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[Note for bibliographic reference: Melberg, Hans O. (1998), Is ethnic conflict the outcome of individually rational actions?, www.oocities.org/hmelberg/papers/980522.htm]

 

Is ethnic conflict

the outcome of

individually rational actions?



A case study in the application of the tools of rational choice and game theory to ethnic violence

by

Hans O. Melberg
The University of Oslo
May 1998


Table of contents

1. Introduction

- 1.1. General introduction
- 1.2. Detailed introduction
- 1.3. Arguments and Structure

2. Ethnic violence

- 2.1. Importance
- 2.2. Definition
- 2.3. Theories of ethnic violence

3. Three big rational choice explanations: Grand Theory

- 3.1. Selective incentives
- 3.2. Reputation
- 3.3. Including and excluding beliefs and preferences

4. Rational and Emotional as Complementary

- 4.1. Multiple motivations
- 4.2. Multiple phenomena to be explained

5. Two small rational explanations: Mechanisms

- 5.1. Laws vs. mechanisms
- 5.2. Collapse
- 5.3. Window of opportunity and Credible promises

6. Conclusion

7. References

8. Appendicies
- 8.1. Appendix 1: The formal solution of the KRMW model
- 8.2. Appendix 2: A critical note on the logic behind the KRMW results using the Chain Store Paradox as an example
- 8.3. Appendix 3: Policy implications and the future


Is ethnic conflict the outcome of individually rational actions?

1. Introduction

1.1. General introduction
When Durkheim (1912) wrote his famous study of suicide he chose a topic which appeared to be far out of reach for his approach. Suicide was viewed as a problem of micro-psychology, not as a promising area for a subject concerned about the general laws of society. Yet, Durkheim chose the latter and by so doing gave fuel to a debate that has lasted ever since.

In this paper, I want to take a critical look at a similar project: The use of rational choice explanations for behaviour which seems to be obviously irrational. The behaviour under question is ethnic violence. This kind of behaviour appears irrational for at least two reasons; one flawed and one worthy of investigation. First, the very evilness of the phenomenon may make people believe that it is irrational - how can war, violence and ethnic cleansing be rational? Yet, this is surely flawed reasoning. Individual rationality as it will be defined in this paper, does not exclude bad outcomes. In fact, the well known Prisoners Dilemma illustrates precisely that rational individuals may end up in an inferior social equilibrium. hence, the true reason why ethnic violence appears irrational, is the basic problem of collective action. If individuals are rational, how can we explain that they risk their lives fighting for the larger group? It is this question I have judged worthy of closer examination.

1.2. Detailed introduction
The basic problem of collective action is formalized in the game below (the one-shot, two player, complete information game in figure 1):

Figure 1 The Prisoners' Dilemma  

		Player 2
		
	(C)ooperate 	(D)efect  
Player 1
Cooperate 	1 , 1 		b , a 

Defect 		a , b 		0 , 0 


It is a well known result that as long as a>1>0>b rational and selfish players will end up receiving 0 each. The short explanation is that whatever Player 2 does, it is best for Player 1 to play D. If Player 2 cooperates, Player 1 can get a by defecting (and a>1 which is what you get if you cooperate when the other also cooperates). If Player 2 defects, Player 1 should also defect since 0>b. Technically speaking the strategy C is strictly dominated by D for both players and elimination of strictly dominated strategies in this case leaves only one pair of strategies (D, D) which then must be the Nash equilibrium (Roughly defined as a situation in which no player wants to change his strategy).

A more general way of illustrating the problem, is by using so called Schelling diagrams. On the horizontal axis we measure the number of people who play cooperation (n) and on the vertical axis we measure utility. Sine the line representing Defect is always above the line Cooperate regardless of the size of n (i.e. the number of cooperators) this indicates that it is always most profitable to defect. Later we will see how assumptions about the motivational structure may change the situation - for instance, if people have a desire to do what the majority does.

Figure 2 The Generalized Multi-person Prisoners Dilemma



The relevance of this to ethnic violence should be clear. Ethnic violence requires actors who are willing to risk their lives ("cooperate"), and it seems that this action cannot be consistent with the assumption of rational and selfishness players (who would "defect"). Despite the theoretical prediction that cooperation will not take place, ethnic violence is an undeniable empirical phenomena and this calls for an explanation. Is it because we are irrational or unselfish? Or is it because the game above does not capture the true situation and its payoffs?

1.3. Arguments and Structure
It should be obvious that I cannot survey the whole literature on ethnic violence or try to answer all the questions about this topic. My focus will be on the extent to which we can use the tools of rational choice and game theory to help us in our understanding of ethnic violence. To answer this question I selected a few big and small rational choice arguments for closer examination. My conclusion, and this is my arguement, was that many of the rational choice arguments were flawed as rational choice arguments i.e. when they were put under closer and more rigorous scrutiny they appeared unrealistic and/or not to give the conclusion they were supposed to. Thus, my main criticism in this paper is not that the theories ignore emotions (which they do, see Petersen 1997 and Cunningham 1997), but that they are simply not good and realistic rational choice explanations.

