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Incentive Compatibility And Pricing Under Moral Hazard

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  • Belén Jerez

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Abstract

We study a simple insurance economy with moral hazard, in which random contracts overcome the non-convexities generated by the incentive-compatibility constraints. The novelty is that we use linear programming and duality theory to study the relation between incentive compatibility and pricing. Using linear programming has the advantage that we can impose the incentive-compatibility constraints on the agents that are uninformed (the insurance firms). In contrast, most of the general equilibrium literature imposes them on the informed agents (the consumers). We derive the two welfare theorems, establish the existence of a competitive equilibrium, and characterize the equilibrium prices and allocations. Our competitive equilibrium has two key properties: (i) the equilibrium prices reflect all the relevant information, including the welfare costs arising from the incentive-compatibility constraints; (ii) the equilibrium allocations are the same as when the incentive-compatibility constraints are imposed on the consumers.

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Bibliographic Info

Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we035722.

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Date of creation: Oct 2003
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Handle: RePEc:cte:werepe:we035722

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  1. Bel? Jerez, 2001. "A Dual Characterization of Incentive Efficiency," UFAE and IAE Working Papers 494.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Edward C Prescott & Robert M Townsend, 1997. "General Competitive Analysis in an Economy with Private Information," Levine's Working Paper Archive 1578, David K. Levine.
  3. Kehoe, Timothy J. & Levine, David K. & Prescott, Edward C., 2002. "Lotteries, Sunspots, and Incentive Constraints," Journal of Economic Theory, Elsevier, vol. 107(1), pages 39-69, November.
  4. Mas-Colell, Andreu & Zame, William R., 1991. "Equilibrium theory in infinite dimensional spaces," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 34, pages 1835-1898 Elsevier.
  5. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
  6. 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.
  7. Sun, Yeneng, 1998. "A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN1," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 419-503, May.
  8. 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.
  9. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  10. Greenwald, Bruce C & Stiglitz, Joseph E, 1986. "Externalities in Economies with Imperfect Information and Incomplete Markets," The Quarterly Journal of Economics, MIT Press, vol. 101(2), pages 229-64, May.
  11. Gretsky, Neil E. & Ostroy, Joseph M. & Zame, William R., 1999. "Perfect Competition in the Continuous Assignment Model," Journal of Economic Theory, Elsevier, vol. 88(1), pages 60-118, September.
  12. Bel? Jerez, 2000. "General Equilibrium with Asymmetric Information: a Dual Approach," UFAE and IAE Working Papers 510.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  13. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
  14. Arnott, Richard & Greenwald, Bruce & Stiglitz, Joseph E., 1994. "Information and economic efficiency," Information Economics and Policy, Elsevier, vol. 6(1), pages 77-82, March.
  15. Pradeep Dubey & John Geanakoplos & Martin Shubik, 1988. "Default and Efficiency in a General Equilibrium Model with Incomplete Markets," Cowles Foundation Discussion Papers 879R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1989.
  16. Alberto Bisin & Piero Gottardi, 2000. "Decentralizing Incentive Efficient Allocations of Economies with Adverse Selection," Econometric Society World Congress 2000 Contributed Papers 0855, Econometric Society.
  17. Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
  18. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
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Citations

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Cited by:
  1. 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.
  2. Bisin, Alberto; & Gottardi, Piero; & Ruta, Guido, 2014. "Equilibrium corporate finance and intermediation," Economics Working Papers ECO2014/09, European University Institute.
  3. Joon Song, 2007. "Futures Market: Contractual Arrangement to Restrain Moral Hazard in Teams," Economics Discussion Papers 633, University of Essex, Department of Economics.
  4. João Correia-da-Silva & Carlos Hervés-Beloso, 2014. "Irrelevance of private information in two-period economies with more goods than states of nature," Economic Theory, Springer, vol. 55(2), pages 439-455, February.
  5. João Correia da Silva & Carlos Hervés-Beloso, 2012. "Existence and generic efficiency of equilibrium in two-period economies with private state-verification," FEP Working Papers 443, Universidade do Porto, Faculdade de Economia do Porto.
  6. Joao Correia-da-Silva & Carlos Herves-Beloso, 2010. "Two-period economies with private state verification," FEP Working Papers 374, Universidade do Porto, Faculdade de Economia do Porto.
  7. Joao Correia-da-Silva & Carlos Herves-Beloso, 2008. "General equilibrium with private state verification," Levine's Working Paper Archive 814577000000000024, David K. Levine.
  8. Aldo Rustichini & Paolo Siconolfi, 2008. "General equilibrium in economies with adverse selection," Economic Theory, Springer, vol. 37(1), pages 1-29, October.
  9. João Correia da Silva, 2014. "Two-period economies with price-contingent deliveries," FEP Working Papers 529, Universidade do Porto, Faculdade de Economia do Porto.
  10. Piero Gottardi & Belén 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".

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