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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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    References listed on IDEAS

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    1. Skiadas, Costis, 1997. "Subjective Probability under Additive Aggregation of Conditional Preferences," Journal of Economic Theory, Elsevier, vol. 76(2), pages 242-271, October.
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    3. Finkelshtain, Israel & Feinerman, Eli, 1997. "Framing the Allais paradox as a daily farm decision problem: tests and explanations," Agricultural Economics, Blackwell, vol. 15(3), pages 155-167, January.
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    5. 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.
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    7. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    8. Michael Braun & Alexander Muermann, 2004. "The Impact of Regret on the Demand for Insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(4), pages 737-767.
    9. Grant, Simon & Kajii, Atsushi & Polak, Ben, 2001. "Different notions of disappointment aversion," Economics Letters, Elsevier, vol. 70(2), pages 203-208, February.
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    14. Quiggin, John, 1994. "Regret Theory with General Choice Sets," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 153-165, March.
    15. J. Jeffrey Inman & James S. Dyer & Jianmin Jia, 1997. "A Generalized Utility Model of Disappointment and Regret Effects on Post-Choice Valuation," Marketing Science, INFORMS, pages 97-111.
    16. Finkelshtain, Israel & Feinerman, Eli, 1997. "Framing the Allais paradox as a daily farm decision problem: tests and explanations," Agricultural Economics of Agricultural Economists, International Association of Agricultural Economists, vol. 15(3), January.
    17. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    18. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
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    Cited by:

    1. 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.
    2. Castagnoli, Erio & LiCalzi, Marco, 2006. "Benchmarking real-valued acts," Games and Economic Behavior, Elsevier, vol. 57(2), pages 236-253, November.
    3. 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.
    4. 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.
    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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