Abstract
Inspection games are 2x2 games in which one playermust decide whether to inspect the other player, who in turnmust decide whether to infringe a norm or a regulation.Inspection games have a single, mixed strategy Nashequilibrium, which has counter-intuitive comparative staticsproperties. This result has been used by Tsebelis (1989) andHoller (1992) to show that the economic approach to lawenforcement is not likely to generate clear-cut predictions.In this paper I discuss a variant of the inspection game inwhich the inspector can act as a Stackelberg leader. I willalso show that this version of the inspection game hascounter-intuitive comparative statics properties. Inparticular, increasing inspector’s incentives to enforce thelaw increases the frequency of law infractions.
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References
Beccaria, C. (1767). On crimes and punishments, and other writings. In R. Bellamy (Ed.). Cambridge, MA: Cambridge University Press, 1995.
Becker, G.S. (1968). Crime and punishment: An economic approach. Journal of Political Economy 76: 169–217.
Bentham, J. (1789) An introduction to the principles of morals and legislation. Anchor Books 1973.
Bianco, W.T., Ordeshook, P.C. and Tsebelis, G. (1990). Crime and punishment: Are one-shot, two person games enough? American Political Science Review 84: 569–586.
Cheng, L.K. and Zhu, M. (1995). Mixed-strategy Nash equilibrium based upon expected utility and quadratic utility. Games and Economic Behavior 9: 139–150.
Cox, G. (1994). A note on crime and punishment. Public Choice 78: 115–124.
Fudenberg, D. (1992). Explaining cooperation and commitment in repeated games. In J.J. Laffont (Ed.), Advances in economic theory. Cambridge: Cambridge University Press.
Fudenberg, D. and Levine, D.K. (1989). Reputation and equilibrium selection in games with a patient player. Econometrica 57: 759–778.
Fudenberg, D. and Levine, D.K. (1992). Maintaining reputation when strategies are imperfectly observed. Review of Economic Studies 59: 561–579.
Garoupa, N. (1997). The theory of optimal law enforcement. Journal of Economic Surveys 11: 267–295.
Hirshleifer, J. and Rasmussen, E. (1992). Are equilibrium strategies unaffected by incentives? Journal of Theoretical Politics 4: 353–367.
Holler, M.J. (1992). Fighting pollution when decisions are strategic. Public Choice 76: 347–356.
Polinsky, A.M. and Shavell, S. (2000). The economic theory of public enforcement of law. Journal of Economic Literature 38: 45–76.
Tsebelis, G. (1989). The abuse of probability in political analysis: The Robinson Crusoe fallacy. American Political Science Review 83: 77–91.
Tsebelis, G. (1990a). Are sanctions effective? A game theoretic analysis. Journal of Conflict Resolution 34: 3–28.
Tsebelis, G. (1990b). Penalty has no impact on crime: A game theoretic analysis. Rationality and Society 2: 255–286.
Wittman, D. (1985). Counter-intuitive results in game theory. European Journal of Political Economy 1: 77–89.
Wittman, D. (1993). Nash equilibrium vs. maximin: A comparative static analysis. European Journal of Political Economy 9: 559–565.
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Andreozzi, L. Rewarding Policemen Increases Crime. Another Surprising Result from the Inspection Game. Public Choice 121, 69–82 (2004). https://doi.org/10.1007/s11127-004-6166-x
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DOI: https://doi.org/10.1007/s11127-004-6166-x