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.
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Received April 1996/Revised version June 1997/Final version September 1997
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Mendez-Naya, L. Weak topology and infinite matrix games. Game Theory 27, 219–229 (1998). https://doi.org/10.1007/s001820050068
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DOI: https://doi.org/10.1007/s001820050068