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  1. Conditioning Capacities and Choquet Integrals: The Role of Comonotony.Alain Chateauneuf, Robert Kast & André Lapied - 2001 - Theory and Decision 51 (2/4):367-386.
    Choquet integrals and capacities play a crucial role in modern decision theory. Comonotony is a central concept for these theories because the main property of a Choquet integral is its additivity for comonotone functions. We consider a Choquet integral representation of preferences showing uncertainty aversion (pessimism) and propose axioms on time consistency which yield a candidate for conditional Choquet integrals. An other axiom characterizes the role of comonotony in the use of information. We obtain two conditioning rules for capacities which (...)
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  • Re-examining the law of iterated expectations for Choquet decision makers.Alexander Zimper - 2011 - Theory and Decision 71 (4):669-677.
    Yoo (Economic Letters 37:145–149, 1991) argues that the law of iterated expectations must be violated if the probability measure of a Choquet decision maker is non-additive. In this article, we prove the positive result that the law of iterated expectations is satisfied for Choquet decision makers whenever they update their non-additive beliefs in accordance with the Sarin and Wakker (Journal of Risk and Uncertainty 16:223–250, 1998) update rule. The formal key to this result is the act-dependence of the Sarin–Wakker update (...)
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