Induced Preferences, Nonadditive Beliefs, and Multiple Priors
证明,若决策者能采取不可观测行动影响结果概率,其主观概率对外部观察者而言会呈现非可加性;扩展至两人隐藏行动模型时,可能产生不确定性规避偏好。
We study a decision maker who follows the Savage axioms. We show that if he or she is able to take unobservable actions that influence the probabilities of outcomes, then it can appear to an outsider as if his or her subjective probabilities are nonadditive. Implications for multiperiod decision are explored. We extend the model to include a second individual who is also able to take a hidden action. We show that this may induce uncertainty‐averse preferences over some class of acts, even if the second individual acts to help the decision maker with high probability.