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A note on “Re-examining the law of iterated expectations for Choquet decision makers”

机译:关于“重新审查Choquet决策者的期望期望定律”的注释

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摘要

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”.
机译:本说明通过显示还需要其他条件才能使迭代期望定律适用于Zimper(理论和决策,doi:10.1007 / s11238-010-9221-8,2010),从而完成了Zimper的主要结果。 Choquet决策者。由于Choquet期望的单调可加性,方程E [f,ν(dω)] = E [E [f(ωi,j),ν(A i,j | A i)],ν(A i) ],仅当行为f与它的动态形式共调时才有效,我们将其命名为“条件确定性等效行为”。

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