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Counterexamples to Segal's Measure Representation Theorem

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  • Wakker, Peter

Abstract

This article discusses relations between several notions of continuity in rank-dependent utility, and in the generalized version of rank-dependent utility as initiated by Segal. Primarily, examples are given to show logical independencies between these notions of continuity. This also leads to counterexamples to Segal's (1989) characterizing theorem 1. Copyright 1993 by Kluwer Academic Publishers

Suggested Citation

  • Wakker, Peter, 1993. "Counterexamples to Segal's Measure Representation Theorem," Journal of Risk and Uncertainty, Springer, vol. 6(1), pages 91-98, January.
    • Handle: RePEc:kap:jrisku:v:6:y:1993:i:1:p:91-98
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    Cited by:

    1. Castagnoli, Erio & LiCalzi, Marco, 2006. "Benchmarking real-valued acts," Games and Economic Behavior, Elsevier, vol. 57(2), pages 236-253, November.
    2. Trabelsi, Mohamed Ali, 2006. "Les nouveaux modèles de décision dans le risque et l’incertain : quel apport ? [The new models of decision under risk or uncertainty : What approach?]," MPRA Paper 25442, University Library of Munich, Germany.
    3. Wakker, Peter, 1996. "The sure-thing principle and the comonotonic sure-thing principle: An axiomatic analysis," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 213-227.
    4. Grant, Simon & Kajii, Atsushi, 1998. "AUSI expected utility: An anticipated utility theory of relative disappointment aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 37(3), pages 277-290, November.
    5. LiCalzi, Marco, 1998. "Variations on the measure representation approach," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 255-269, April.

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