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The Abuse of Probability in Political Analysis: The Robinson Crusoe Fallacy

  • George Tsebelis (a1)
Abstract

The decision to stay at home when you have no umbrella and rain is probable is an appropriate problem for decision theory. The decision to speed when you are in a hurry and the police might be patrolling is a game against a rational opponent. Treating the latter like a problem for decision theory is what I call the Robinson Crusoe fallacy. It is quite common and leads to incorrect conclusions. If the game has no pure strategy equilibrium, changes in the payoffs to a player affect not that player's strategy but the strategy of the opponent in equilibrium. For example, modifying the size of the penalty does not affect the frequency of crime commitment at equilibrium, but rather the frequency of law enforcement. I provide examples of this fallacy in regulation, international economic sanctions, and organization theory and argue that it stems from inappropriate use of the concept of probability.

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Aberbach, Joel D. 1987. “The Congressional Committee Intelligence System: Information, Oversight, and Change.” Congress and the Presidency 14:5176.
Becker, Gary S. 1968. “Crime and Punishment: An Economic Approach.” Journal of Political Economy 76:169217.
Bunge, Mario. 1979. Causality and Modern Science. 3d ed. New York: Dover.
Damme, Eric C. van. 1983. Refinements of the Nash Equilibrium Concept. New York: Springer-Verlag.
Eells, Ellery. 1982. Rational Decision and Causality. New York: Cambridge University Press.
Ehrlich, Isaac. 1973. “Participation in Illegitimate Activities: A Theoretical and Empirical Investigation.” Journal of Political Economy 81:521–64.
Ehrlich, Isaac, and Brower, George D.. 1987. “On the Issue of Causality in the Economic Model of Crime and Law Enforcement: Some Theoretical Considerations and Experimental Evidence.” American Economic Review 77:99106.
Elster, Jon. 1983. Explaining Technical Change. New York: Cambridge University Press.
Elster, Jon. 1985. Making Sense of Marx. New York: Cambridge University Press.
Harsanyi, John C. 1973. “Games with Randomly Disturbed Payoffs: A New Rationale for Mixed-Strategy Equilibrium Points.” International Journal of Game Theory 2:123.
Hempel, Carl G. 1965. Aspects of Scientific Explanation and Other Essays in the Philosophy of Science. New York: Free Press.
Hufbauer, Gary C., and Schott, Jeffrey J.. 1985. Economic Sanctions Reconsidered. Washington: Institute for International Economics.
Kohlberg, Elon, and Mertens, Jean-Francois. 1986. “On the Strategic Stability of Equilibria.” Econometrica 54:1003–37.
Kreps, David M., and Wilson, Robert. 1982. “Sequential Equilibria.” Econometrica 50:863–94.
Luce, Robert Duncan, and Raiffa, Howard. 1957. Games and Decisions. New York: John Wiley & Sons.
McCubbins, Mathew D., and Schwartz, Thomas. 1984. “Congressional Oversight Overlooked: Police Patrols and Fire Alarms.” American Journal of Political Science 28:165–79.
Moulin, Herve. 1981. Game Theory for the Social Sciences. New York: New York University Press.
Myerson, Roger B. 1978. “Refinements of the Nash Equilibrium Concept.” International Journal of Game Theory 7:7380.
Nash, John F. Jr., 1951. “Noncooperative Games.” Annals of Mathematics 54:289–95.
Nagin, Daniel. 1978. “General Deterrence: A Review of the Empirical Evidence.” Deterrence and Incapacitation, ed. Blumstein, Alfred, Cohen, Jacqueline, and Nagin, Daniel. Washington: National Academy of Sciences.
Olson, Richard S. 1979. “Economic Coercion in World Politics.” World Politics 31:471–94.
Ordeshook, Peter C. 1986. Game Theory and Political Theory. New York: Cambridge University Press.
Popper, Karl R. 1965. Conjectures and Refutations: The Growth of Scientific Knowledge. New York: Harper & Row.
Savage, Leonard. 1954. The Foundations of Statistics. New York: Dover.
Selten, Reinhard. 1975. “Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games.” International Journal of Game Theory 4:2555.
Stigler, George J. 1970. “The Optimum Enforcement of Laws.” Journal of Political Economy 78: 526–36.
Stinchcombe, Arthur. 1968. Constructing Social Theories. New York: Harcourt, Brace & World.
Tittle, Charles R. 1983. “Social Class and Criminal Behavior: A Critique of the Theoretical Foundation.” Social Forces 62:334–58.
Trockel, Walter. 1986. “The Chain-Store Paradox Revisited.” Theory and Decision 21:163–79.
Tsebelis, George. 1987a. “Penalty Has No Impact on Crime: A Game-theoretic Analysis.” International Political Economy Working Paper no. 23. Duke University.
Tsebelis, George. 1987b. “The Impact of Fines on Regulated Industries: Game Theory vs. Decision Theory.” International Political Economy Working Paper no. 25. Duke University.
Tsebelis, George. 1987c. “Are Sanctions Effective? A Game-theoretic Analysis.” International Political Economy Working Paper no. 24. Duke University.
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American Political Science Review
  • ISSN: 0003-0554
  • EISSN: 1537-5943
  • URL: /core/journals/american-political-science-review
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