A canon of probabilistic rationality

• 成果类型: Article
• 署名作者: Cerreia-Vioglio, Simone; Lindberg, Per Olov; Maccheroni, Fabio; Marinacci, Massimo; Rustichini, Aldo
• 署名单位: Bocconi University; Bocconi University; Royal Institute of Technology; University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2021.105289
• 发表日期: 2021
• 关键词: Random choice; Weak axiom of revealed preferences; Choice axiom

摘要

We prove that a random choice rule satisfies Luce's Choice Axiom if and only if its support is a choice correspondence that satisfies the Weak Axiom of Revealed Preference, thus it consists of alternatives that are optimal according to some preference, and then random choice occurs according to a tie-breaking mechanism among such alternatives that satisfies Renyi's Conditioning Axiom. Our result shows that the Choice Axiom is, in a precise formal sense, a probabilistic version of the Weak Axiom. It thus supports Luce's view of his own axiom as a canon of probabilistic rationality. (c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).