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Bertrand and Walras Equilibria Under Moral Hazard

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  • Alberto Bennardo
  • Pierre-Andre Chiappori

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 on the definition of an equilibrium. We show that, in this context, a Walrasian general equilibrium � la Prescott-Townsend may fail to exist: any "equilibrium" must involve rationing.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 618897000000000748.

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Date of creation: 30 Apr 2003
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Handle: RePEc:cla:levarc:618897000000000748

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  12. Douglas Gale, 1994. "Equilibria and Pareto Optima of Markets with Adverse Selection," Papers 0046, Boston University - Industry Studies Programme.
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Cited by:
  1. Schlee, Edward & Chade, Hector, 2012. "Optimal insurance with adverse selection," Theoretical Economics, Econometric Society, vol. 7(3), September.
  2. Jerez, Belen, 2003. "A dual characterization of incentive efficiency," Journal of Economic Theory, Elsevier, vol. 112(1), pages 1-34, September.
  3. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
  4. Joon Song, 2008. "Perks: Contractual Arrangements to Restrain Moral Hazard," Economics Discussion Papers 650, University of Essex, Department of Economics.
  5. 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.
  6. Alberto Bisin & Piero Gottardi, 2006. "Efficient Competitive Equilibria with Adverse Selection," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 485-516, June.
  7. Martin Hellwig, 2004. "Nonlinear Incentive Provision in Walrasian Markets: A Cournot Convergence Approach," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2004_8, Max Planck Institute for Research on Collective Goods.
  8. Bennardo, Alberto & Piccolo, Salvatore, 2005. "Competitive Markets with Endogenous Health Risks," CEPR Discussion Papers 5385, C.E.P.R. Discussion Papers.
  9. 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.
  10. Piero Gottardi & Alberto Bisin & Adriano Rampini, 2007. "Managerial Hedging and Portfolio Monitoring," Working Papers 2007_24, Department of Economics, University of Venice "Ca' Foscari".
  11. Kilenthong, Weerachart T. & Townsend, Robert M., 2011. "Information-constrained optima with retrading: An externality and its market-based solution," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1042-1077, May.
  12. Belén Jerez, 2003. "Incentive Compatibility And Pricing Under Moral Hazard," Economics Working Papers we035722, Universidad Carlos III, Departamento de Economía.
  13. Stéphane Gauthier & Guy Laroque, 2014. "On the value of randomization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00969344, HAL.
  14. 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.

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