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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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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. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December. [Downloadable!] (restricted)
  2. Alberto Bennardo & Pierre-Andre Chiappori, 2003. "Bertrand and Walras Equilibria Under Moral Hazard," Levine's Working Paper Archive 618897000000000748, UCLA Department of Economics. [Downloadable!]
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  3. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. 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, Yale University, revised Feb 1989. [Downloadable!]
  6. 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. [Downloadable!] (restricted)
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  7. Belen Jerez, 2000. "General Equilibrium with Asymmetric Information: A Dual Approach," Econometric Society World Congress 2000 Contributed Papers 1497, Econometric Society. [Downloadable!]
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  8. Arnott, Richard & Greenwald, Bruce & Stiglitz, Joseph E., 1994. "Information and economic efficiency," Information Economics and Policy, Elsevier, vol. 6(1), pages 77-82, March. [Downloadable!] (restricted)
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  9. Alberto Bisin & Piero Gottardi, 2000. "Decentralizing Incentive Efficient Allocations of Economies with Adverse Selection," Econometric Society World Congress 2000 Contributed Papers 0855, Econometric Society. [Downloadable!]
  10. Prescott, Edward C & Townsend, Robert M, 1984. "General Competitive Analysis in an Economy with Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 1-20, February. [Downloadable!] (restricted)
  11. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January. [Downloadable!] (restricted)
  12. 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.
  13. 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. [Downloadable!] (restricted)
  14. 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. [Downloadable!] (restricted)
  15. 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. [Downloadable!] (restricted)
  16. Jerez, Belen, 2003. "A dual characterization of incentive efficiency," Journal of Economic Theory, Elsevier, vol. 112(1), pages 1-34, September. [Downloadable!] (restricted)
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  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. [Downloadable!] (restricted)
  18. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Joon Song, 2007. "Futures Market: Contractual Arrangement to Restrain Moral Hazard in Teams," Economics Discussion Papers 633, University of Essex, Department of Economics. [Downloadable!]
  2. Aldo Rustichini & Paolo Siconolfi, 2008. "General equilibrium in economies with adverse selection," Economic Theory, Springer, vol. 37(1), pages 1-29, October. [Downloadable!] (restricted)
  3. Luca Panaccione, 2007. "Pareto Optima and Competitive Equilibria with Moral Hazard and Financial Markets," Topics in Theoretical Economics, Berkeley Electronic Press, vol. 7(1), pages 1358-1358. [Downloadable!] (restricted)
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