A note on “Re-examining the law of iterated expectations for Choquet decision makers”
This note completes the main result of Zimper (Theory and decision, doi: 10.1007/s11238-010-9221-8 , 2010 ), by showing that additional conditions are needed in order the law of iterated expectations to hold true for Choquet decision makers. Due to the comonotonic additivity of Choquet expectations, the equation E[f, ν(dω)]=E[E[f(ω i, j ), ν(A i, j |A i )], ν(A i )], is valid only when the act f is comonotonic with its dynamic form, that we name “conditional certainty equivalent act”. Copyright Springer Science+Business Media New York 2013
Volume (Year): 74 (2013)
Issue (Month): 3 (March)
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- André Lapied & Pascal Toquebeuf, 2010. "Atemporal non-expected utility preferences, dynamic consistency and consequentialism," Economics Bulletin, AccessEcon, vol. 30(2), pages 1661-1669.
- 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.
- Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
- Alexander Zimper, 2011. "Re-examining the law of iterated expectations for Choquet decision makers," Theory and Decision, Springer, vol. 71(4), pages 669-677, October.
- Nobuo Koida, 2012. "Nest-monotonic two-stage acts and exponential probability capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 99-124, May.
- Alain Chateauneuf & Robert Kast & AndrÃ© Lapied, 2001. "Conditioning Capacities and Choquet Integrals: The Role of Comonotony," Theory and Decision, Springer, vol. 51(2), pages 367-386, December.
- Yoo, Keuk-Ryoul, 1991. "The iterative law of expectation and non-additive probability measure," Economics Letters, Elsevier, vol. 37(2), pages 145-149, October. Full references (including those not matched with items on IDEAS)