Admissibility and assumption

• 成果类型: Article
• 署名作者: Lee, Byung Soo
• 署名单位: University of Toronto
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2016.01.006
• 发表日期: 2016
• 页码: 42-72
• 关键词: Lexicographic probability system; higher-order beliefs; coherence; Iterated admissibility; Epistemic game theory

摘要

Brandenburger et al. (2008) defined the epistemic condition rationality and common assumption of rationality (RCAR) in lexicographic type structures. We define RCAR in the space of coherent lexicographic belief hierarchies and show that it is an epistemic condition for iterated admissibility. We also show that some coherent lexicographic belief hierarchies cannot be represented as types in lexicographic type structures. An advantage of this approach is that RCAR is possible in a canonical hierarchy space. (C) 2016 Elsevier Inc. All rights reserved.