To present this argument I first discuss ethnic violence - its importance, its definition and the various theories of ethnic violence. In the next chapter, I critically examine three big rational choice explanations of how the problem of collective action is solved: using selective incentives, by introducing uncertainty, and by playing with the concepts of beliefs and preferences. Having partly rejected these rational explanations of collective action, I go on to examine whether there is a conflict between explanations that focus on rational vs. emotional forces, using Schelling diagrams to explain how rational and non-rational motivations may interact to create collective action. The next section examines whether the main use of game and rational choice theory is to aid the construction of small scale mechanisms that help to explain some aspects of ethnic violence, as opposed to producing grand theories of ethnic violence.

2. Ethnic violence

2.1. Importance
According to Gurr and Harff (1994:xiii) eighteen out of the twenty-two hot wars in 1993 involved ethnic conflict. Moreover, 25 million refugees were fleeing from communal conflict and 4 million had died as a result of these conflicts (200 000 in 1993). Altogether 233 significant ethnic groups were mobilized during the 1980s (Väyrynen 1991:59) and ethnic nationalism has been claimed to be the main cause behind the collapse of the Ottoman Empire, Austria-Hungary and the Soviet Union. Surely we are facing a phenomenon worth investigating?

Against the grim view that ethnic conflict is widespread, Fearon and Laitin (1996) ask us not to exaggerate the occurrence of violence between ethnic groups. For instance, using the number of languages in a country as a proxy for the number of ethnic groups, they calculated the number of potential conflicts in 36 African countries. They then examined the number of actual conflict and found that less than one percent of the groups that potentially could be in conflict actually experienced violent conflict (Fearon and Laitin 1996:717).

In addition to presenting a factual picture, the statistics above suggest that a good grand theory of inter-ethnic relations should both predict low levels of enter ethnic violence as well as suggesting how the non-violent equilibrium might break down. Thus, Fearon and Laitin do not think ethnic violence is unimportant, only that a good explanation should not over-predict violence.

2.2. Definition
When is violence ethnic and what counts as violence? On the first question, we need to examine the motive for the violence. If a Hindu kills a Muslim in India, this should not automatically qualify for the label ethnic violence since the motive for the killing may have been non-ethnic (economic gain and so on). Only when a person is selected because he or she belonged to that group do we have a clear example of ethnic violence. One may then doubt the numbers indicating the importance of ethnicity given in the beginning of this paper. Maybe ethnicity is just a fig-leaf for economic interests in conflicts?

As for the question of what counts as violence, we could make several distinctions. In the mentioned article by Fearon and Laitin, they distinguished between four types of violent ethnic conflict: regular violence, irredentism, rebellion and civil war. Other commentators have distinguished between two types of violence: high and low (Fearon 1998). High is defined as secessionist wars and fights over control over government. Low is characteristic of riots and pogroms.

One might say that this is simply a question of words, but this is to miss the methodological problems involved. When we are trying to explain the level of ethnic violence, we have to find a number which measures ethnic violence. The problem involved in finding this number is that violence takes many forms and cannot simply be added to create an aggregate measure of violence going from 0 to 100 against which we can run a regression with different explanatory variables. In short, it is difficult to add the number of rapes, the number of killings and the number of beatings by one group against another to create a nice one-dimensional dependent variable.

2.3. Theories of ethnic violence
Explanations of ethnic violence is commonly divided into two categories: Rational (or instrumental) vs. Emotional (or primordial, psychological) (Gurr and Harff 1994:78). As an example of the emotional theory, consider the following quotations from Walker Connor:

"the national bond is subconscious and emotional rather than conscious and rational in its inspiration" (Connor 1994:xiii).
"Explanation of behaviour in terms of pressure groups, elite ambitions, and rational choice theory hint not at all the passions that motivate Kurdish, Tamil, and Tigre guerrillas or Basque, Corsican, Irish, and Palestinian terrorists. Nor at the passions leading to the massacre of Bengalis by Assamesc or Punjabis by Sikhs. In short, these explanations are a poor guide to ethnonationally inspired behaviour." (Connor 1994:74)


As a representative of the rationalist school, we may cite Russell Hardin who writes that:

"In our time there is massive mobilization of groups, especially ethnic groups, for ostensibly group-level purposes. Individuals have identified with groups so strongly that they seem to forgo their personal interests while seeking their group's interests. The common understanding of the logic of collective action suggests that these group-oriented actions cannot be rational in the sense of being individually self-interested. Instead, seemingly, they must be irrational (people are foolish or crazy) or extra-rational (people are motivated by moral or group commitments). The latter inference is, however, wrong - because the former suggestion is wrong. There may be foolishness, craziness, morality, and extra-rational group identification at work for many participants in violent ethnic conflict. But these are given their field of play by the individually rational tendencies to group identification." (Hardin 1995:180)


Faced with this disagreement, we have at least three options. First, we may claim that one of the two approaches is correct. Second, we may claim that the theories are mutually compatible so that both are correct. Third, we may argue that none is correct or useful as a general theory. In the following three chapter I will discuss some arguments that fit under these three general answers with the aim of evaluating the usefulness of game and rational choice theory in the field of ethnic violence.

