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An Experimental Investigation of Violations of Transitivity in Choice under Uncertainty

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Author Info
Michael H. Birnbaun
Ulrich Schmidt

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Abstract

Several models of choice under uncertainty imply systematic violations of transitivity of preference. Our experiments explored whether people show patterns of intransitivity predicted by these models. To distinguish “true” violations from those produced by “error,” a model was fit in which each choice can have a different error rate and each person can have a different pattern of true preferences that does not need to be transitive. Error rate for a choice is estimated from preference reversals between repeated presentations of the same choice. Our results showed that very few people repeated intransitive patterns. We can retain the hypothesis that transitivity best describes the data of the vast majority of participants.

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Paper provided by Kiel Institute for the World Economy in its series Kiel Working Papers with number 1396.

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Length: 31 pages
Date of creation: Jan 2008
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Handle: RePEc:kie:kieliw:1396

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Keywords: decision making errors regret theory transitivity

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Find related papers by JEL classification:
C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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  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. Loomes, Graham & Taylor, Caron, 1992. "Non-transitive Preferences over Gains and Losses," Economic Journal, Royal Economic Society, vol. 102(411), pages 357-65, March. [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. Fishburn, Peter C, 1991. " Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-34, April.
  5. Hey, John D & Orme, Chris, 1994. "Investigating Generalizations of Expected Utility Theory Using Experimental Data," Econometrica, Econometric Society, vol. 62(6), pages 1291-1326, November. [Downloadable!] (restricted)
  6. Birnbaum, Michael H & Navarrete, Juan B, 1998. "Testing Descriptive Utility Theories: Violations of Stochastic Dominance and Cumulative Independence," Journal of Risk and Uncertainty, Springer, vol. 17(1), pages 49-78, October. [Downloadable!] (restricted)
  7. Loomes, Graham & Starmer, Chris & Sugden, Robert, 1989. "Preference Reversal: Information-Processing Effect or Rational Non-transitive Choice?," Economic Journal, Royal Economic Society, vol. 99(395), pages 140-51, Supplemen. [Downloadable!] (restricted)
  8. Humphrey, Steven J, 2001. "Non-Transitive Choice: Event-Splitting Effects or Framing Effects?," Economica, London School of Economics and Political Science, vol. 68(269), pages 77-96, February. [Downloadable!] (restricted)
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  16. 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)
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  18. Starmer, Chris & Sugden, Robert, 1998. "Testing Alternative Explanations of Cyclical Choices," Economica, London School of Economics and Political Science, vol. 65(259), pages 347-61, August. [Downloadable!] (restricted)
  19. Peter Fishburn, 1980. "A simple model for the utility of gambling," Psychometrika, Springer, vol. 45(4), pages 435-448, December. [Downloadable!] (restricted)
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  22. Viscusi, W Kip, 1989. " Prospective Reference Theory: Toward an Explanation of the Paradoxes," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 235-63, September.
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