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Crisp Fair Gambles

Author

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  • Éric André

    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS & EHESS)

Abstract

Axiomatic models of decision under ambiguity with a non-unique prior allow for the existence of Crisp Fair Gambles: acts whose expected utility is nul whichever of the priors is used. But, in these models, the DM has to be indifferent to the addition of such acts. Their existence is then at odds with a preference taking into account the variance of the prospects. In this paper we study some geometrical and topological properties of the set of priors that would rule out the existence of Crisp Fair Gambles, properties which have consequences on what can be an unambiguous financial asset.

Suggested Citation

  • Éric André, 2014. "Crisp Fair Gambles," AMSE Working Papers 1410, Aix-Marseille School of Economics, France, revised 15 Mar 2014.
  • Handle: RePEc:aim:wpaimx:1410
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    monotone mean-variance preferences; Ambiguity; set of priors; crisp acts; unambiguous asset;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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