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Nonlinear Incentive Provision in Walrasian Markets: A Cournot Convergence Approach

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  • Martin Hellwig

    () (Max Planck Institute for Research on Collective Goods, Bonn, Germany)

Abstract

The paper studies insurance with moral hazard in a system of contingent-claims markets. Insurance buyers are modelled as Cournot monopolists or oligopolists. The other agents condition their expectations on market prices, as in models of rational-expectations equilibrium with asymmetric information. Thereby they correctly anticipate accident probabilities corresponding to effort incentives induced by insurance buyers’ net trades. When there are many agents to share the insurance buyer’s risk, Cournot equilibrium outcomes are close to being second-best. In contrast, if insurance buyers are price takers, equilibria fail to exist or are bounded away from being second-best.

Suggested Citation

  • Martin Hellwig, 2004. "Nonlinear Incentive Provision in Walrasian Markets: A Cournot Convergence Approach," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2004_8, Max Planck Institute for Research on Collective Goods.
  • Handle: RePEc:mpg:wpaper:2004_08
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    References listed on IDEAS

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    1. Marcos B. Lisboa, 2001. "Moral hazard and general equilibrium in large economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 555-575.
    2. Alberto Bennardo & Pierre-Andre Chiappori, 2003. "Bertrand and Walras Equilibria under Moral Hazard," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 785-817, August.
    3. Admati, Anat R & Pfleiderer, Paul & Zechner, Josef, 1994. "Large Shareholder Activism, Risk Sharing, and Financial Market Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1097-1130, December.
    4. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
    5. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    6. Alberto Bisin & Danilo Guaitoli, 2004. "Moral Hazard and Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(2), pages 306-328, Summer.
    7. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Oxford University Press, vol. 56(3), pages 317-355.
    8. Malinvaud, E., 1972. "The allocation of individual risks in large markets," Journal of Economic Theory, Elsevier, vol. 4(2), pages 312-328, April.
    9. Roberts, Kevin, 1980. "The limit points of monopolistic competition," Journal of Economic Theory, Elsevier, vol. 22(2), pages 256-278, April.
    10. Ostroy, Joseph M., 1980. "The no-surplus condition as a characterization of perfectly competitive equilibrium," Journal of Economic Theory, Elsevier, vol. 22(2), pages 183-207, April.
    11. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
    12. Helpman, Elhanan & Laffont, Jean-Jacques, 1975. "On moral hazard in general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 10(1), pages 8-23, February.
    13. Sanford J. Grossman, 1981. "An Introduction to the Theory of Rational Expectations Under Asymmetric Information," Review of Economic Studies, Oxford University Press, vol. 48(4), pages 541-559.
    14. Steven Shavell, 1979. "On Moral Hazard and Insurance," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 541-562.
    15. Hellwig, Martin, 2000. "Nonlinear Incentive Contracting in Walrasian Markets: A Cournot Approach," Sonderforschungsbereich 504 Publications 00-42, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    16. Roberts, John & Sonnenschein, Hugo, 1977. "On the Foundations of the Theory of Monopolistic Competition," Econometrica, Econometric Society, vol. 45(1), pages 101-113, January.
    17. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    18. Arnott, Richard J & Stiglitz, Joseph E, 1988. " The Basic Analytics of Moral Hazard," Scandinavian Journal of Economics, Wiley Blackwell, vol. 90(3), pages 383-413.
    19. Makowski, Louis, 1980. "Perfect competition, the profit criterion, and the organization of economic activity," Journal of Economic Theory, Elsevier, vol. 22(2), pages 222-242, April.
    20. Jaynes, Gerald David, 1978. "Equilibria in monopolistically competitive insurance markets," Journal of Economic Theory, Elsevier, vol. 19(2), pages 394-422, December.
    21. Marshall, John M, 1976. "Moral Hazard," American Economic Review, American Economic Association, vol. 66(5), pages 880-890, December.
    22. Arrow, Kenneth J & Lind, Robert C, 1970. "Uncertainty and the Evaluation of Public Investment Decisions," American Economic Review, American Economic Association, vol. 60(3), pages 364-378, June.
    23. Kocherlakota, Narayana R., 1998. "The effects of moral hazard on asset prices when financial markets are complete," Journal of Monetary Economics, Elsevier, vol. 41(1), pages 39-56, February.
    24. Mark V. Pauly, 1974. "Overinsurance and Public Provision of Insurance: The Roles of Moral Hazard and Adverse Selection," The Quarterly Journal of Economics, Oxford University Press, vol. 88(1), pages 44-62.
    25. Sanford J. Grossman, 1977. "The Existence of Futures Markets, Noisy Rational Expectations and Informational Externalities," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 431-449.
    26. Oliver D. Hart, 1979. "Monopolistic Competition in a Large Economy with Differentiated Commodities," Review of Economic Studies, Oxford University Press, vol. 46(1), pages 1-30.
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    More about this item

    Keywords

    Insurance; Moral Hazard; Incentive Contracting; Walrasian Markets; Rational-Expectations; Cournot Equilibrium;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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