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A note on "Re-examining the law of iterated expectations for Choquet decision makers"

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  • André Lapied

    ()
    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - École des Hautes Études en Sciences Sociales [EHESS] - CNRS : UMR6579)

  • Pascal Toquebeuf

    ()
    (TEPP - Travail, Emploi et Politiques Publiques - CNRS : FR3435 - Université Paris-Est Marne-la-Vallée (UPEMLV), GAINS - Groupe d'Analyse des Itinéraires et des Niveaux Salariaux - Université du Maine)

Abstract

This note completes the main result of [Zimper A., (2010) Re-examining the law of iterated expectations for Choquet decision makers. Theory and decision, DOI 10.1007/s11238-010-9221-8], by showing that additional conditions are needed in order the law of iterated expectations to hold true for Choquet decision makers. Due to the comonotonic additivity of Choquet expectations, the equation E[f; (d!)] = E[E[f(!i;j); (Ai;jjAi)]; (Ai)]; is valid only when the act f is comonotonic with its dynamic form, that we name "conditional certainty equivalent act".

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number halshs-00856184.

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Date of creation: 04 Dec 2011
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Handle: RePEc:hal:wpaper:halshs-00856184

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Related research

Keywords: Choquet; Capacities; Updating; Law of iterated expectations;

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  1. André Lapied & Pascal Toquebeuf, 2010. "Atemporal non-expected utility preferences, dynamic consistency and consequentialism," Economics Bulletin, AccessEcon, vol. 30(2), pages 1661-1669.
  2. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
  3. Sarin, Rakesh & Wakker, Peter P, 1998. "Revealed Likelihood and Knightian Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 16(3), pages 223-50, July-Aug..
  4. Nobuo Koida, 2012. "Nest-monotonic two-stage acts and exponential probability capacities," Economic Theory, Springer, vol. 50(1), pages 99-124, May.
  5. Alexander Zimper, 2011. "Re-examining the law of iterated expectations for Choquet decision makers," Theory and Decision, Springer, vol. 71(4), pages 669-677, October.
  6. 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. Andre Lapied & Pascal Toquebeuf, 2012. "Dynamically consistent CEU preferences," TEPP Working Paper 2012-10, TEPP.

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