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Incentive compatibility and pricing under moral hazard

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  • Jerez, Belén

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.

Suggested Citation

  • Jerez, Belén, 2003. "Incentive compatibility and pricing under moral hazard," UC3M Working papers. Economics we035722, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we035722
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    1. 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.
    2. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    3. 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.
    4. Jerez, Belen, 2003. "A dual characterization of incentive efficiency," Journal of Economic Theory, Elsevier, vol. 112(1), pages 1-34, September.
    5. Arnott, Richard & Greenwald, Bruce & Stiglitz, Joseph E., 1994. "Information and economic efficiency," Information Economics and Policy, Elsevier, vol. 6(1), pages 77-82, March.
    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.
    7. 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).
    8. 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.
    9. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
    10. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    11. 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.
    12. Alberto Bisin & Piero Gottardi, 2000. "Decentralizing Incentive Efficient Allocations of Economies with Adverse Selection," Econometric Society World Congress 2000 Contributed Papers 0855, Econometric Society.
    13. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    14. 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.
    15. 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.
    16. Bruce C. Greenwald & Joseph E. Stiglitz, 1986. "Externalities in Economies with Imperfect Information and Incomplete Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(2), pages 229-264.
    17. 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.
    18. 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.
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    Cited by:

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    2. Joon Song, 2012. "Futures market: contractual arrangement to restrain moral hazard in teams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 163-189, September.
    3. João Correia-da-Silva, 2015. "Two-period economies with price-contingent deliveries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 509-525, August.
    4. Scotchmer, Suzanne & Shannon, Chris, 2019. "Verifiability and group formation in markets," Journal of Economic Theory, Elsevier, vol. 183(C), pages 417-477.
    5. Alberto Bisin & Gian Luca Clementi & Piero Gottardi, 2014. "Capital Structure and Hedging Demand with Incomplete Markets," NBER Working Papers 20345, National Bureau of Economic Research, Inc.
    6. Aldo Rustichini & Paolo Siconolfi, 2008. "General equilibrium in economies with adverse selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 1-29, October.
    7. 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;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 439-455, February.
    8. Joao Correia-da-Silva & Carlos Herves-Beloso, 2008. "General equilibrium with private state verification," Levine's Working Paper Archive 814577000000000024, David K. Levine.
    9. Alex Citanna & Paolo Siconolfi, 2020. "Constrained Efficient Markets For Manipulation Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1531-1567, November.
    10. Xun Liu & Sen Lin & Lixing Liu & Fei Qian & Kun Zhang, 2020. "Exploring the Factors Triggering Occupational Ethics Risk of Technology Transaction in Chinese Construction Industry," IJERPH, MDPI, vol. 17(4), pages 1-18, February.
    11. 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".
    12. Bisin, Alberto; & Gottardi, Piero; & Ruta, Guido, 2014. "Equilibrium corporate finance and intermediation," Economics Working Papers ECO2014/09, European University Institute.
    13. 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.
    14. 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.

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