非可加期望效用的一个简单公理化

A Simple Axiomatization of Nonadditive Expected Utility

Econometrica · 1992
被引 229
人大 A+FT50ABS 4*

中文导读

扩展了Savage的主观期望效用理论,允许事件概率可加或不可加,通过累积占优公理推导出Choquet期望效用表示,并探讨了与Schmeidler方法的关系。

Abstract

This paper provides an extension of Savage's subjective expected utility theory for decisions under uncertainty. It includes in the set of events both unambiguous events for which probabilities are additive as well as ambiguous events for which probabilities are permitted to be nonadditive. The main axiom is cumulative dominance which adapts stochastic dominance to decision making under uncertainty. We derive a Choquet expected utility representation and show that a modification of cumulative dominance leads to the classical expected utility representation. The relationship of our approach with that of Schmeidler who uses a two-stage formulation to derive Choquet expected utility is also explored.

非可加期望效用Choquet期望效用累积占优主观期望效用