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Beliefs and Dynamic Consistency

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  • Jean-Marc Tallon

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Christophe Vergnaud

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this chapter, we adopt the decision theoretic approach to the representation and updating of beliefs. We take up this issue and propose a reconsideration of Hammond's argument. After reviewing the argument more formally, we propose a weaker notion of dynamic consistency. We observe that this notion does not imply the full fledged sure thing principle thus leaving some room for models that are not based on expected utility maximization. However, these models still do not account for ''imprecision averse" behavior such as the one exhibited in Ellsberg experiment and that is captured by non-Bayesian models such as the multiple prior model. We therefore go on with the argument and establish that such non-Bayesian models possess the weak form of dynamic consistency when the information considered consists of a reduction in imprecision (in the Ellsberg example, some information about the proportion of Black and Yellow balls)

Suggested Citation

  • Jean-Marc Tallon & Jean-Christophe Vergnaud, 2006. "Beliefs and Dynamic Consistency," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00306458, HAL.
  • Handle: RePEc:hal:cesptp:hal-00306458
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00306458
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    References listed on IDEAS

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    1. Cohen, M. & Tallon, J.M., 1999. "Decision dans le risque et l'incertitude:l'apport des modeles non additifs," Papiers d'Economie Mathématique et Applications 1999.69, Université Panthéon-Sorbonne (Paris 1).
    2. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    3. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    4. Hammond, P.J. & , ., 1987. "Consequentialist foundations for expected utility," CORE Discussion Papers 1987016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Epstein Larry G. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October.
    6. Karni, Edi & Schmeidler, David, 1991. "Utility theory with uncertainty," Handbook of Mathematical Economics,in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 33, pages 1763-1831 Elsevier.
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    1. repec:bpj:apjrin:v:12:y:2018:i:1:p:36:n:3 is not listed on IDEAS

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    Keywords

    R. Arena and A. Festré;

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