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Approximate Fixed Point Theorems in Banach Spaces with Applications in Game Theory

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Author Info

  • Brânzei, R.
  • Morgan, J.
  • Scalzo, V.
  • Tijs, S.H.

    (Tilburg University, Center for Economic Research)

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.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2002-17.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200217

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Web page: http://center.uvt.nl

Related research

Keywords: Nash equilibrium; noncooperative games;

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  1. Lucchetti, R. & Patrone, F. & Tijs, S.H., 1986. "Determinateness of two-person games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154257, Tilburg University.
  2. Tijs, S.H. & Torre, A. & Brânzei, R., 2001. "Approximate Fixed Point Theorems," Discussion Paper 2001-55, Tilburg University, Center for Economic Research.
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Cited by:
  1. Vincenzo Scalzo, 2005. "Approximate social nash equilibria and applications," Quaderni DSEMS 03-2005, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.

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