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Ambiguity, measurability and multiple priors

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  • Massimiliano Amarante

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Abstract

The paper provides a notion of measurability for Multiple Prior Models characterized by nonatomic countably additive priors. A notable feature of our definition of measurability is that an event is measurable if and only if it is unambiguous in the sense of Ghirardato, Maccheroni and Marinacci [6]. In addition, the paper contains a thorough description of the basic properties of the family of measurable/unambiguous sets, of the measure defined on those and of the dependence of the class of measurable sets on the set of priors. The latter is obtained by means of an application of Lyapunov’s convexity theorem. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Massimiliano Amarante, 2005. "Ambiguity, measurability and multiple priors," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 995-1006, November.
  • Handle: RePEc:spr:joecth:v:26:y:2005:i:4:p:995-1006
    DOI: 10.1007/s00199-004-0559-4
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    File URL: http://hdl.handle.net/10.1007/s00199-004-0559-4
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    Cited by:

    1. Massimiliano Amarante & Fabio Maccheroni, 2006. "When an Event Makes a Difference," Theory and Decision, Springer, vol. 60(2), pages 119-126, May.
    2. Claude HENRY & Marc HENRY, 2002. "Formalization and Applications of the Precuationary Principle," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    3. Yehuda Izhakian & Zur Izhakian, 2015. "Decision making in phantom spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 59-98, January.
    4. Amarante, Massimiliano & Filiz, Emel, 2007. "Ambiguous events and maxmin expected utility," Journal of Economic Theory, Elsevier, vol. 134(1), pages 1-33, May.

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