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Ambiguity, Measurability and Multiple Priors

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Author Info
Massimiliano Amarante () (Department of Economics, Columbia University)
Abstract

The paper provides a notion of measurability which is suited for a class of Multiple Prior Models. Those characterized by nonatomic countably additive priors. Preferences generating such representations have been recently axiomatized in [12]. 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 [8]. 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.

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File URL: http://www.econ.columbia.edu/RePEc/pdf/DP0203-23.pdf
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Paper provided by Columbia University, Department of Economics in its series Discussion Papers with number 0203-23.

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Length: 15 pages
Date of creation: 2003
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Handle: RePEc:clu:wpaper:0203-23

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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. Massimo Marinacci & Fabio Maccheroni & Alain Chateauneuf & Jean-Marc Tallon, 2003. "Monotone Continuous Multiple Priors," ICER Working Papers - Applied Mathematics Series 30-2003, ICER - International Centre for Economic Research. [Downloadable!]
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  2. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2002. "Ambiguity from the Differential Viewpoint," Working Papers 1130, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  3. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February. [Downloadable!] (restricted)
  4. Massimiliano Amarante, 2003. "Ambiguous Events," Discussion Papers 0304-04, Columbia University, Department of Economics. [Downloadable!]
  5. Stinchcombe, Maxwell B, 1997. "Countably Additive Subjective Probabilities," Review of Economic Studies, Blackwell Publishing, vol. 64(1), pages 125-46, January. [Downloadable!] (restricted)
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Cited by:
(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. Massimiliano Amarante & Emel Filiz, 2004. "Ambiguous events and Maxmin Expected Utility," Discussion Papers 0405-09, Columbia University, Department of Economics. [Downloadable!]
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