Iterated Expectations under Rank-Dependent Expected Utility and Model Consistency
Under expected utility theory, compound lotteries can be valued by "iterating" expectations: the expected utility of a compound lottery is the expected value of a simple lottery over prizes that are certainty equivalents to follow-up lotteries. We derive necessary and sufficient conditions for a similar valuation technique in the framework of rank-dependent expected utility (RDU) when a decision maker has to choose between prospects that belong to a comonotonic class and his preferences satisfy consequentialism. The conditions are so restrictive that they can be viewed as an impossibility result. Our contribution thus identifies a challenge for future research. If we accept RDU as the model of behavior, we either need to find alternative valuation algorithms, or we need to relax the assumption of preference exogeneity.
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- Gilboa Itzhak & Schmeidler David, 1993.
"Updating Ambiguous Beliefs,"
Journal of Economic Theory,
Elsevier, vol. 59(1), pages 33-49, February.
- Itzhak Gilboa & David Schmeidler, 1991. "Updating Ambiguous Beliefs," Discussion Papers 924, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Itzhak Gilboa & David Scheidler, 1993. "Updating Ambiguous Beliefs," Post-Print hal-00753150, HAL.
- 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.
- Sarin, Rakesh & Wakker, Peter P, 1998. "Revealed Likelihood and Knightian Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 16(3), pages 223-250, July-Aug..
- Sarin, R. & Wakker, P.P., 1996. "Revealed likelihood and knightian uncertainty," Discussion Paper 1996-59, Tilburg University, Center for Economic Research.
- Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
- Wakker, Peter & Tversky, Amos, 1993. "An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-175, October. Full references (including those not matched with items on IDEAS)
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