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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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    Cited by:

    1. Joao Correia-da-Silva & Carlos Herves-Beloso, 2008. "General equilibrium with private state verification," Levine's Working Paper Archive 814577000000000024, David K. Levine.
    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. 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.
    4. Song, Joon, 2007. "Futures Market: Contractual Arrangement to Restrain Moral Hazard in Teams," Economics Discussion Papers 8912, University of Essex, Department of Economics.
    5. 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.
    6. Bisin, Alberto; & Gottardi, Piero; & Ruta, Guido, 2014. "Equilibrium corporate finance and intermediation," Economics Working Papers ECO2014/09, European University Institute.
    7. 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".
    8. 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.
    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. 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.
    11. 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.

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