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Existence theorems of nash equilibria for non-cooperative n-person games |
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| Authors: | Kok-Keong Tan Jian Yu Xian-Zhi Yuan |
| Affiliation: | 1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 3J5, Halifax, Nova Scotia, Canada 2. Institute of Applied Mathematics, Guizhou Institute of Technology, 550003, Guiyang, Guizhou, China 3. Department of Mathematics, University of Queensland, 4072, Brisbane, Queensland, Australia |
| Abstract: | In this paper, 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  -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 -equilibrium points. |
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