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Bertrand and Walras Equilibria Under Moral Hazard

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  • Bennardo, Alberto
  • Chiappori, Pierre-André

Abstract

We consider a simple model of competition under moral hazard with constant return technologies. We consider preferences that are not separable in effort: marginal utility of income is assumed to increase with leisure, especially for high-income levels. We show that, in this context, Bertrand competition may result in positive equilibrium profit. This result holds for purely idiosyncratic shocks when only deterministic contracts are considered, and extends to unrestricted contract spaces in the presence of aggregate uncertainty. Finally, these findings have important consequences upon the definition of an equilibrium. We show that, in this context, a Walrasian general equilibrium a la Prescott-Townsend may fail to exist: any 'equilibrium' must involve rationing.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3650.

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Date of creation: Nov 2002
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Handle: RePEc:cpr:ceprdp:3650

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Keywords: competition; moral hazard; rationing;

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References

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  1. Richard Arnott & Joseph Stiglitz, 1993. "Price Equilibrium, Efficiency, And Decentralizability In Insurance Markets With Moral Hazard," Boston College Working Papers in Economics 254, Boston College Department of Economics.
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  7. Malcomson, James M, 1984. "Work Incentives, Hierarchy, and Internal Labor Markets," Journal of Political Economy, University of Chicago Press, vol. 92(3), pages 486-507, June.
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  9. Richard J. Arnott & Joseph E. Stiglitz, 1988. "Randomization with Asymmetric Information," NBER Working Papers 2507, National Bureau of Economic Research, Inc.
  10. Alberto Bisin & Danilo Guaitoli, 1998. "Moral hazard and non-exclusive contracts," Economics Working Papers 345, Department of Economics and Business, Universitat Pompeu Fabra.
  11. Sanford J Grossman & Oliver D Hart, 2001. "An Analysis of the Principal-Agent Problem," Levine's Working Paper Archive 391749000000000339, David K. Levine.
  12. Dreze, Jacques H, 1975. "Existence of an Exchange Equilibrium under Price Rigidities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 301-20, June.
  13. Bester, Helmut, 1985. "Screening vs. Rationing in Credit Markets with Imperfect Information," American Economic Review, American Economic Association, vol. 75(4), pages 850-55, September.
  14. Edward Simpson Prescott & Robert M. Townsend, 1996. "Theory of the firm: applied mechanism design," Working Paper 96-02, Federal Reserve Bank of Richmond.
  15. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
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Citations

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Cited by:
  1. Jerez, Belen, 2003. "A dual characterization of incentive efficiency," Journal of Economic Theory, Elsevier, vol. 112(1), pages 1-34, September.
  2. Alberto Bisin & Piero Gottardi & Adriano A. Rampini, 2004. "Managerial Hedging and Portfolio Monitoring," CESifo Working Paper Series 1322, CESifo Group Munich.
  3. Alger, Ingela & Weibull, Jörgen, 2007. "Family ties, incentives and development: a model of coerced altruism," Working Paper Series in Economics and Finance 681, Stockholm School of Economics.
  4. Calcagno, Riccardo & Wagner, Wolf, 2006. "Dispersed initial ownership and the efficiency of the stock market under moral hazard," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 36-45, February.
  5. Kilenthong, Weerachart & Townsend, Robert, 2010. "Information-Constrained Optima with Retrading: An Externality and Its Market-Based Solution," MPRA Paper 20725, University Library of Munich, Germany.
  6. Belén Jerez, 2003. "Incentive Compatibility And Pricing Under Moral Hazard," Economics Working Papers we035722, Universidad Carlos III, Departamento de Economía.
  7. Joon Song, 2008. "Perks: Contractual Arrangements to Restrain Moral Hazard," Economics Discussion Papers 650, University of Essex, Department of Economics.
  8. Hector Chade & Edward Schlee, 2008. "Optimal Insurance with Adverse Selection," Levine's Working Paper Archive 122247000000002175, David K. Levine.
  9. Alberto Bisin & Piero Gottardi, 2005. "Efficient Competitive Equilibria with Adverse Selection," CESifo Working Paper Series 1504, CESifo Group Munich.
  10. Martine Quinzii & Michael Magill, 1900. "Normative Properties Of Stock Market Equilibrium With Moral Hazard," Working Papers 82, University of California, Davis, Department of Economics.
  11. J. H. Abbring & P.-A. Chiappori & J. J. Heckman & J. Pinquet, 2002. "Testing for Moral Hazard on Dynamic Insurance Data," THEMA Working Papers 2002-24, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  12. Hellwig, Martin F., 2005. "Nonlinear incentive provision in Walrasian markets: a Cournot convergence approach," Journal of Economic Theory, Elsevier, vol. 120(1), pages 1-38, January.
  13. Bennardo, Alberto & Piccolo, Salvatore, 2005. "Competitive Markets with Endogenous Health Risks," CEPR Discussion Papers 5385, C.E.P.R. Discussion Papers.

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