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The [alpha]-MEU model: A comment

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  • 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].

Suggested Citation

  • Eichberger, Jürgen & Grant, Simon & Kelsey, David & Koshevoy, Gleb A., 2011. "The [alpha]-MEU model: A comment," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1684-1698, July.
    • Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1684-1698
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    References listed on IDEAS

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    1. Nehring, Klaus, 2009. "Imprecise probabilistic beliefs as a context for decision-making under ambiguity," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1054-1091, May.
    2. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    3. Jürgen Eichberger & Simon Grant & David Kelsey, 2008. "Differentiating ambiguity: an expository note," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 327-336, August.
    4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    5. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    6. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
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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. Stergios Athanassoglou & Valentina Bosetti, 2015. "Setting Environmental Policy When Experts Disagree," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(4), pages 497-516, August.
    3. David Kelsey & Tigran Melkonyan, 2018. "Contests with ambiguity," Oxford Economic Papers, Oxford University Press, vol. 70(4), pages 1148-1169.
    4. Jonas Hedlund & T. Florian Kauffeldt & Malte Lammert, 2021. "Correction to: Persuasion under ambiguity," Theory and Decision, Springer, vol. 90(3), pages 483-483, May.
    5. Massimiliano Amarante, 2017. "Conditional expected utility," Theory and Decision, Springer, vol. 83(2), pages 175-193, August.
    6. Martin Dumav & Maxwell B. Stinchcombe, 2021. "The multiple priors of the open-minded decision maker," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 663-692, March.
    7. Jewitt, Ian & Mukerji, Sujoy, 2017. "Ordering ambiguous acts," Journal of Economic Theory, Elsevier, vol. 171(C), pages 213-267.
    8. Matthew Ryan, 2021. "Feddersen and Pesendorfer meet Ellsberg," Theory and Decision, Springer, vol. 90(3), pages 543-577, May.
    9. Peter Wakker, 2011. "Jaffray’s ideas on ambiguity," Theory and Decision, Springer, vol. 71(1), pages 11-22, July.

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