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The a-MEU Model: A Comment

Author

Listed:
  • Jurgen Eichberger

    (Alfred Weber Institut, Universitat Heidelberg, Germany)

  • Simon Grant

    (Rice University,Texas)

  • David Kelsey

    (Department of Economics, University of Exeter)

  • Gleb A. Koshevoy

    (Central Institute of Mathematics and Economics RAS)

Abstract

In [7] Ghirardato, Macheroni and Marinacci (GMM) propose a method for distinguishing between perceived ambiguity and the decision-maker'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 a-MEU preferences. If attention is restricted to finite state spaces, we show that any a-MEU preference relation, satisfies GMM's axioms if and only if a = 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].

Suggested Citation

  • Jurgen Eichberger & Simon Grant & David Kelsey & Gleb A. Koshevoy, 2009. "The a-MEU Model: A Comment," Discussion Papers 0903, University of Exeter, Department of Economics.
    • Handle: RePEc:exe:wpaper:0903
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    File URL: https://exetereconomics.github.io/RePEc/dpapers/DP0903.pdf
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    Citations

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    Cited by:

    1. Jürgen Eichberger & Simon Grant & David Kelsey, 2012. "When is ambiguity–attitude constant?," Journal of Risk and Uncertainty, Springer, vol. 45(3), pages 239-263, December.
    2. Casaca, Paulo & Chateauneuf, Alain & Faro, José Heleno, 2014. "Ignorance and competence in choices under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 143-150.
    3. Moti Michaeli, 2014. "Riskiness for sets of gambles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 515-547, August.
    4. Peter Wakker, 2011. "Jaffray’s ideas on ambiguity," Theory and Decision, Springer, vol. 71(1), pages 11-22, July.
    5. Kauffeldt, Florian & Wiesenfarth, Boris, 2014. "Confidence, Pessimism and their Impact on Product Differentiation in a Hotelling Model with Demand Location Uncertainty," Working Papers 0562, University of Heidelberg, Department of Economics.
    6. Adam Dominiak & Jean-Philippe Lefort, 2013. "Agreement theorem for neo-additive beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 1-13, January.
    7. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Stergios Athanassoglou & Valentina Bosetti & Gauthier de Maere d'Aertryckey, 2012. "Optimal investment and the ambiguous aggregation of expert opinions," Working Papers 468, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    9. Eichberger, Jürgen & Guerdjikova, Ani, 2013. "Ambiguity, data and preferences for information – A case-based approach," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1433-1462.
    10. Stephen Dimmock & Roy Kouwenberg & Olivia Mitchell & Kim Peijnenburg, 2015. "Estimating ambiguity preferences and perceptions in multiple prior models: Evidence from the field," Journal of Risk and Uncertainty, Springer, vol. 51(3), pages 219-244, December.

    More about this item

    Keywords

    Ambiguity; multiple priors; invariant biseparable; Clarke derivative; ambiguity-preference.;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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