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Updating Choquet capacities: a general framework

Author

Listed:
  • Robert Kast

    (CNRS - Centre National de la Recherche Scientifique)

  • André Lapied

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Pascal Toquebeuf

    (GAEL - Laboratoire d'Economie Appliquée = Grenoble Applied Economics Laboratory - UPMF - Université Pierre Mendès France - Grenoble 2 - INRA - Institut National de la Recherche Agronomique)

Abstract

Several updating rules for Choquet capacities have been proposed in the literature. We propose to study them in a general framework consisting of extending the definition of conditional expectations to the Choquet case. Then we adopt several relations between unconditional and conditional expectations and observe which updating rule is able to resolve such and such a relation. It allows to specify which updating rule should be used depending on the decision context.

Suggested Citation

  • Robert Kast & André Lapied & Pascal Toquebeuf, 2012. "Updating Choquet capacities: a general framework," Post-Print hal-04476906, HAL.
    • Handle: RePEc:hal:journl:hal-04476906
    Note: View the original document on HAL open archive server: https://hal.science/hal-04476906v1
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    References listed on IDEAS

    as
    1. Chateauneuf, Alain, 1991. "On the use of capacities in modeling uncertainty aversion and risk aversion," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 343-369.
    2. Gilboa Itzhak & Schmeidler David, 1993. "Updating Ambiguous Beliefs," Journal of Economic Theory, Elsevier, vol. 59(1), pages 33-49, February.
    3. Alain Chateauneuf & Robert Kast & André Lapied, 2001. "Conditioning Capacities and Choquet Integrals: The Role of Comonotony," Theory and Decision, Springer, vol. 51(2), pages 367-386, December.
    4. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
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    Cited by:

    1. Giulianella Coletti & Davide Petturiti & Barbara Vantaggi, 2019. "Dutch book rationality conditions for conditional preferences under ambiguity," Annals of Operations Research, Springer, vol. 279(1), pages 115-150, August.
    2. AMARANTE, Massimiliano, 2014. "What is ambiguity?," Cahiers de recherche 2014-01, Universite de Montreal, Departement de sciences economiques.
    3. Massimiliano Amarante, 2017. "Information and Ambiguity: Toward a Foundation of Nonexpected Utility," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1254-1279, November.

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    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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