A Simple Axiomatization of Nonadditive Expected Utility
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。
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.