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Optimal Audit Policies with Correlated Types

Author

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  • M. Martin Boyer

    (Ecole de Hautes-Etudes Commerciales)

  • Patrick Gonzalez

    (Universite Laval)

Abstract

We propose a multi-agents adverse selection version of Townsend's (1979) model of costly audits where the agents' types are correlated. Audits are used because agents have a limited ability to bear risk so that the Full Surplus Extraction (FSE) scheme a la Cremer and McLean (1985,1988) and McAfee and Reny (1992) would be suboptimal here. It is shown that Townsend's result of an optimal marginal arbitrage between rent extraction and efficiency does not hold in the case of perfect correlation: FSE is feasible -- even in dominant strategies -- by devising a contract that put the agents in a prisoner's dilemma. A numerical simulation of the model is performed which suggests that the single agent model is not a good approximation of the multi-agents case.

Suggested Citation

  • M. Martin Boyer & Patrick Gonzalez, 2000. "Optimal Audit Policies with Correlated Types," Econometric Society World Congress 2000 Contributed Papers 1514, Econometric Society.
  • Handle: RePEc:ecm:wc2000:1514
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    References listed on IDEAS

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    1. Dominique M. Demougin & Devon A. Garvie, 1991. "Contractual Design with Correlated Information under Limited Liability," RAND Journal of Economics, The RAND Corporation, vol. 22(4), pages 477-489, Winter.
    2. M. Boyer, 2003. "Contracting under ex post moral hazard and non-commitment," Review of Economic Design, Springer;Society for Economic Design, pages 1-38.
    3. Brusco, Sandro, 1998. "Unique Implementation of the Full Surplus Extraction Outcome in Auctions with Correlated Types," Journal of Economic Theory, Elsevier, vol. 80(2), pages 185-200, June.
    4. Dilip Mookherjee & Ivan Png, 1989. "Optimal Auditing, Insurance, and Redistribution," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 399-415.
    5. Graetz, Michael J & Reinganum, Jennifer F & Wilde, Louis L, 1986. "The Tax Compliance Game: Toward an Interactive Theory of Law Enforcement," Journal of Law, Economics, and Organization, Oxford University Press, vol. 2(1), pages 1-32, Spring.
    6. Picard, Pierre, 1996. "Auditing claims in the insurance market with fraud: The credibility issue," Journal of Public Economics, Elsevier, vol. 63(1), pages 27-56, December.
    7. Robert, Jacques, 1991. "Continuity in auction design," Journal of Economic Theory, Elsevier, vol. 55(1), pages 169-179, October.
    8. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    9. Stefan Krasa & Anne P. Villamil, 2000. "Optimal Contracts when Enforcement Is a Decision Variable," Econometrica, Econometric Society, vol. 68(1), pages 119-134, January.
    10. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    11. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    12. Aoyagi, Masaki, 1998. "Correlated Types and Bayesian Incentive Compatible Mechanisms with Budget Balance," Journal of Economic Theory, Elsevier, vol. 79(1), pages 142-151, March.
    13. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," Review of Economic Studies, Oxford University Press, vol. 52(4), pages 647-663.
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    Cited by:

    1. M. Martin Boyer & Patrick González, 2001. "Compensation and Auditing with Correlated Information," CIRANO Working Papers 2001s-59, CIRANO.
    2. M. Martin Boyer, 2004. "On the Use of Hierarchies to Complete Contracts when Players Have Limited Abilities," CIRANO Working Papers 2004s-41, CIRANO.

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