''Knowing whether,'' ''knowing that,'' and the cardinality of state spaces
成果类型：
Article
署名作者：
Hart, S; Heifetz, A; Samet, D
署名单位：
Hebrew University of Jerusalem; Hebrew University of Jerusalem; Universite Catholique Louvain; Tel Aviv University; Tel Aviv University
刊物名称：
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN：
0022-0531
DOI：
10.1006/jeth.1996.0084
发表日期：
1996
页码：
249-256
关键词：
摘要：
We introduce a new knowledge operator called ''knowing whether.'' Knowing whether an event occurred means either knowing that it occurred or knowing that it did not occur. We demonstrate the following difference between ''knowing whether'' and ''knowing that.'' In a multiple agent model, a sequence of events generated by successively applying ''knowing that'' operators, or their negations, may be contradictory. But when ''knowing whether'' operators are used instead, the sequence is never contradictory. Using this property of the ''knowing whether'' operator we construct a multiple agent model with a continuum of knowledge states. This simplifies such a construction due to Aumann [1]. Journal of Economic Literature Classification Number: D80. (C) 1996 Academic Press. inc.