加权效用与乐观/悲观:各种随机优势排序的决策理论基础

Taoli Wang, Ehud Lehrer
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摘要

我们证明,当且仅当对每个加权效用函数而言,前者比后者更受青睐时,概率分布的似然比才会支配另一种分布。同样,当且仅当每个乐观(或悲观)的决策者都倾向于前者时,概率分布危险率(或反向危险率)才会支配另一种分布。(JEL D11, D83)
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Weighted Utility and Optimism/Pessimism: A Decision-Theoretic Foundation of Various Stochastic Dominance Orders
We show that a probability distribution likelihood ratio dominates another distribution if and only if, for every weighted utility function, the former is preferred over the latter. Likewise, a probability distribution hazard rate (or reverse hazard rate) dominates another distribution if and only if, the former is preferred by every optimistic (or pessimistic) decision maker. (JEL D11, D83)
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