A Tailor-Made Test of Intransitive Choice
We performed a new test of transitivity based on individual measurements of the main intransitive choice models in decision under uncertainty. Our test is tailor-made and, therefore, more likely to detect violations of transitivity than previous tests. In spite of this, we observed only few intransitivities and we could not reject the hypothesis that these were due to random error. A possible explanation for the poor predictive performance of the intransitive choice models is that they only allow for interactions between acts, but exclude within-act interactions by retaining the assumption that preferences are separable overstates of nature. Prospect theory, which relaxes separability but retains transitivity, predicted choices significantly better than the nontransitive choice models. We conclude that descriptively realistic models need to allow for within-act interactions, but may retain transitivity. Subject classifications: Utility/preference: Estimation. Decision analysis: Risk. Area of review: Decision Analysis.
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- 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.
- John C. Hershey & Paul J. H. Schoemaker, 1985. "Probability Versus Certainty Equivalence Methods in Utility Measurement: Are they Equivalent?," Management Science, INFORMS, vol. 31(10), pages 1213-1231, October.
- Bouyssou, Denis, 1986. "Some remarks on the notion of compensation in MCDM," European Journal of Operational Research, Elsevier, vol. 26(1), pages 150-160, July.
- Loomes, Graham & Sugden, Robert, 1987. "Some implications of a more general form of regret theory," Journal of Economic Theory, Elsevier, vol. 41(2), pages 270-287, April.
- John Leland, 2010.
"Generalized Similarity Judgments: An Alternative Explanation for Choice Anomalies,"
Levine's Working Paper Archive
7644, David K. Levine.
- Leland, Jonathan W, 1994. "Generalized Similarity Judgments: An Alternative Explanation for Choice Anomalies," Journal of Risk and Uncertainty, Springer, vol. 9(2), pages 151-72, October.
- Han Bleichrodt & Jose Luis Pinto, 2000. "A Parameter-Free Elicitation of the Probability Weighting Function in Medical Decision Analysis," Management Science, INFORMS, vol. 46(11), pages 1485-1496, November.
- Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-39, March.
- Henry Stott, 2006. "Cumulative prospect theory's functional menagerie," Journal of Risk and Uncertainty, Springer, vol. 32(2), pages 101-130, March.
- Han Bleichrodt & Jose Luis Pinto & Peter P. Wakker, 2001. "Making Descriptive Use of Prospect Theory to Improve the Prescriptive Use of Expected Utility," Management Science, INFORMS, vol. 47(11), pages 1498-1514, November.
- Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
- Han Bleichrodt & Alessandra Cillo & Enrico Diecidue, 2010. "A Quantitative Measurement of Regret Theory," Management Science, INFORMS, vol. 56(1), pages 161-175, January.
- Jonathan W. Leland, 1998. "Similarity Judgments in Choice Under Uncertainty: A Reinterpretation of the Predictions of Regret Theory," Management Science, INFORMS, vol. 44(5), pages 659-672, May.
- Caspar Chorus, 2011. "Random Regret Minimization: An Overview of Model Properties and Empirical Evidence," Transport Reviews, Taylor & Francis Journals, vol. 32(1), pages 75-92, July.
- Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
- Rubinstein, Ariel, 1988. "Similarity and decision-making under risk (is there a utility theory resolution to the Allais paradox?)," Journal of Economic Theory, Elsevier, vol. 46(1), pages 145-153, October.
- Fishburn, Peter C., 1990. "Skew symmetric additive utility with finite states," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 103-115, April.
- David E. Bell, 1983. "Risk Premiums for Decision Regret," Management Science, INFORMS, vol. 29(10), pages 1156-1166, October.
- Iverson, G. & Falmagne, J. -C., 1985. "Statistical issues in measurement," Mathematical Social Sciences, Elsevier, vol. 10(2), pages 131-153, October.
- Michael Birnbaum & Ulrich Schmidt, 2010. "Testing transitivity in choice under risk," Theory and Decision, Springer, vol. 69(4), pages 599-614, October.
- Graham Loomes, 2005. "Modelling the Stochastic Component of Behaviour in Experiments: Some Issues for the Interpretation of Data," Experimental Economics, Springer, vol. 8(4), pages 301-323, December.
- Humphrey, Steven J, 2001. " Are Event-Splitting Effects Actually Boundary Effects?," Journal of Risk and Uncertainty, Springer, vol. 22(1), pages 79-93, January.
- 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.
- Amos Tversky & Daniel Kahneman, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Levine's Working Paper Archive
7656, David K. Levine.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- 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.
- Humphrey, Steven J, 1995. "Regret Aversion or Event-Splitting Effects? More Evidence under Risk and Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 263-74, December.
- Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-24, December.
- Starmer, Chris & Sugden, Robert, 1993. " Testing for Juxtaposition and Event-Splitting Effects," Journal of Risk and Uncertainty, Springer, vol. 6(3), pages 235-54, June.
- Swait, Joffre & Adamowicz, Wiktor, 2001. " The Influence of Task Complexity on Consumer Choice: A Latent Class Model of Decision Strategy Switching," Journal of Consumer Research, University of Chicago Press, vol. 28(1), pages 135-48, June.
- Michael H. Birnbaun & Ulrich Schmidt, 2008.
"An Experimental Investigation of Violations of Transitivity in Choice under Uncertainty,"
Kiel Working Papers
1396, Kiel Institute for the World Economy.
- Michael Birnbaum & Ulrich Schmidt, 2008. "An experimental investigation of violations of transitivity in choice under uncertainty," Journal of Risk and Uncertainty, Springer, vol. 37(1), pages 77-91, August.
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