On the completeness of the universal knowledge-belief space: A technical note

Pintér, Miklós (2013) On the completeness of the universal knowledge-belief space: A technical note. International Game Theory Review, 16 (1). pp. 1440006-1. DOI 10.1142/S0219198914400064

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Meier (2008) shows that the universal knowledge-belief space exists. However, besides the universality there is an other important property might be imposed on knowledge- belief spaces, inherited also from type spaces, the completeness. In this paper we introduce the notion of complete knowledge-belief space, and demonstrate that the universal knowledge-belief space is not complete, that is, some subjective beliefs (probability measures) on the universal knowledge-belief space are not knowledge-belief types.

Item Type:Article
Uncontrolled Keywords:belief, knowledge, uncertainty, complete type space, complete knowledge-belief space, universal type space, universal knowledge-belief space, games with incomplete information
JEL classification:C70 - Game Theory and Bargaining Theory: General
C72 - Noncooperative Games
D82 - Information, Knowledge, and Uncertainty: Asymmetric and Private Information - Mechanism Design
D83 - Information, Knowledge, and Uncertainty: Search - Learning - Information and Knowledge - Communication - Belief
Divisions:Faculty of Economics > Department of Mathematics
Subjects:Decision making
Mathematics, Econometrics
Projects:MTA-BCE “Lendület” Stratégiai Interakciók Kutatócsoport
ID Code:1853
Deposited By: Attila Tasnádi
Deposited On:16 Feb 2015 07:57
Last Modified:16 Feb 2015 07:57

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