the war) - 1-pA: probability of A's defeat - 0 means that A gets nothing of x (A loses the war) - cA: cost of war for A UA(war) = pA - cA
29
What resolutions will A and B accept in a negotiation situation?
- A accepts any resolution x that meets the condition: **x ≥ pA - cA** -- State A cannot improve its outcome by declaring war if its share of the bargained resolution is greater than or equal to its expected utility for fighting (going to war) - B accepts any remained of the division (1-x) that meets the following condition: 1-x ≥ pB - cB -- **x ≤ 1 - pB + cB** -- B is at least as well off, if its share of the bargained resolution is greater than or equal to its expected utility for fighting (going to war) -- B would rather fight than allow A to take more than a - pB + cB
30
What requirements does x need to follow in order for us to know there are viable alternatives to war?
- State A is satisfied if x ≥ pA - cA - State B is satisfied if x ≤ 1 - pB + cB - Mutual satisfaction if: pA - cA ≤ x ≤ 1 - pB + cB -- As long as this mutual satisfaction exists an alternative (x) to war is guaranteed to exist
31
What is the solved/simplified equation for the mutually satisfactory requirements for A and B
pA - cA ≤ a - pB + cB -> cA + cB ≥ 0
32
What is the interpretation of the equation cA + cB ≥ 0
A bargained resolution must exist if sum of cA and cB is greater than or equal to 0 - Recall: both cA and cB are individually greater than 0 -- War is always costly for each state - Thus if we sum them together, we end up with a number greater than 0 - Therefore we know cA + cB ≥ 0 must hold - In turn, bargained resolution must exist
33
Key implications of cA + cB ≥ 0 for Fearon
- There always exists a set of negotiated settlements that both sides prefer to fighting - The existence of this ex ante bargaining range derives from the fact that war is inefficient ex post
34
What are Fearon's three exceptions/explanations under with war is possible (preferred over a bargaining solution)?
- Incentives to misrepresent private information - Commitment problems - Issue individisibility
35
If war is costly, why can states not simply tell their opponent their demands and avoid the cost of war?
- Private information about relative capabilities - Incentives to misrepresent such information
36
What rational accounts is incentives to misrepresent private information linked to?
- Realize that this explanation is based on existing rational accounts (rational miscalculation due to lack of information and disagreement about relative power) - Note: both pr(victory) and costs can be misrepresented
37
Example of misrepresentation of private information
- Germany vs USSR - Germany invaded the USSR in June 1941 - Hitler recognized that he clearly underestimated the Soviet capabilities - He remarked that if he had believed the more pessimistic reports, he might not have ordered the attack - In other words, uncertainty about each others capabilities can cause war and complete information can help states to avoid fighting
38
What are the problems with the signals used to exaggerate capabilites? What do these signals depend on?
It can increase the probability of "accidental" wars - These signals depend on the existing (initial) power balance between states
39
Why does misrepresentation of private information happen?
- States have incentives to exaggerate their capabilities and resolve to extract better offers -- eg. diplomatic talks, arms build-up, mobilization of troops, military drills, sending troops abroad - There may be military advantages to keeping a particular strategy secret
40
What is meant by a credible commitment problem that causes war?
- War may occur because of an inability to commit not to fight in the future (commitment problem) - Mutually preferable bargains are unattainable because one or more states have an incentive to renege on the terms of an agreement -- "The strategic dilemma is that without some third party capable of guaranteeing agreements, state A may not be able to commit itself to future foreign policy behavior that makes B prefer not to attack at some point" - Similar to prisoner's dilemma game
41
How does Fearon feel about the issue indivisibility problem?
Fearon is not too convinced - Issue indivisibility could in principle make war rational for the obvious reason that if the issue allows only a finite number of resolutions, it might be that none falls within the range that both prefer to fighting
42
Why does BT of War have (high amounts of) criticism?
- BT of War is a highly theoretical model - There is limited amount of empirical testing, or we test only parts of the model - This is partly because it is difficult to produce good proxies for key concepts of the theory
43
Criticisms against the BT of War
- Bargaining theory assumes that states are unitary actors - Bargaining theory is often modelled as a two-player game - Bargaining theory assumes war is over once a settlement is reached