List-rationalizable choice
研究了选择函数是否可由固定列表通过依次比较来理性化,并将该概念扩展到随机选择场景,通过路径独立性的非循环性给出充要条件,对确定性选择函数也有推论。
A choice function is list rational(izable) if there is a fixed list such that for each choice set, successive comparison of the alternatives by following the list retrieves the chosen alternative. We extend the formulation of list rationality to stochastic choice setup. We say two alternatives are related if the stochastic path independence condition is violated between these alternatives. We show that a random choice function is list rational if and only if this relation is acyclic. Our characterization for deterministic choice functions follows as a corollary. By using this characterization, we relate list rationality to two-stage choice procedures. © 2016 The Econometric Society.