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Neo-additive capacities and updating

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  • Eichberger, Jürgen
  • Grant, Simon
  • Lefort, Jean-Philippe

Abstract

This paper shows that, for CEU preferences, the axioms consquentialism, state independence and conditional certainty equivalent consistency under updating characterise a family of capacities, called Genralised Neo-Additive Capacities (GNAC). This family contains as special cases among others neo-additive capacities as introduced by Chateauneuf, Eichberger, and Grant(2007), Hurwicz capacities, and ε-contaminations. Moreover, we will show that the convex version of a GNAC is the only capacity for which the core of the Full-Bayesian Updates of a capacity, introduced by Jaffray (1992), equals the set of Bayesian updates of the probability distributions in the core of the original capacity.

Suggested Citation

  • Eichberger, Jürgen & Grant, Simon & Lefort, Jean-Philippe, 2009. "Neo-additive capacities and updating," Working Papers 0490, University of Heidelberg, Department of Economics.
    • Handle: RePEc:awi:wpaper:0490
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    1. Jürgen Eichberger & David Kelsey & Burkhard C. Schipper, 2009. "Ambiguity and social interaction," Oxford Economic Papers, Oxford University Press, vol. 61(2), pages 355-379, April.
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    Cited by:

    1. Alain Chateauneuf & Thibault Gajdos & Jean-Yves Jaffray, 2011. "Regular updating," Theory and Decision, Springer, vol. 71(1), pages 111-128, July.
    2. repec:dau:papers:123456789/7323 is not listed on IDEAS
    3. Adam Dominiak & Jean-Philippe Lefort, 2011. "Unambiguous events and dynamic Choquet preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(3), pages 401-425, April.

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    More about this item

    Keywords

    Ambiguity; Updating; Choquet Expected Utility; neo-additive capacities; Conditional Certainty Equivalent Consistency;
    All these keywords.

    JEL classification:

    • D - Microeconomics
    • D - Microeconomics

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