Kernel-based type spaces

• 成果类型: Article
• 署名作者: Grabiszewski, Konrad
• 署名单位: Instituto Tecnologico Autonomo de Mexico
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2010.10.010
• 发表日期: 2010
• 页码: 2483-2495
• 关键词: Universal type spaces; rationalizability; Epistemic game theory

摘要

Type space is of fundamental importance in epistemic game theory. This paper shows how to build type space if players approach the game in a way advocated by Bernheim's justification procedure. If an agent fixes a strategy profile of her opponents and ponders which of their beliefs about her set of strategies make this profile optimal, such an analysis is represented by kernels and yields disintegrable beliefs. Our construction requires that underlying space is Polish. (C) 2010 Elsevier Inc. All rights reserved.