An epistemic analysis of dynamic games with unawareness

• 成果类型: Article
• 署名作者: Guarino, Pierfrancesco
• 署名单位: University of Klagenfurt
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2019.10.006
• 发表日期: 2020
• 页码: 257-288
• 关键词: Dynamic exogenous unawareness structure; Conditional probability systems; Canonical hierarchical structure; dynamic games; Strong rationalizability; Strong belief

摘要

We introduce a novel framework to describe dynamic interactive reasoning in presence of unawareness. We extend the notion of conditional probability systems for this setting and we perform the construction of the corresponding canonical hierarchical structure, that is, the structure that contains all coherent infinite hierarchies of beliefs in presence of unawareness and conditioning events, which is an extension of the one constructed in Battigalli and Siniscalchi (1999a). Relying on the existence of this object, we provide an epistemic characterization of Strong Rationalizability of Pearce (1984) as defined in Heifetz et al. (2013) to address the case of dynamic games with unawareness. The characterization is based on the notion of Strong Belief, introduced in the literature by Battigalli and Siniscalchi (2002). (C) 2019 Elsevier Inc. All rights reserved.