Abstract
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”.
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References
Chateauneuf, A., Kast, R., & Lapied, A. (2001). Conditionning capacities and Choquet integrals: The role of comonotony. Theory and Decision, 51, 367–386.
Epstein, L., & Schneider, M. (2003). Recursive multiple priors. Journal of Economic Theory, 113, 1–31.
Koida, N. (2010). Nest-monotonic two-stage acts and exponential probability capacities. Economic Theory, doi:10.1007/s00199-010-0551-0.
Lapied, A., & Toquebeuf, P. (2010). Atemporal non-expected utility preferences, dynamic consistency and consequentialism. Economics Bulletin, 30, 1661–1669.
Sarin, R., & Wakker, P. (1998). Revealed likelihood and Knightian uncertainty. Journal of Risk and Uncertainty, 16, 223–250.
Yoo, K.R. (1991). The iterative law of expectations and non-additive probability measure. Economics Letters, 37, 145–149.
Zimper, A. (2010). Re-examining the law of iterated expectations for Choquet decision makers. Theory and Decision, doi:10.1007/s11238-010-9221-8.
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Lapied, A., Toquebeuf, P. A note on “Re-examining the law of iterated expectations for Choquet decision makers”. Theory Decis 74, 439–445 (2013). https://doi.org/10.1007/s11238-012-9297-4
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DOI: https://doi.org/10.1007/s11238-012-9297-4