What were you thinking? Decision theory as coherence test
研究在最大最小期望效用准则下,哪些不确定行为评价集合能被单一概率集同时合理化,并与金融基本定理和显示偏好结果建立联系,对委托代理中的决策一致性检验有参考价值。
Decision theory can be used to test the logic of decision making—one may ask whether a given set of decisions can be justified by a decision‐theoretic model. Indeed, in principal–agent settings, such justifications may be required—a manager of an investment fund may be asked what beliefs she used when valuing assets and a government may be asked whether a portfolio of rules and regulations is coherent. In this paper we ask which collections of uncertain‐act evaluations can be simultaneously justified under the maxmin expected utility criterion by a single set of probabilities. We draw connections to the fundamental theorem of finance (for the special case of a Bayesian agent) and revealed‐preference results.