3. Three big rational choice explanations: Grand Theory

In this section, I want to give three examples of how one may rationally solve the collective action problem described in the introduction.

3.1. Selective incentives
In his book The Logic of Collective Action (1961/1975:51,60-64), Mancur Olson suggests that leaders may use selective incentives to make it profitable for individuals to join the group. For instance, organizations intended to protect the rights of car owners in Norway (NAF, KNA, MA and so on), often offer favourable car-rescue services, magazines, discounts on various items and so on in order to attract members. By so doing they make it profitable to join and the situation can no longer be described as a Prisoners' Dilemma.

What selective benefits can be offered in the context of ethnic conflict. Russell Hardin argues that there are two main incentives to identify with a group: "Individuals may find identification with their group beneficial because those who identify strongly may gain access to positions under the control of the group and because the group provides a relatively secure and comfortable environment." (Hardin 1995:70)

While this certainly sounds plausible, closer scrutiny reveals empirical problems. Empirically speaking the vast majority of people will usually not receive a government position or become economically much better off just because their ethnic group is in power. Hence, multiplied by the probability of gaining these positions the overall motivating force of these variables seems weak; I am not likely to be "much better off" (Hardin 1995: 217) just because my ethnic group is in power.

3.2. Reputation
In a path-breaking paper from 1982 Kreps, Milgrom Roberts and Wilson (KMRW) suggested that a small amount of uncertainty may make cooperation the rational strategy in a repeated Prisoners Dilemma game. Once again we should note that KMRW do not "solve" the Prisoners' Dilemma, but simply argue that it does not accurately describe the real world. For instance, a common feature of ethnic conflict is uncertainty about the type of players in the game: Are they just a career seekers or are they really fervent nationalists? To describe the real world we thus introduce uncertainty in a game of many rounds. This means we now have a finite and dynamic game of incomplete information, rather than a static game of complete and perfect information.

The essence of the argument is that a small amount of uncertainty (for instance that player 1 is unsure whether player 2 really is rational), can generate cooperation. I have derived the formal result in appendix 1. Informally the argument is that by defecting Player 1 convinces Player 2 that he is irrational. This, in turn, makes it profitable both for Player 1 and 2 to play trigger strategies for some rounds before it becomes more advantageous to defect. The precise result is that it is best to cooperate as long as n (the round you are in) is larger than the following expression:
n > [1/p] * [2 (a - b) + b p]
This is still too abstract to prove whether it is a true explanation of how ethnic groups overcome the free rider obstacle. For instance, the KRMW result is weakened if we need many players - not just two - to create the collective good, as typically is the case in ethnic conflict. Moreover, the analysis is empirically questionable since it predicts more defection than we would expect. For instance, if a=2, b= -1 and p=0.05 we get n > 119 i.e. defection in the last 119 rounds. Thus it can hardly be said, as one author has, that Kreps et al. show that cooperation "only breaks down in the last few rounds" (Lyons 1992: 123). 199 is far from a few rounds. In sum, while I was initially very optimistic about the idea that KRMW could give us a convincing account of how groups may form, a closer investigation weakened these beliefs.

3.3. Including and excluding beliefs and preferences
Two easy ways of making participation in ethnic violence seem rational, is by postulating that people have beliefs or preferences that make the act rational. For instance, I may believe that the opponent is about to kill me so it becomes rational to attack him. Or, I may have a strong preference in favour of violence, or - more plausible - to live in an ethnically homogeneous neighborhood. In this section, I will criticize these theories. First, I think that it is counter-intuitive to label actions based on clearly irrational belief for rational. Second, the rational choice approach becomes useless if we end up in the position that 'ethnic violence is rational because people have a preference for ethnic violence.'

Hardin admits that the beliefs that often inspire ethnic violence are "not convincing, even patently not so in the sense that it would not stand serious scrutiny ..." (Hardin 1995:62). The myths about your own group superiority, about old historical events and about your own ancestry (being of pure blood) are very often simply false. How does this affect whether we call the action based on these beliefs rational?

According to Jon Elster the following requirements should be satisfied before we have a complete rational choice explanation:

"Ideally, a fully satisfactory rational-choice explanation of an action would have the following structure. It would show that the action is the (unique) best way of satisfying the full set of the agent's desires, given the (uniquely) best beliefs the agent could form, relatively to the (uniquely determined) optimal amount of evidence. We may refer to this as the optimality part of the explanation. In addition the explanation would show that the action was caused (in the right way) by the desires and beliefs, and the beliefs caused (in the right way) by consideration of the evidence. We may refer to this as the causal part of the explanation." (Elster, 1985, p. 71)


In constrast to this consider Hardin's argument that "It would be odd, however, to conclude that the action was irrational when taken if it was fully rational given the available knowledge " (Hardin 1995:16, my emphasis). It seems like we have to make a choice; Either we demand that the collection of evidence and the construction of beliefs be rational before we call the action rational (as Elster claims) or we agree with Hardin that we are justified in labeling an action rational even if it is based on irrational beliefs.

