The transitive core: Inference of welfare from nontransitive preference relations
研究了当观测到的选择数据因决策错误而显示非传递偏好时,如何推断决策者的真实偏好关系,提出并刻画了唯一合理的推断规则“传递核”,并将其应用于半序、相对贴现、模糊行为、遗憾偏好和多数投票等模型。
In this paper, we study methods of inferring a decision maker's true preference relation when observed choice data reveal a nontransitive preference relation due to choice mistakes. We propose some sensible properties of such methods and show that these properties characterize a unique rule of inference, called the transitive core. This rule is applied to a variety of nontransitive preference models, such as semiorders on the commodity space, relative discounting time preferences, justifiable preferences over ambiguous acts, regret preferences over risky prospects, and collective preferences induced by majority voting. We show that the transitive core offers a nontrivial and reasonable inference of the decision maker's true preference relation in these contexts.