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Monotone continuous multiple priors

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Author Info
Alain Chateauneuf (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)
Fabio Macheronni (Department of economics - Università Commerciale L. Bocconi)
Massimo Marinacci (Department of economics - Università degli studi di Torino)
Jean-Marc Tallon () (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - CNRS : UMR8594 - Université Panthéon-Sorbonne - Paris I, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris)

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Abstract

We show that the monotone continuity condition introduced by Arrow (1970) is the behavioral counterpart of countable additivity and weak compactness of the set of priors in a maxmin expected utility model. This generalizes Arrow's original result, who considered the special case of a singleton set of priors. Several other convenient technical properties of the set of priors, like non-atomicity, are studied and their behavioral counterparts are provided.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00177057_v1.

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Date of creation: 2005
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Publication status: Published, Economic Theory, 2005, 26, 4, 973-982
Handle: RePEc:hal:cesptp:halshs-00177057_v1

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Keywords: multiple prior; continuity;

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References listed on IDEAS
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  1. Massimo Marinacci & Luigi Montrucchio, 2005. "Stable cores of large games," International Journal of Game Theory, Springer, vol. 33(2), pages 189-213, 06. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2004. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Carlo Alberto Notebooks 12, Collegio Carlo Alberto, revised 2006. [Downloadable!]
    Other versions:
  2. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2004. "Variational representation of preferences under ambiguity," ICER Working Papers - Applied Mathematics Series 05-2004, ICER - International Centre for Economic Research. [Downloadable!]
  3. Massimiliano Amarante & F. Maccheroni & M. Marinacci & L. Montrucchio, 2005. "Cores of non-atomic market games," Discussion Papers 0506-10, Columbia University, Department of Economics. [Downloadable!]
    Other versions:
  4. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research. [Downloadable!]
  5. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research. [Downloadable!]
  6. Massimiliano Amarante, 2003. "Ambiguity, Measurability and Multiple Priors," Discussion Papers 0203-23, Columbia University, Department of Economics. [Downloadable!]
  7. Massimiliano Amarante & Emel Filiz, 2004. "Ambiguous events and Maxmin Expected Utility," Discussion Papers 0405-09, Columbia University, Department of Economics. [Downloadable!]
    Other versions:
  8. Alain Chateauneuf & Jean-Philippe Lefort, 2006. "Some Fubini theorems on sigma-algebras for non additive measures," Cahiers de la Maison des Sciences Economiques b06086, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  9. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research. [Downloadable!]
  10. Massimo Marinacci, 2001. "Probabilistic sophistication and multiple priors," ICER Working Papers - Applied Mathematics Series 08-2001, ICER - International Centre for Economic Research. [Downloadable!]
    Other versions:
  11. Massimiliano Amarante & Fabio Maccheroni, 2004. "The Knob of the Discord," Discussion Papers 0405-14, Columbia University, Department of Economics. [Downloadable!]
  12. Massimiliano Amarante, 2003. "Ambiguous Events," Discussion Papers 0304-04, Columbia University, Department of Economics. [Downloadable!]
  13. Massimo Marinacci & Fabio Maccheroni, 2002. "How to cut a pizza fairly: fair division with descreasing marginal evaluations," ICER Working Papers - Applied Mathematics Series 23-2002, ICER - International Centre for Economic Research. [Downloadable!]
    Other versions:
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