What are the arguments in favour of each approach? In favour of Elster, I would use ask the reader to consider the following question: Would you would say it is rational to buy a house without first trying to collect some information on the quality of the house? I do not think it conforms to our intuition to label such this act rational. To use a more extreme example, a person who believes he is God may try to walk on water, but we would hardly call the action rational. Against this one may argue, as Hardin does, that to require rational construction of beliefs before we label an action rational would make "virtually everyone's actions [...] always irrational" (Hardin 1995:62).

Where does this leave us? Instead of saying that an action either is or is not rational, I think we should speak of degrees of rationality. For instance, when Hardin argues that everything becomes irrational when we demand rational beliefs, we could counter this by pointing out that his position leads to an equally absurd conclusion: that almost all actions are viewed as rational. To place no demands on beliefs makes if too easy and not very interesting to claim that an action is rational.

When faced with the problem that far more people voted than his rational choice model predicted, Downs (in)famously "solved" the paradox by assuming that people had a desire to vote (Green and Shapiro 1994:ch. 4, esp. p. 51). The explanation then reads: People vote because they enjouy voting. The rational choice approach to ethnic conflict has also tried this avenue, for instance arguing that people identify within their ethnic group because they desire to belong to groups. Also cooperation in collective action problems can be explained in this way by pointing out that people find it pleasurable to cooperate.

Not surprisingly this way of turning the irrational into something rational has been criticized. First one could argue that it amounts to a tautology, as opposed to an explanation. Second, one say that it is methodologically wrong to include non-quantifiable psychic benefits since this makes it difficult to falsify the theory.

4. Rational and Emotional as Complementary

In this section, I want to examine two possible ways in which one could say that the rational and the emotional approaches to ethnic violence do not conflict.

4.1. Multiple motivations
Some causes are mutually dependent in the sense that you need both in order to get the consequence. For instance, it is meaningless to ask whether the man or the woman was the most important "cause" of a baby. Both are needed and without one there would be no baby. In one sense it is the same with collective violence: To reach the critical level in which violence gets started on a mass scale we probably need people with many different types of motivation.

To make the idea somewhat more rigorous, imagine a population of 20% fanatic, emotional and irrational nationalists; 30% who have nationalist preferences, but who are more rational about acting upon these preferences; 20% who are driven by a norm that tells them to cooperate if a majority does so; 20% who are selfish, rational and who seek only personal monetary gains; and finally 10% who will think it is morally wrong to use violence under any circumstances. Corresponding to these different motivations one might imagine a threshold level beyond which each group will take part in violent protests. If we simplify and assume that we are facing a population of 10 individuals we may have the following threshold sequence (The following analysis is inspired by Kuran 1991, but the numbers and the motivational structure are my own):
A = {0, 0, 20, 20, 20, 50, 50, 70, 70, 101}
In this structure the different motivations interact in a way that makes violence a possible outcome. The two fanatics will start and when the three rational nationalists realize that 20% are fighting, they will join in. This brings the total participation up to 50% at which point the two conformists also will join, making the total 70% which is beyond the level required before the careerist will find it profitable to join. At 90% involvement the process will stop and assuming this is beyond the critical level required to make violence happen we now have mass scale violence.

The above example illustrate how it might be meaningless to ask whether violence is mainly driven by emotional or rational factors. Without the two emotional fanatics the spiral could not get going, but without the rational nationalists it could not get to the point where the conformists are brought into the game.

4.2. Multiple phenomena to be explained
The second sense in which the emotional and the rational approach can be complementary, is by explaining different phenomena in the causal chain leading up to violence. For instance, one may try to explain the formation of preferences and beliefs using non-rational forces, while the choice of action for given preferences may best be handled by rational choice models. Another example is to explain the actions of leaders using rational choice models, while the general population is considered to be easily manipulable by emotional and nationalistic appeals.

Once again we need to be more concrete before we can evaluate these arguments, for instance by using Yugoslavia as an example. According to one observer the events taking place in former Yugoslavia over the last 10-12 years have been the consequences of purposeful and rational strategies applied by the ruling elites threatened by changes in the economic and political structure that sustained them. (Barth Eide 1991:55).

More specifically, after the collapse of the Soviet Union, the revolutions in Eastern Europe and the failing economy in Yugoslavia, Slobodan Milosovic had to divert attention and remove political opponents in order to maintain his power. One way of doing so, is to create a situation in which it is viewed as legitimate to use extreme measures (so you can eliminate opponents. This is called securitizing the situation by Barth Eide). In this situation you also divert attention since economic difficulties is perceived as less important than the supposed danger facing the nation. How do you create this situation? According to Barth Eide it is a question of partly using information that creates a tense atmospheres, partly a question of engaging in some provocative actions such as sending Serbs into non-Serb strongholds to demonstrate and stir violence. In sum, securitizing the nation may be an instrument for achieving or enhancing the status of undisputed leader (Barth Eide 1991:53).

