Abstract
The Becker-DeGroot-Marschak mechanism is widely used to elicit decision makers' selling prices of lotteries. This mechanism leads, however, to the preference reversal phenomenon, which seemed to indicate nontransitive preferences. To solve this puzzle, Karni and Safra (1987) introduced a new interpretation of this mechanism based on two-stage lotteries without the independence axiom. In this article, we suggest a set of empirically testable hypotheses based on their interpretation of the mechanism. One of these tests can be used to find the utility and the probability transformation functions of an anticipated utility maximizer.
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References
Becker, Gordon M., Morris, H. DeGroot, and Jacob, Marschak. (1964). “Measuring Utility by a Single-Response Sequential Method,” Behavioral Science 9, 226–232.
Chew, Soo Hong. (1985). “From Strong Substitution to Very Weak Substitution: Implicit Weighted Utility and Semi-Weighted Utility,” mimeo.
Chew, Soo Hong, Edi, Karni, and Zvi, Safra. (1987). “Risk Aversion in the Theory of Expected Utility with Rank Dependent Probabilities,” Journal of Economic Theory 42, 370–381.
Dekel, Eddie. (1986). “An Axiomatic Characterization of Preferences under Uncertainty: Weakening the Independence Axiom,” Journal of Economic Theory 40, 304–318.
Grether, David M., and Charles R. Plott. (1979). “Economic Theory of Choice and the Preference Reversal Phenomenon,” American Economic Review 69, 623–638.
Holt, Charles A. (1986). “Preference Reversal and the Independence Axiom,” American Economic Review 76, 508–515.
Karni, Edi, and Zvi Safra. (1987). “‘Preference Reversal’ and the Observability of Preferences by Experimental Methods,” Econometrica 55, 675–685.
Karni, Edi, and Zvi Safra. (1988). “Rank Dependent Probabilities,” Economic Journal, forthcoming.
Lichtenstein, Sarah, and Paul Slovic. (1971). “Reversals of Preferences Between Bids and Choices in Gambling Decisions,” Journal of Experimental Psychology 89, 46–55.
Machina, Mark J. (1982). “‘Expected Utility’ Analysis Without the Independence Axiom,” Econometrica 50, 277–323.
Quiggin, John. (1982). “A Theory of Anticipated Utility,” Journal of Economic Behavior and Organization 3, 323–343.
Safra, Zvi, Uzi Segal, and Avia Spivak. (1988). “Preference Reversals and Nonexpected Utility Behavior,” University of Toronto WP #88-13.
Segal, Uzi. (1987). “Some Remarks on Quiggin's Anticipated Utility,” Journal of Economic Behavior and Organization 8, 145–154.
Segal, Uzi. (1988). “Does the Preference Reversal Phenomenon Necessarily Contradict the Independence Axiom?” American Economic Review 78, 233–236.
Yaari, Monahem E. (1987). “The Dual Theory of Choice Under Risk,” Econometrica 55, 95–115.
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This article consists of an earlier paper with a similar title (University of Toronto WP #8809) and the paper “Elicitation of Certainty Equivalents and the Becker-DeGroot-Marschak Mechanism.”
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Safra, Z., Segal, U. & Spivak, A. The Becker-DeGroot-Marschak mechanism and nonexpected utility: A testable approach. J Risk Uncertainty 3, 177–190 (1990). https://doi.org/10.1007/BF00056371
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DOI: https://doi.org/10.1007/BF00056371