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Moral hazard and linear contracts : Economies with idiosyncratic risks


  • CITANNA, Alessandro


In exchange economies where moral hazard affects the distribution of individual risks, we study the viability of linear nonexclusive contracts. It is shown that the linearity in prices and payoffs is compatible with the presence of moral hazard when coupled with a simple participation fee. More specifically, we prove existence of competitive equilibrium when individuals exchange the contracts. The participation fee can be seen as a form of sharing the profits and losses of an insurance company offering such contracts. The contracts can be given the more general interpretation of financial assets in markets where the unverifiability of trades is widespread. The asset prices are such that financial markets may be "incomplete" at equilibrium.

Suggested Citation

  • CITANNA, Alessandro, 2000. "Moral hazard and linear contracts : Economies with idiosyncratic risks," Les Cahiers de Recherche 699, HEC Paris.
  • Handle: RePEc:ebg:heccah:0699

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    References listed on IDEAS

    1. Smale, S., 1974. "Global analysis and economics IIA : Extension of a theorem of Debreu," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 1-14, March.
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    3. Cass, David & Chichilnisky, Graciela & Wu, Ho-Mou, 1996. "Individual Risk and Mutual Insurance," Econometrica, Econometric Society, vol. 64(2), pages 333-341, March.
    4. 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.
    5. 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.
    6. Helpman, Elhanan & Laffont, Jean-Jacques, 1975. "On moral hazard in general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 10(1), pages 8-23, February.
    7. MINELLI, Enrico & POLEMARCHAKIS, Heracles, 1999. "Nash-Walras equilibria of a large economy," CORE Discussion Papers 1999043, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Malinvaud, E, 1973. "Markets for an Exchange Economy with Individual Risks," Econometrica, Econometric Society, vol. 41(3), pages 383-410, May.
    9. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
    10. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
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    Cited by:

    1. 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.

    More about this item


    Moral hazard; competitive equilibrium; financial markets; insurance;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies


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