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Approximate fixed point theorems in Banach spaces with applications in game theory |
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| Authors: | Rodica Brânzei Vincenzo Scalzo |
| Institution: | a Faculty of Computer Science, “Al.I. Cuza” University, 11, Carol I Bd., 6600 Iasi, Romania b Dipartimento di Matematica e Statistica, Universita di Napoli Federico II, via Cinthia, 80126 Napoli, Italy c CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands |
| Abstract: | In this paper some new approximate fixed point theorems for multifunctions in Banach spaces are presented and a method is developed indicating how to use approximate fixed point theorems in proving the existence of approximate Nash equilibria for non-cooperative games. |
| Keywords: | Approximate fixed point Approximate Nash equilibrium Banach space Closed multifunction Upper semicontinuous multifunction |
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