Weak topology and infinite matrix games

被引:0
作者
Luciano Mendez-Naya
机构
[1] Department of Econometrics,
[2] University of Santiago de Compostela,undefined
[3] 15704 Santiago de Compostela,undefined
[4] Spain. (e-mail: eclmn1@wsc.es),undefined
来源
International Journal of Game Theory | 1998年 / 27卷
关键词
Key words: Infinite matrix games; value; optimal strategies; weak topology;
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摘要
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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页码:219 / 229
页数:10
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