When do type structures contain all hierarchies of beliefs?
成果类型：
Article
署名作者：
Friedenberg, Amanda
署名单位：
Arizona State University; Arizona State University-Tempe
刊物名称：
GAMES AND ECONOMIC BEHAVIOR
ISSN/ISSBN：
0899-8256
DOI：
10.1016/j.geb.2009.05.005
发表日期：
2010
页码：
108-129
关键词：
摘要：
Hierarchies of beliefs play a central role in game theory. In practice, they are modeled by type structures. This allows the analyst to describe hierarchies without explicitly specifying an infinite sequence of beliefs. The focus of this paper is type structures that contain all hierarchies of beliefs. Can the analyst identify these structures without explicit reference to hierarchies? That is, does there exist a test, defined on the type structure alone, so that the structure passes this test only if it contains all hierarchies of beliefs? This paper investigates one such test. The test is based on the concept of completeness [Brandenburger, A., 2003. On the existence of a 'complete' possibility structure. In: Basili, M., Dimitri, N., Gilboa, I. (Eds.), Cognitive Processes and Economic Behavior. Routledge, pp. 30-34], a concept that has played an important role in epistemic game theory. (C) 2009 Elsevier Inc. All rights reserved.
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