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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 à la Prescott-Townsend may fail to exist: any "equilibrium" must involve rationing.

Suggested Citation

  • 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.
  • Handle: RePEc:ucp:jpolec:v:111:y:2003:i:4:p:785-817
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    Cited by:

    1. 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.
    2. Alberto Bennardo & Salvatore Piccolo, 2014. "Competitive Markets With Endogenous Health Risks," Journal of the European Economic Association, European Economic Association, vol. 12(3), pages 755-790, June.
    3. Ingela Alger & Jörgen W. Weibull, 2007. "Family ties, incentives and development: A model of coerced altruism," Carleton Economic Papers 07-10, Carleton University, Department of Economics, revised 2008.
    4. David Rahman, 2012. "But Who Will Monitor the Monitor?," American Economic Review, American Economic Association, vol. 102(6), pages 2767-2797, October.
    5. Alberto Bisin & Piero Gottardi & Adriano A. Rampini, 2008. "Managerial Hedging and Portfolio Monitoring," Journal of the European Economic Association, MIT Press, vol. 6(1), pages 158-209, March.
    6. Piero Gottardi & Belén Jerez, 2007. "Comment on "Bertrand and Walras Equilibria under Moral Hazard"," Journal of Political Economy, University of Chicago Press, vol. 115(5), pages 893-900, October.
    7. Gauthier, Stéphane & Laroque, Guy, 2014. "On the value of randomization," Journal of Economic Theory, Elsevier, vol. 151(C), pages 493-507.
    8. 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.
    9. Paolo Siconolfi & Aldo Rustichini, 2012. "Economies with Observable Types," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 57-71, January.
    10. 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.
    11. Daron Acemoglu & Alp Simsek, 2010. "Moral Hazard and Efficiency in General Equilibrium with Anonymous Trading," Levine's Working Paper Archive 661465000000000232, David K. Levine.
    12. Belen Jerez, 2005. "Incentive Compatibility and Pricing under Moral Hazard," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(1), pages 28-47, January.
    13. 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.
    14. Alberto Bennardo & Salvatore Piccolo, 2005. "Competitive occupational choices with endogenous health risks," Levine's Working Paper Archive 784828000000000199, David K. Levine.
    15. 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.
    16. Reinstein, David & Song, Joon, 2008. "Efficient Consumer Altruism and Fair Trade," Economics Discussion Papers 2936, University of Essex, Department of Economics.
    17. Anthony Creane & Thomas D. Jeitschko, 2016. "Endogenous Entry in Markets with Unobserved Quality," Journal of Industrial Economics, Wiley Blackwell, vol. 64(3), pages 494-519, September.
    18. Song, Joon, 2008. "Perks: Contractual Arrangements to Restrain Moral Hazard," Economics Discussion Papers 8921, University of Essex, Department of Economics.
    19. Jerez, Belen, 2003. "A dual characterization of incentive efficiency," Journal of Economic Theory, Elsevier, vol. 112(1), pages 1-34, September.
    20. Piero Gottardi & Bel�n Jerez, 2006. "A Note on Walrasian Equilibria with Moral Hazard and Aggregate Uncertainty," Working Papers 2006_43, Department of Economics, University of Venice "Ca' Foscari".
    21. Chade, Hector & Schlee, Edward, 2012. "Optimal insurance with adverse selection," Theoretical Economics, Econometric Society, vol. 7(3), September.
    22. 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.
    23. Etro, Federico, 2017. "Research in economics and game theory. A 70th anniversary," Research in Economics, Elsevier, vol. 71(1), pages 1-7.

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    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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