Abstract
In this paper, we present discrete fixed point theorems. They are based on monotonicity of the mapping. We apply them to a non-cooperative n-person game and give an existence theorem of a Nash equilibrium of pure strategies. As a special case, we consider bimatrix games.
Citation
Jun-ichi Sato. Hidefumi Kawasaki. "DISCRETE FIXED POINT THEOREMS AND THEIR APPLICATION TO NASH EQUILIBRIUM." Taiwanese J. Math. 13 (2A) 431 - 440, 2009. https://doi.org/10.11650/twjm/1500405347
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