List-rationalizable choice

• 成果类型: Article
• 署名作者: Yildiz, Kemal
• 署名单位: Ihsan Dogramaci Bilkent University
• 刊物名称: THEORETICAL ECONOMICS
• ISSN/ISSBN: 1933-6837
• DOI: 10.3982/TE1298
• 发表日期: 2016-05-01
• 页码: 587-599
• 关键词: Rationalization; list; choice functions; random choice; path independence; acyclicity

摘要

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.