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An allais paradox for generalized expected utility theories?

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  • Laetitia Placido

    ()
    (Greg-Hec, HEC Paris School of Management & CNRS)

  • Olivier L'Haridon

    ()
    (Greg-Hec, HEC Paris School of Management & University Paris Sorbonne)

Abstract

This article reports the results of an experiment which aims at providing a test of ordinal independence, a necessary property of Generalized Expected Utility theories such as Rank-Dependent Expected Utility theory (RDEU). Our experiment is based on a modified version of the Allais paradox proposed by Machina, which allows testing ordinal independence restricted to simple lotteries, i.e. the tail-separability property. The results tend to support RDEU models since tail-separability is not violated by 71% of subjects while 73% violate the independence condition of classic Allais paradox. This confirms the relative theoritical soundness of RDEU models over Expected Utility model for the particular context of risk.

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Bibliographic Info

Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 4 (2008)
Issue (Month): 19 ()
Pages: 1-6

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Handle: RePEc:ebl:ecbull:eb-08d80019

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  1. Wakker, Peter & Erev, Ido & Weber, Elke U, 1994. "Comonotonic Independence: The Critical Test between Classical and Rank-Dependent Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 9(3), pages 195-230, December.
  2. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
  3. Jullien Bruno & Green Jerry G, 1988. "Ordinal independence in non-linear utility theory," CEPREMAP Working Papers (Couverture Orange) 8818, CEPREMAP.
  4. A. Marley & R. Luce, 2005. "Independence Properties Vis-À-Vis Several Utility Representations," Theory and Decision, Springer, vol. 58(1), pages 77-143, 02.
  5. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  6. Segal, Uzi, 1987. "Some remarks on Quiggin's anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 8(1), pages 145-154, March.
  7. Weber, Elke U & Kirsner, Britt, 1997. "Reasons for Rank-Dependent Utility Evaluation," Journal of Risk and Uncertainty, Springer, vol. 14(1), pages 41-61, January.
  8. Wu, George, 1994. "An Empirical Test of Ordinal Independence," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 39-60, July.
  9. 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.
  10. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  11. Wakker, Peter P. & Zank, Horst, 2002. "A simple preference foundation of cumulative prospect theory with power utility," European Economic Review, Elsevier, vol. 46(7), pages 1253-1271, July.
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Cited by:
  1. L’Haridon, Olivier & Placido, Lætitia, 2008. "Betting on Machina's reflection example: an experiment on ambiguity," Les Cahiers de Recherche 909, HEC Paris.

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