Weak topology and infinite matrix games

This paper approaches infinite matrix games through the weak topology on the players' sets of strategies. A new class of semi-infinite and infinite matrix games is defined, and it is proved that these games always have a value and optimal strategies for each player. Using these games it is proved that some other important classes of infinite matrix game also have values.

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Year of publication:	1998-08-31
Authors:	Mendez-Naya, Luciano
Published in:	International Journal of Game Theory. - Springer. - Vol. 27.1998, 2, p. 219-229
Publisher:	Springer
Subject:	Infinite matrix games \| value \| optimal strategies \| weak topology

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Extent:	application/pdf
Type of publication:	Article
Notes:	Received April 1996/Revised version June 1997/Final version September 1997
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005755720