It should be evident that we are here facing a phenomenon that need to be explained at two levels. First, the initiation of the conflict itself can be seen as the result of rational choice by the political leaders. However, we also need to explain why their emotive appeals work so well among the population. This part of the explanation seems to involve emotions and psychology more than rational belief formation.

5. Two small rational explanations: Mechanisms

5.1. Laws vs. mechanisms
How should we approach large questions such as Why ethnic violence? Traditionally there has been two large methodological approaches to such questions in the social sciences. Either you were a grand theorists who tried to establish scientific laws that determined the relationships in general or you specialized in one case study of ethnic violence (the resulting accounts are technically known as nomothetical and ideographic). Recently, however, some social scientists have argued that it is more fruitful to focus on a third option, loosely named mechanisms (see Hedström and Swedberg 1998 for a collection of these views).

A mechanism is defined in this context as frequently occurring and easily recognizable causal patterns than are triggered under generally unknown conditions or with indeterminate consequences. (Elster 1998:45, italics removed). For instance, sour grapes is one mechanism which makes people dislike what they cannot have. Another mechanism is the grass is greener which implies that you want what you cannot have. In a particular situation we do not know which mechanism will come into effect, but ex post we are able to see which mechanism that dominated and thus explain an event by reference to the mechanism. An example could be whether a man who was forced to live in London would eventually come to think that London is the best city to live in, or whether he would develop a strong desire to live in a city he was not allowed to live in. This should convey the idea of what a mechanism is. (The source of the example is also Jon Elster).

Why should we focus on mechanisms? The basic argument is that it is practically impossible to establish deterministic laws. There is not enough information to test our grand theories and laws with sufficient statistical power. Given this imperfection, we are better off not even trying to establish the most reliable laws. The strategy with the highest payoff in terms of understanding is rather to focus on middle range theories and mechanisms. This is not the time or place to evaluate the correctness of this methodological argument. I will, however, discuss two mechanisms that have been proposed in the study of ethnic violence. The argument is that this will illustrate the usefulness of focusing on mechanisms and game theory in the study of ethnic violence.

5.2. Collapse, uncertainty and beliefs about victory
To describe one mechanism that sets the stage for ethnic violence, Laitin writes: ... at the time of (Soviet) state collapse, it is very difficult for leaders trying to rule from the decaying center, or leaders of ethnically distinct regions within the state (e.g. Estonia), to properly calculate the balance of power between the center and the region. Bad calculations on both sides (especially if they exaggerate the weakness of their adversaries) may yield the expected probabilities of victory by planners of each side to be greater than .5, a situation that might lead both parties to calculate positive returns to war (Laitin 1998:327-328).

This might be one plausible link between state collapse and ethnic violence, but closer scutiny, once again, reveals a more complicatd picture. First of all, there is a small mathematical error in the focus on 0.5 as the tipping point beyond which war is more likely. Technically speaking using a (cooperative) rational choice approach, war is most likely when the expected net gain from war is grater than the expected net gain from alternative strategies. (Where expected net gain is calculated by multiplying the probability of all the possible outcomes - positive and negative - with their respective probabilities). Depending on the payoffs and the probability distribution when using alternative strategies, and the possible asymmetry of the size of benefits and losses from winning vs. loosing, a war could be rational for all kinds of probabilities. There is no logically necessary reason why the probability for victory has to be larger than 0.5 before a war gets going.

Second, and more importantly, we could question whether the relationship is as simple as Laitin suggests. In fact, he himself uses an argument only two pages later that in my opinion relies on the directly opposite mechanism. The argument is that the conflicting signals from the Russians authorities about their support for the Russian diaspora meant that neither titulars nor Russians had sufficient surity (about Russia's probable reaction) to aggress upon the other (Laitin 1998:330). Andrei Kozyrev in The Ministry of Foreign Affairs said one thing (moderate), while the Military establishment sent hard line signals. Mixed signals in this sense also could increase the likelihood of conflict since both parties would put emphasis on the signals they wanted to hear, thus exaggerating the probability of victory. In short, in a situation of uncertainty - as Laitin himself suggests when discussing his first mechanism - war is more likely to happen. The net effect of the two opposing mechanism is uncertain and we cannot a priori tell whether uncertainy increases or reduces the probability of war.

5.3. Window of opportunity and Credible promises
When a state collapses this creates two kinds of temporary opportunities. First the population within a region may think that they temporarily have an opportunity to gain independence. However, the minority within this region may also believe that they only have a temporary possibility of fighting independence. (As soon as the new government gets consolidated it becomes too late for the new minority to realistically work for independence.) Finally, it is very difficult for the new authorities to promise the minority that as long as you agree to our independence you will be treated well. The problem is, as we know from game theory, that the promise is not credible. As soon as you have consolidated your power you can go back on the promise of minority rights since by that time you do not need their support.

