The limits of identification in discrete choice

• 成果类型: Article
• 署名作者: Chambers, Christopher P.; Turansick, Christopher
• 署名单位: Georgetown University; Bocconi University; Bocconi University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2025.02.006
• 发表日期: 2025
• 页码: 537-551
• 关键词: Random utility; stochastic choice; identification

摘要

This paper uncovers tight bounds on the number of preferences permissible in identified random utility models. We show that as the number of alternatives in a discrete choice model becomes large, the fraction of preferences admissible in an identified model rapidly tends to zero. We propose a novel sufficient condition ensuring identification, which is strictly weaker than some of those existing in the literature. While this sufficient condition reaches our upper bound, an example demonstrates that this condition is not necessary for identification. Using our new condition, we show that the classic Latin Square example from social choice theory is identified from stochastic choice data.