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Weak topology and infinite matrix games

Author

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  • Luciano Mendez-Naya

    (Department of Econometrics, University of Santiago de Compostela, 15704 Santiago de Compostela, Spain.)

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.

Suggested Citation

  • Luciano Mendez-Naya, 1998. "Weak topology and infinite matrix games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 219-229.
    • Handle: RePEc:spr:jogath:v:27:y:1998:i:2:p:219-229
    Note: Received April 1996/Revised version June 1997/Final version September 1997
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    Cited by:

    1. Luciano Méndez-Naya, 2001. "On the Value of Some Infinite Matrix Games," Mathematics of Operations Research, INFORMS, vol. 26(1), pages 82-88, February.

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