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Exactly What Happens After the Anscombe-Aumann Race? Representing Preferences in Vague Environments

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Author Info
Marie-Louise Vierø () (Department of Economics, Queen's University)

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Abstract

This paper derives a representation of preferences for a choice theory with vague environments; vague in the sense that the agent does not know the precise probability distributions over outcomes conditional on states. Instead, he knows only a possible set of these probabilities for each state. Thus, the paper relaxes an assumption about the environment, which is done while maintaining the independence axiom. The behavior implied by this model is different from both the behavior implied by standard subjective expected utility models and the behavior implied by ambiguity aversion models. To illustrate these differences and the importance of allowing for vagueness, the consequences of the developed theory for a simple contracting problem are considered. The paper also provides a defense of the independence axiom against the usual Ellsberg critique.

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File URL: http://www.econ.queensu.ca/working_papers/papers/qed_wp_1094.pdf
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Publisher Info
Paper provided by Queen's University, Department of Economics in its series Working Papers with number 1094.

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Length: 42 pages
Date of creation: Oct 2006
Date of revision:
Handle: RePEc:qed:wpaper:1094

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Related research
Keywords: Decision Theory; Vagueness; Utility; Optimism; Positivism;

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Find related papers by JEL classification:
D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D00 - Microeconomics - - General - - - General

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References listed on IDEAS
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. Larry Epstein & Massimo Marinacci, 2005. "Coarse Contingencies," RCER Working Papers 515, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
    Other versions:
  2. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April. [Downloadable!] (restricted)
  3. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    Other versions:
  4. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-77, May. [Downloadable!] (restricted)
  5. Thibault Gajdos & Takashi Hayashi & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2006. "Attitude toward imprecise information," Cahiers de la Maison des Sciences Economiques v06081, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  6. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November. [Downloadable!] (restricted)
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  7. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November. [Downloadable!] (restricted)
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  8. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November. [Downloadable!] (restricted)
    Other versions:
  9. Truman F. Bewley, 1986. "Knightian Decision Theory: Part 1," Cowles Foundation Discussion Papers 807, Cowles Foundation, Yale University. [Downloadable!]
  10. Marie-Louise Vierø, 2006. "Contracting in Vague Environments," Working Papers 1106, Queen's University, Department of Economics. [Downloadable!]
  11. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October. [Downloadable!] (restricted)
  12. Ghirardato, Paolo, 1996. "Coping With Ignorance: Unforeseen Contingencies and Non-Additive Uncertainty," Working Papers 945, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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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. Marie-Louise Vierø, 2006. "Contracting in Vague Environments," Working Papers 1106, Queen's University, Department of Economics. [Downloadable!]
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