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Updating Choquet capacities: a general framework


  • Robert Kast


  • André Lapied

    () (GREQAM, IDEP, Paul Cézanne University)

  • Pascal Toquebeuf

    () (GAINS-TEPP)


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," Economics Bulletin, AccessEcon, vol. 32(2), pages 1495-1503.
  • Handle: RePEc:ebl:ecbull:eb-12-00066

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    References listed on IDEAS

    1. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
    2. 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.
    3. Gilboa Itzhak & Schmeidler David, 1993. "Updating Ambiguous Beliefs," Journal of Economic Theory, Elsevier, vol. 59(1), pages 33-49, February.
    4. 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.
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    Cited by:

    1. AMARANTE, Massimiliano, 2014. "What is ambiguity?," Cahiers de recherche 2014-01, Universite de Montreal, Departement de sciences economiques.

    More about this item


    Choquet expected utility; Capacities; Updating;

    JEL classification:

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


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