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Existence theorems of Nash equilibria for non-cooperative \(n\)-person games. (English) Zbl 0837.90126
Summary: We first obtain existence theorems of Nash equilibria for non-cooperative \(n\)-person games which generalize a corresponding result of Nikaido and Isoda (1955). As applications, we give two new existence theorems of \(\varepsilon\)-equilibrium points which generalize that of Tijs (1981). Finally, a saddle point theorem of Komiya (1986) is deduced from one of our existence theorems of \(\varepsilon\)-equilibrium points.

MSC:
91A10 Noncooperative games
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