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On the Intuition of Rank-Dependent Utility

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Author Info
 Diecidue, Enrico
Wakker, Peter P

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Abstract

Among the most popular models for decision under risk and uncertainty are the rank-dependent models, introduced by Quiggin and Schmeidler. Central concepts in these models are rank-dependence and comonotonicity. It has been suggested that these concepts are technical tools that have no intuitive or empirical content. This paper describes such contents. As a result, rank-dependence and comonotonicity become natural concepts upon which preference conditions, empirical tests, and improvements in utility measurement can be based. Further, a new derivation of the rank-dependent models is obtained. It is not based on observable preference axioms or on empirical data, but naturally follows from the intuitive perspective assumed. We think that the popularity of the rank-dependent theories is mainly due to the natural concepts used in these theories. Copyright 2001 by Kluwer Academic Publishers

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Publisher Info
Article provided by Springer in its journal Journal of Risk and Uncertainty.

Volume (Year): 23 (2001)
Issue (Month): 3 (November)
Pages: 281-98
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Handle: RePEc:kap:jrisku:v:23:y:2001:i:3:p:281-98

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Gilboa, Itzhak, 1989. "Expectation and Variation in Multi-period Decisions," Econometrica, Econometric Society, vol. 57(5), pages 1153-69, September. [Downloadable!] (restricted)
  2. Sarin, Rakesh & Wakker, Peter P, 1998. "Revealed Likelihood and Knightian Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 16(3), pages 223-50, July-Aug.. [Downloadable!] (restricted)
  3. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  4. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August. [Downloadable!] (restricted)
  5. Karni, Edi & Safra, Zvi, 1990. "Rank-Dependent Probabilities," Economic Journal, Royal Economic Society, vol. 100(401), pages 487-95, June. [Downloadable!] (restricted)
    Other versions:
  6. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February. [Downloadable!] (restricted)
  7. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November. [Downloadable!] (restricted)
  8. Fox, Craig R & Rogers, Brett A & Tversky, Amos, 1996. "Options Traders Exhibit Subadditive Decision Weights," Journal of Risk and Uncertainty, Springer, vol. 13(1), pages 5-17, July.
  9. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December. [Downloadable!] (restricted)
  12. Wakker, Peter & Tversky, Amos, 1993. " An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-75, October.
  13. Roell, Ailsa A, 1987. "Risk Aversion in Quiggin and Yaari's Rank-Order Model of Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 97(388a), pages 143-59, Supplemen. [Downloadable!] (restricted)
  14. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-89, November. [Downloadable!] (restricted)
  15. Viscusi, W Kip, 1997. "Alarmist Decisions with Divergent Risk Information," Economic Journal, Royal Economic Society, vol. 107(445), pages 1657-70, November. [Downloadable!] (restricted)
  16. Fox, Craig R & Tversky, Amos, 1995. "Ambiguity Aversion and Comparative Ignorance," The Quarterly Journal of Economics, MIT Press, vol. 110(3), pages 585-603, August. [Downloadable!] (restricted)
  17. Karni, Edi & Schmeidler, David, 1991. "Utility theory with uncertainty," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 33, pages 1763-1831 Elsevier. [Downloadable!] (restricted)
  18. Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-96, March.
  19. Backhouse, Roger E, 1998. "If Mathematics Is Informal, Then Perhaps We Should Accept That Economics Must Be Informal Too," Economic Journal, Royal Economic Society, vol. 108(451), pages 1848-58, November. [Downloadable!] (restricted)
  20. Luce, R Duncan, 1998. "Coalescing, Event Commutativity, and Theories of Utility," Journal of Risk and Uncertainty, Springer, vol. 16(1), pages 87-114, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Michael Birnbaum, 2005. "A Comparison of Five Models that Predict Violations of First-Order Stochastic Dominance in Risky Decision Making," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 263-287, December. [Downloadable!] (restricted)
  2. Brown, Gordon D. A. & Gardner, Jonathan & Oswald, Andrew & Qian, Jing, 2005. "Does Wage Rank Affect Employees’ Wellbeing?," IZA Discussion Papers 1505, Institute for the Study of Labor (IZA). [Downloadable!]
  3. Rolf Aaberge, 2002. "Empirical Rules of Thumb for Choice under Uncertainty," ICER Working Papers 22-2002, ICER - International Centre for Economic Research. [Downloadable!]
  4. Bruno Deffains & Eric Langlais, 2009. "Legal Interpretative Process and Litigants’Cognitive Biases," EconomiX Working Papers 2009-8, University of Paris West - Nanterre la Défense, EconomiX. [Downloadable!]
    Other versions:
  5. Mohammed Abdellaoui & Han Bleichrodt & Olivier L’Haridon, 2008. "A tractable method to measure utility and loss aversion under prospect theory," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 245-266, June. [Downloadable!] (restricted)
  6. Philippe Delquié & Alessandra Cillo, 2006. "Disappointment without prior expectation: a unifying perspective on decision under risk," Journal of Risk and Uncertainty, Springer, vol. 33(3), pages 197-215, December. [Downloadable!] (restricted)
  7. Matthew Ryan & Rhema Vaithianathan, 2003. "Adverse Selection and Insurance Contracting: A Rank-Dependent Utility Analysis," Contributions to Theoretical Economics, Berkeley Electronic Press, vol. 3(1), pages 1074-1074. [Downloadable!] (restricted)
  8. Kam Yu, 2008. "Measuring the Output and Prices of the Lottery Sector: An Application of Implicit Expected Utility Theory," NBER Working Papers 14020, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Langlais, Eric, 2008. "Cognitive dissonance, risk aversion and the pretrial negotiation impasse," MPRA Paper 8844, University Library of Munich, Germany. [Downloadable!]
  10. Alaoui, Larbi, 2009. "The value of useless information," MPRA Paper 11411, University Library of Munich, Germany. [Downloadable!]
  11. Matthias Gysler & Jamie Kruse & Renate Schubert, 2002. "Ambiguity and Gender Differences in Financial Decision Making: An Experimental Examination of Competence and Confidence Effects," Economics working paper series 02/23, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich. [Downloadable!]
  12. Nathalie Etchart-Vincent, 2009. "Probability weighting and the ‘level’ and ‘spacing’ of outcomes: An experimental study over losses," Journal of Risk and Uncertainty, Springer, vol. 39(1), pages 45-63, August. [Downloadable!] (restricted)
  13. Eric Langlais, 2008. "Asymmetric information, self-serving bias and the pretrial negotiation impasse," EconomiX Working Papers 2008-30, University of Paris West - Nanterre la Défense, EconomiX. [Downloadable!]
  14. John Payne, 2005. "It is Whether You Win or Lose: The Importance of the Overall Probabilities of Winning or Losing in Risky Choice," Journal of Risk and Uncertainty, Springer, vol. 30(1), pages 5-19, January. [Downloadable!] (restricted)
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