Weak topology and infinite matrix games

Luciano Mendez-Naya ()
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Luciano Mendez-Naya: Department of Econometrics, University of Santiago de Compostela, 15704 Santiago de Compostela, Spain.

International Journal of Game Theory, 1998, vol. 27, issue 2, 219-229

Abstract: 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.

Keywords: Infinite; matrix; games; ·; value; ·; optimal; strategies; ·; weak; topology (search for similar items in EconPapers)
Date: 1998-08-31
Note: Received April 1996/Revised version June 1997/Final version September 1997
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