Abstract
If a bimatrix game is zero-sum, then the pay-off of both players is completely determined by the pay-off matrix of one of the players, say by that of player I. Denote by A player I’s pay-off matrix. Then player II’s pay-off is — A. For convenience we will always look at a matrix game from player I’s point of view, i.e., the entries of matrix A will denote his “gains” and player II’s “losses” for pure strategy pairs. Just as we did for bimatrix games we are going to concentrate on the mixed extension of the matrix game A. Unless otherwise indicated when speaking of a matrix game we think of its mixed extension.
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© 1985 Akadémiai Kiadó, Budapest, Hungary
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Szép, J., Forgó, F. (1985). Matrix games. In: Introduction to the Theory of Games. Mathematics and Its Applications, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5193-8_9
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DOI: https://doi.org/10.1007/978-94-009-5193-8_9
Publisher Name: Springer, Dordrecht
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