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Optimality of deductible for Yaari's model: a reappraisal

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Abstract

The main purpose of this paper is to show that left monotone risk aversion, a meaningful refinement of strong risk aversion, characterizes Yaari's decision makers for whom deductible insurance is optimal. A second goal is to offer a detailed proof of the deductible's computation, which proves the tractability of Yaari's model under left-monotone risk aversion

Suggested Citation

  • Alain Chateauneuf & Michèle Cohen & Mina Mostoufi & Jean-Christophe Vergnaud, 2015. "Optimality of deductible for Yaari's model: a reappraisal," Documents de travail du Centre d'Economie de la Sorbonne 15072, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  • Handle: RePEc:mse:cesdoc:15072
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    References listed on IDEAS

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    1. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
    2. Michael Landsberger & Isaac Meilijson, 1994. "The Generating Process and an Extension of Jewitt's Location Independent Risk Concept," Management Science, INFORMS, vol. 40(5), pages 662-669, May.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Doherty, Neil A & Eeckhoudt, Louis, 1995. "Optimal Insurance without Expected Utility: The Dual Theory and the Linearity of Insurance Contracts," Journal of Risk and Uncertainty, Springer, vol. 10(2), pages 157-179, March.
    5. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    6. Chateauneuf, A. & Cohen, M. & Meilijson, I., 1997. "New Tools to Better Model Behavior Under Risk and UNcertainty: An Oevrview," Papiers d'Economie Mathématique et Applications 97.55, Université Panthéon-Sorbonne (Paris 1).
    7. repec:hal:journl:halshs-00212281 is not listed on IDEAS
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    More about this item

    Keywords

    Yaari's model; Jewitt's left-monotone risk aversion; optimality of deductible;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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