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Uniform Continuity of the Value of Zero-Sum Games with Differential Information

Ezra Einy, Ori Haimanko, Diego Moreno () and Benyamin Shitovitz

No 2007-02, Discussion Papers from Graduate School of Economics, Hitotsubashi University

Abstract: We establish uniform continuity of the value for zero-sum games with differential information, when the distance between changing information fields of each player is measured by the Boylan (1971) pseudo-metric. We also show that the optimal strategy correspondence is upper semi-continuous when the information fields of players change (even with the weak topology on players' strategy sets), and is approximately lower semi-continuous.

Keywords: Zero-Sum Games; Differential Information; Value; Op-timal Strategies; Uniform Continuity (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Pages: 18 p.
Date: 2007-04
Note: Revised version of Discussion Paper # 04-04 of Monaster Center for Economic Research, Ben-Gurion University of the Negev.
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http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/16956/1/070econDP07-02.pdf

Related works:
Journal Article: Uniform Continuity of the Value of Zero-Sum Games with Differential Information (2008) Downloads
Working Paper: Uniform continuity of the value of zero-sum games with differential information (2004) Downloads
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