Universal type structures with unawareness

• 成果类型: Article
• 署名作者: Heinsalu, Sander
• 署名单位: Yale University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2013.11.012
• 发表日期: 2014
• 页码: 255-266
• 关键词: Unawareness; Universal type structure; awareness; belief; uncertainty

摘要

Infinite hierarchies of awareness and beliefs arise in games with unawareness, similarly to belief hierarchies in standard games. A natural question is whether each hierarchy describes the player's awareness of the hierarchies of other players and beliefs over these, or whether the reasoning can continue indefinitely. This paper constructs the universal type structure with unawareness where each type has an awareness level and a belief over types. Countable hierarchies are therefore sufficient to describe all uncertainty in games with unawareness. (C) 2013 Elsevier Inc. All rights reserved.