Is this really important? In other words, is this how politicians think? Consider the debate about the so called zero-option in Latvia and Estonia before independence. The zero-option simply meant giving citizenship to everybody who lived in the country, including the Russophone population. The Popular Fronts in both countries endorsed this principle, and many Russians voted in favour of Estonian and Latvian independence in the referendum in the belief that they would become full citizens of these new countries. After independence, however, the political climate changed and neither Estonia nor Latvia implemented the zero option. One leader in the Popular Front who later became the leader of the Latvian Way faction in the Saeima (the parliament), Andrej Pantelejevs explained this as follows:
I will say this very candidly and somewhat cynically. Theoretically, the ethnic Latvians could have fought for their independence with honest means. That would have led to confrontations with weapons in hand. The alternative course, therefore, looked much more sensible: To penetrate with legal means the power structures which existed at that time. In order to do that we needed votes, and, as you know, at that time all inhabitants of Latvia had the right to vote. So, we fully consciously said that our goal was the so-called zero option. Yes, this was a conscious lie in order to avoid human casualties (cited in Antane and Tsilevich 1997:91).

Although this quotation does prove that politicians think strategically in a way one may analyze using game-theory, it does not create the link between the failure to make credible commitments and violence. In fact, it seems like the promise was believed by many Russians and that this contributed to the peaceful transformation to independence.

6. Conclusion

Is ethnic violence the outcome of individually rational actions and is game and rational choice theory useful in the study of ethnic conflict? The arguments that I have considered - three big rational choice theories and two small mechanisms - all had serious wekneses when examined closely. In the argument about selective incentives the author failed to calculate the size of the gains (government position) with the probability of receiveing the gains to get the expected payoff. The KMRW model turned out to underpredict empirical cooperation when we used actual numbers in the formula. The argument which excluded rationality conditions on beliefs seems counter-intuitive and the inclusion of psychic preferences creates a tautology and not an explanation.

The two smaller mechanisms did not fare much better; There is no a priori simple connection between uncertainty and the probability of violence and incredible promises appeared to be believed in Estonia and Latvia thus falsifying the game theoretic prediction.

All this, of course, do not prove that all rational choice models of ethnic violence is useless. In chapter four, I showed how rational choice models and emotional mechanisms could complement each other. Moreover, there may still be rational choice models that fare better than those I have considered. Finally, even if choice is dominated by non-rational mechanisms we may often gain more in terms of reliable understanding by focusing on the rational element. We may also derive better policy implications and predictions using the as-if rational assumption since alternative theories are often non-quantifiable and difficult to study scientifically (Melberg 1998).

In conclusion, unlike Durkheim I do not claim that my attempt to do the impossible was successful - but I do not rule out future advances.


7. Literature

Anatane, Aina and Boris Tsilevitch (1997): Nation Building and Ethnic Integration in Latvia, ch. 4 in Pål Kolstø (ed.) Nation Building and Ethnic Integration , Unpublished manuscript, University of Oslo.

Barth Eide, Espen (1997): Conflict entrepreneurship: On the art of waging civil war, PRIO Report 4: 41-69

Connor, Walker (1994): Ethnonationalism: The Quest for Understanding. New Jersey: Princeton University Press.

Cunningham, Frank (1997): Critical note on Russell Hardin, One for All: The Logic of Group Conflict, Canadian Journal of Philosophy 27:571-594.

Durkheim, Emile (1912): Le suicide : etude de sociologie . Paris: Felix Alcan. (I did not read the French text)

Elster, Jon (1985): "The nature and scope of rational-choice explanations," pp. 60-72 in Ernest LePore and Brian P. McLaughlin (eds.): Actions and Events: Perspectives on the philosophy of Donald Davidson . Oxford: Blackwell.

Elster, Jon (1998): A Plea for Mechanisms, kap. 3 in Peter Hedström and Richard Swedberg (eds.): Social Mechanisms . Cambridge: Cambridge University Press.

Fearon, James D. (1998): Paper on Ethnic violence presented at the ASN conference in New York in April.

Fearon, James D. and David D. Laitin (1996): Explaining Interethnic Cooperation, American Political Science Review 4:715-735.

Gurr, Ted Robert and Barbara Harff (1994): Ethnic Conflict in World Politics . Boulder, CO.: Westview Press.

Hardin, Russell (1995): One for All: The Logic of Group Conflict . New Jersey: Princeton University Press.

Haregreaves Heap, Shaun, Martin Hollis, Bruce Lyons, Robert Sugden, Albert Weale (1992): The Theory of Choice: A Critical Guide . Oxford: Blackwell.

Kuran, Timur (1991): Now Out of Never: The Element of Surprise in the East European Revolutions of 1989, World Politics 44:7-48.

