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Infinite Player Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity |
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| Authors: | E Allevi A Gnudi I V Konnov S Schaible |
| Institution: | (1) Department of Quantitative Methods, Brescia University, Contrada Santa Chiara, 50, Brescia, 25122, Italy;(2) Department of Mathematics, Statistics, Informatics and Applications, Bergamo University, Via dei Caniana, 2, Bergamo, 24127, Italy;(3) Department of Applied Mathematics, Kazan University, ul. Kremlevskaya, 18, Kazan, 420008, Russia;(4) A.G.Anderson Graduate School of Management, University of California, Riverside, CA 92521, USA |
| Abstract: | In this paper we consider the Nash equilibrium problem for infinite player games with vector payoffs in a topological vector space setting. By employing new concepts of relative (pseudo)monotonicity, we establish several existence results of solutions for usual and normalized vector equilibria. The results strengthen existence results for vector equilibrium problems, which were based on classical pseudomonotonicity concepts. They also extend previous results for vector variational inequalities and finite player games under relative (pseudo)monotonicity. |
| Keywords: | existence results infinite player games Nash equilibria relative pseudomono- tonicity vector payoffs |
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