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The [alpha]-MEU model: A comment

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Author Info

  • Eichberger, Jürgen
  • Grant, Simon
  • Kelsey, David
  • Koshevoy, Gleb A.

Abstract

In Ghirardato et al. (2004) [7], Ghirardato, Macheroni and Marinacci propose a method for distinguishing between perceived ambiguity and the decision-maker[modifier letter apostrophe]s reaction to it. They study a general class of preferences which they refer to as invariant biseparable. This class includes CEU and MEU. They axiomatize a subclass of [alpha]-MEU preferences. If attention is restricted to finite state spaces, we show that any [alpha]-MEU preference relation, satisfies GMM[modifier letter apostrophe]s axioms if and only if [alpha]=0 or 1, that is, the preferences must be either maxmin or maxmax. We show by example that these axioms may be satisfied when the state space is [0,1].

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 146 (2011)
Issue (Month): 4 (July)
Pages: 1684-1698

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Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1684-1698

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Ambiguity Multiple priors Invariant biseparable Clarke derivative Ambiguity-preference;

References

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  1. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
  2. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
  3. Chateauneuf, Alain & Eichberger, Jürgen & Grant, Simon, 2003. "Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities," Sonderforschungsbereich 504 Publications 03-10, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  4. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  5. Jürgen Eichberger & Simon Grant & David Kelsey, 2008. "Differentiating ambiguity: an expository note," Economic Theory, Springer, vol. 36(2), pages 327-336, August.
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Cited by:
  1. Peter Wakker, 2011. "Jaffray’s ideas on ambiguity," Theory and Decision, Springer, vol. 71(1), pages 11-22, July.
  2. Jürgen Eichberger & Simon Grant & David Kelsey, 2012. "When is Ambiguity-Attitude Constant?," CESifo Working Paper Series 3768, CESifo Group Munich.

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