Laitin, David (1998): Identity in Formation: The Russian-Speaking Populations in the Near Abroad . Ithaca and London: Cornell University Press (forthcoming, my quotations are based on the uncorrected proof version).

Melberg, Hans Olav (1998): Et forsvar for antagelsen om rasjonalitet, Impuls , forthcoming. See also Papers by Hans O. Melberg at Internet URL: www.oocities.org/hmelberg/papers/papers.htm (the review of Hardin on the 2nd of April 1998 and of Connor on the 10th of December 1997)

Olson, Mancur (1965/1971): The Logic of Collective Action . Cambridge Mass.: Harvard University Press.

Petersen, Roger (1997): Ethnic conflict, Social Science and William Butler Yeats: A Commentary on Russell Hardin's One for All: The Logic of group Conflict, European Journal of Sociology 28:311-323.

Shapiro, Ian and Donald P. Green (1994): Pathologies of Rational Choice Theory: A Critique of Applications in Political Science . London/New Haven: Yale University Press.

Schelling, Thomas C. (1978): Micromotives and Macrobehaviour . New York, N.Y.: W. W. Norton & Company.

Väyrynen, Tarja (1998): Ethnic Communiality and Conflict Resolution, Cooperation and Conflict 33:59-80.

Williams, Mark (1990-93), Unpublished lecturenotes, Oxford University.

8. Appendicies


8.1. Appendix 1: The formal solution of the KRMW model

Consider the following formal argument. In the game already described in figure 2 (but now repeated and with uncertainty), Player 2 believes with probability p that Player 1 is irrational. Being irrational is here defined as using a trigger strategy i.e. to play whatever strategy your opponent played in the last round (if he defected you defect in the next round and so on). Knowing that Player 2 is uncertain about Player 1's type, Player 1 faces the following choice:
a) Defect (thereby revealing that he is rational)
b) Use a tit-for-tat strategy, starting by cooperating (essentially this is to pretend that he is irrational)

To find the condition for choosing the trigger strategy, one could reason as follows. The expected payoff for Player 2 if he plays trigger (starting to cooperate) is:

E P2 (trigger) = p n + (1 - p) b

In plain words: Player 2 gets 1 with probability p in n rounds if Player 1 is irrational (they will simply get 1 in each round), but he also risks (with probability 1 - p) getting b if Player 1 really is rational and plays D in the first round.

The question is then whether Player 1 should defect or play trigger (and cooperate in the first round). To answer this I reason as follows. Player 1 will at least get the same as Player 2 by pretending to be rational. However, Player 1 can exploit the fact that he knows that he really is rational. So while pretending to be irrational (playing trigger) Player 1 can, if it is profitable, switch to the rational strategy of defecting. More formally we have the following relationship:

E P1 + a > E P2 + b

Player 1 can always get a instead of 1 by switching to "defect" after cooperating some time. This switching, in turn, means that Player 2 wille receive b in that round (which is a negative payoff). Hence, Player 1 will always get b - a more than Player 2 when they both play trigger strategies. This implies that:

E P1 > E P2 + (b - a) or (by substitution):

E P1 > p n + (1 - p) b + (b - a)

Having worked out the payoff from the trigger strategy, we may then compare this to the playoff from the strategy of defecting. The highest possible payoff from defecting is a. So a sufficient condition for the profitability of playing trigger instead of defecting is:

p n + (1 - p) b + (b - a) > a

Solving this we find:

n > [1/p] * [2 (a - b) + b p]

8.2. Appendix 2: A critical note on the logic behind the KRMW results using the Chain Store Paradox as an example

I would question the reasoning behind the KRMW solution. If it is rational to pretend to be irrational, surely the other player will recognize that Player 1 is probably only pretending. If Player 2 realizes this, he will try to defect one period earlier than Player 1's critical number. But then Player 1 should realize that Player 2 is not fooled by his faking and defect one period before this and so on until we get defection in the first period again. Now, KRMW claims to have solved this problem using Bayes rule. Player 2, they argue, know that Player 1 is probably faking being irrational, but still there is a slight chance that he really is irrational and the fact that he plays "Cooperate" reinforces Player 2's belief that Player 1 is irrational. After observing an irrational action Player 1 updates his belief on the probability of Player 1 being irrational according to Bayes rule. It is this step which I find problematic: Being rational I do not increase my belief that you are irrational when you do something that in fact is in your best interests.

