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Cardinal extensions of EU model based on the Choquet integral

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  • Alain Chateauneuf

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Michèle Cohen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This chapter of a collective book aims at presenting cardinal extensions of the EU model, based on the Choquet integral, which allow to take into account observed behaviors as in Allais' paradox under risk or Ellsberg's paradox under uncertainty, where the expected utility model is violated. Under a key axiom, the comonotonic independence axiom, Schmeidler under uncertainty, and Quiggin and Yaari under risk, succeeded to characterize preferences which generalize the EU model, by means of a functional that turned out to be a Choquet integral. These models not only explain most of the observed paradoxes but also allow for more diversified patterns of behavior under uncertainty as well under risk.

Suggested Citation

  • Alain Chateauneuf & Michèle Cohen, 2008. "Cardinal extensions of EU model based on the Choquet integral," Post-Print halshs-00348822, HAL.
    • Handle: RePEc:hal:journl:halshs-00348822
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00348822
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    3. Didier Dubois, 2010. "Representation, Propagation, and Decision Issues in Risk Analysis Under Incomplete Probabilistic Information," Risk Analysis, John Wiley & Sons, vol. 30(3), pages 361-368, March.

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    More about this item

    Keywords

    Choquet integral; Uncertainty; risk; coomonotony; Choquet capacity; Choquet integral.; Incertain; risque; comonotonie; capacité de Choquet; intégrale de Choquet.;
    All these keywords.

    JEL classification:

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

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