Topology-Free Typology of Beliefs
AbstractIn their seminal paper, Mertens and Zamir (1985) 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. We answer it here by proving that a universal type space does exist even when spaces are defined in pure measure theoretic terms. Heifetz and Samet (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.
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Bibliographic InfoPaper provided by EconWPA in its series Game Theory and Information with number 9609002.
Length: 17 pages
Date of creation: 17 Sep 1996
Date of revision: 17 Sep 1996
Note: Type of Document - dvi ps; prepared on UNIX TeX; pages: 17
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Harsanyi types; Universal type spaces;
Other versions of this item:
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D8 - Microeconomics - - Information, Knowledge, and Uncertainty
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