To avoid vague words and confusion we may use the Chain Store Paradox as a formal example (the analysis is originally grom Kreps and Wilson, but my presentation is based on lectures by Mark Williams (Jesus College, Oxford University) though adapted for the present purpose). In brief, the situation is as follows: An enemy does not know whether you are tough (T) or rational (R). Tough agents always fight when faced with an opponent; P (F | T) = 1, rational agents only fight when it is profitable, say P (R | F) = x where 0<x<1. Assume that the probability that you meet a tough opponent is d i.e. P (T) = d, and the probability of meeting a rational opponent then becomes P(R) = 1 - d. The question is now, how should the fact that you observe a firm fighting affect your belief that it is tough - i.e. we want P(T | F). The "rational" answer is given by Bayes formula:

In general: P(A | B) = P (AB) / P(B)

In our situation this can be expanded to:

P(T | F) = [P(F | T) P(T)] / [P(F |T) P(T) + P(F | R) P(R)]

Inserting the information we have we get:
P(T | F) = d / [d + (1 - d) x]
Now ask yourself about the probability that this player is tough if you observe him fighting even one more time. The answer is given by starting from the updated probability that the player is tough (after fighting we have P(T) = d / [d + (1 - d) x] for our player) and inserting this into Bayes formula. We get:
P(T | F2) = d / [d + (1 - d) x2]
Or, in general:

P(T | Fn) = d / [d + (1 - d) xn]

The conclusion from the last general formula is that a little bit of fighting greatly increases your reputation for being tough (since the relationship is non-linear). My point, however, is that the act of fighting cannot be viewed as a sign of irrationality when the other agent also knows that a little bit of fighting would increase your reputation for being tough and hence be in your interst. This problem opens up a web of complications that are yet to be solved.

8.3. Appendix 3: Policy implications and the future

(After writing this sub-chapter, I decided that it was not relevant for my main argument. This is why it is placed in an appendix).

In his book Micromotives and Macrobehaviour (1978), Thomas Schelling gives a wonderful example which for some time motivated me to think about ethnic violence. He describes how he always ended up sitting next to people like himself (skin colour, accents, income, dress) when he went to a baseball game (Schelling 1978:40). Somehow people were segregated although they never expressed a wish to be so. The reason, he learned later, was that each ticket agent got a block of tickets with seats next to each other. This is surely a practical arrangement since many people want to buy two tickets to sit next to their friend when they watched the game. Yet it also ensured that people from the same neighbourhood who bought tickets from the same place sat together. To me the story suggested that segregation could come about unintentionally and that that it could be solved quite easily. One could simply give the ticket offices a batch of random seats tickets, not a block of seats next to each other.

As I read more about ethnic violence, my initial hope of discovering equally simple and easy solutions evaporated. Indeed, I came to realize that even the above solution could have the effect of increasing ethnic tension. For instance, Walker Connor convincingly describes how increased interaction between different groups may in fact increase tension. Moreover, as I discovered the middle range approach - the mechanisms - my hope of discovering some useful and non-obvious policy prescriptions suffered another blow. Doing research on mechanisms allows you to explain ex post, but it does not enable you to predict. As already mentioned we do not know in advance whether a man put in London will start to like London or whether he will hate it. Since the variables are connected with so many and contradictory links, it may seem impossible to give reliable policy presriptions or predictions about the future.

With the above doubts about the very weak realibility of predictions in the background, I will discuss some of the advice presented in the litterature.

In Hardins account groups could form because, amongs other reasons, the leaders could promise government positions and favourable policies. Accordingly one way of reducing the atractiveness of being active in ethnic groups, would be to reduce the role of government. As Hardin writes: not the least among the reasons to prefer smaller government, is to reduce the value of getting control of it (Hardin 1995:217). Another way of achieving the same thing, is to increase the possibilities for ecnomic growth in the private sector. Economic growth would both reduce the need for leaders to rely on nationalism and conflict to maintain power, as well as making people less disposed to nationalistic appeals. Finally, Hardin seems to predict that urbanization reduced the potential for ethnic conflict since it reduces the ignorance that he believes constitute a precondition for ethnic violence.

Laitins proposals, in contrast to Hardin, are more instututional and in some ways increases the power of the central government. He has at least four concrete suggestions (Laitin 1998:344-345). First, the career prospect for elites must be such that it is more profitable to stay within the country than to press for independence (Laitin 1998:344). Second, there should be bureaucratic hurdles which makes it difficult to seccede as well as making it profitable to stay within the country. For instance there could be a transferpayment system that increases your share the more people you have in your group. Third, one must protect those who do not want to identify with a particular group from ethnic vigilantes i.e. self-appointed people who punish those who are not natiuonalistic enough. Fourt and finally, it is important to have a well paied and rotating police force that can stop vigilante terror, as well as giving the vigilantes the option of being reintegrated into society (so he is not forced to be a vigilante foreover).

Those believing that the the ethnic bond is subconscious and emotional, tend to argue that the best policy to prevent violence is the Wilsonian principle of national self-determinantion. If all groups had their own state, the argument goes, ethnic violence would be greatly reduced. Laitin attacks this argument for implicitly assuming that the number of nations or ethnic groups is constant. Without this assumption the process might never end (there is always a minority within the minority), and besides it is impossible to create ethnically pure states in areas where the population is geographically mixed.


 

[Note for bibliographic reference: Melberg, Hans O. (1998), Is ethnic conflict the outcome of individually rational actions?, www.oocities.org/hmelberg/papers/980522.htm]