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On the existence of Nash-equilibrium in n-person generalized concave games

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Generalized Convexity

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 405))

Abstract

A slight modification of Ky Fan’s generalized concavity makes it possible to prove the existence of a Nash-equilibrium point for n-person, normal-form noncooperative games. Examples are given to demonstrate that this existence theorem covers areas where sufficient conditions of some other well-known existence theorems fail to hold.

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© 1994 Springer-Verlag Berlin Heidelberg

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Forgó, F. (1994). On the existence of Nash-equilibrium in n-person generalized concave games. In: Komlósi, S., Rapcsák, T., Schaible, S. (eds) Generalized Convexity. Lecture Notes in Economics and Mathematical Systems, vol 405. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46802-5_5

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  • DOI: https://doi.org/10.1007/978-3-642-46802-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57624-2

  • Online ISBN: 978-3-642-46802-5

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