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Bayesian Monitoring


  • Kirstein, Roland


This paper presents a modification of the inspection game: The ?Bayesian Monitoring? model rests on the assumption that judges are interested in enforcing compliant behavior and making correct decisions. They may base their judgements on an informative but imperfect signal which can be generated costlessly. In the original inspection game, monitoring is costly and generates a perfectly informative signal. While the inspection game has only one mixed strategy equilibrium, three Perfect Bayesian Equilibria exist in my model (one in pure strategies, two in mixed). These outcomes can be described with respect to their punishment styles: tyrannic, draconian, and lenient. The Bayesian Monitoring model, just as the inspection game, has different implications than enforcement models in the tradition of Becker (1968). Total deterrence of bad behavior is impossible, and the equilibrium probability of good behavior is independent of the suspect?s own payoff parameters. Hence, the maximum fine result does not apply.

Suggested Citation

  • Kirstein, Roland, 2005. "Bayesian Monitoring," CSLE Discussion Paper Series 2005-06, Saarland University, CSLE - Center for the Study of Law and Economics.
  • Handle: RePEc:zbw:csledp:200506

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    References listed on IDEAS

    1. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters,in: Essays in the Economics of Crime and Punishment, pages 1-54 National Bureau of Economic Research, Inc.
    2. Wittman, Donald, 1985. "Counter-intuitive results in game theory," European Journal of Political Economy, Elsevier, vol. 1(1), pages 77-89.
    3. Reinganum, Jennifer F. & Wilde, Louis L., 1985. "Income tax compliance in a principal-agent framework," Journal of Public Economics, Elsevier, vol. 26(1), pages 1-18, February.
    4. repec:cup:apsrev:v:92:y:1998:i:01:p:23-35_20 is not listed on IDEAS
    5. Hadfield, Gillian K, 1994. "Judicial Competence and the Interpretation of Incomplete Contracts," The Journal of Legal Studies, University of Chicago Press, vol. 23(1), pages 159-184, January.
    6. Jost, Peter-J., 1997. "Regulatory enforcement in the presence of a court system," International Review of Law and Economics, Elsevier, vol. 17(4), pages 491-508, December.
    7. Baliga, Sandeep & Corchon, Luis C. & Sjostrom, Tomas, 1997. "The Theory of Implementation When the Planner Is a Player," Journal of Economic Theory, Elsevier, vol. 77(1), pages 15-33, November.
    8. Kirstein, Roland & Schmidtchen, Dieter, 1997. "Judicial detection skill and contractual compliance," International Review of Law and Economics, Elsevier, vol. 17(4), pages 509-520, December.
    9. Reinganum, Jennifer F & Wilde, Louis L, 1986. "Equilibrium Verification and Reporting Policies in a Model of Tax Compliance," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(3), pages 739-760, October.
    10. Matthew Baker & Thomas Miceli, 2005. "Credible Criminal Enforcement," European Journal of Law and Economics, Springer, vol. 20(1), pages 5-15, July.
    11. Wittman, Donald, 1993. "Nash equilibrium vs. maximin : A comparative game statics analysis," European Journal of Political Economy, Elsevier, vol. 9(4), pages 559-565, November.
    12. Antoine Faure-Grimaud & Jean-Jacques Laffont & David Martimort, 2003. "Collusion, Delegation and Supervision with Soft Information," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 253-279.
    13. Luciano Andreozzi, 2004. "Rewarding Policemen Increases Crime. Another Surprising Result from the Inspection Game," Public Choice, Springer, vol. 121(1), pages 69-82, October.
    14. repec:cup:apsrev:v:83:y:1989:i:01:p:77-91_08 is not listed on IDEAS
    15. repec:cup:apsrev:v:84:y:1990:i:02:p:569-586_19 is not listed on IDEAS
    16. Anderson, Gary M & Shughart, William F, II & Tollison, Robert D, 1989. "On the Incentives of Judges to Enforce Legislative Wealth Transfers," Journal of Law and Economics, University of Chicago Press, vol. 32(1), pages 215-228, April.
    17. Murat Usman, 2002. "Verifiability and Contract Enforcement: A Model with Judicial Moral Hazard," Journal of Law, Economics, and Organization, Oxford University Press, vol. 18(1), pages 67-94, April.
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    More about this item


    Imperfect Decision-Making; Perfect Bayesian Equilibrium; Enforcement; Maximum Fine Result;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • K40 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - General


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