Abstract
It is wel-known that Nash considered the n-person noncooperative game with each player having finite strategic set and proved the celebrated existence result of Nash equilibrium point (in mixed strategies). This paper investigates the n-person noncooperative game with each player having infinite strategic set. By considering these infinite strategic as complete metric spaces and based on a new finite equilibrium system, we obtain new existence result of Nash equilibrium. Then an algorithm is given to compute Nash equilibrium points and its convergence is proved.
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