Topology-free typology of beliefs
成果类型：
Article
署名作者：
Heifetz, A
署名单位：
Tel Aviv University; Tel Aviv University
刊物名称：
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN：
0022-0531
DOI：
10.1006/jeth.1998.2435
发表日期：
1998
页码：
324-341
关键词：
摘要：
In their seminal paper, Mertens and Zamir (Int. Game Theory 14 (1985), 1-29) proved the existence of a universal Harsanyi type space which consists of all possible types. Their method of proof depends crucially on topological assumptions. Whether such assumptions are essential to the existence of a universal space remained an open problem. Here we prove that a universal type space does exist even when spaces an defined in pure measure theoretic terms. Heifetz and Samet (mimeo, Tel Aviv University, 1996) showed that coherent hierarchies of beliefs, in the measure theoretic case, do not necessarily describe types. Therefore, the universal space here differs from all previously studied ones, in that it does not necessarily consist of all coherent hierarchies of beliefs. (C) 1998 Academic Press.