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Approximate fixed point theorems in Banach spaces with applications in game theory

Author

Listed:
  • Brânzei, R.

    (Tilburg University, School of Economics and Management)

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

    (Tilburg University, School of Economics and Management)

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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Suggested Citation

  • Brânzei, R. & Morgan, J. & Scalzo, V. & Tijs, S.H., 2003. "Approximate fixed point theorems in Banach spaces with applications in game theory," Other publications TiSEM f5a12e6b-df46-479a-a09c-2, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:f5a12e6b-df46-479a-a09c-2608f8584fba
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    References listed on IDEAS

    as
    1. Lucchetti, R. & Patrone, F. & Tijs, S.H., 1986. "Determinateness of two-person games," Other publications TiSEM 4a235fa8-1864-4937-8b25-5, Tilburg University, School of Economics and Management.
    2. M. B. Lignola, 1997. "Ky Fan Inequalities and Nash Equilibrium Points without Semicontinuity and Compactness," Journal of Optimization Theory and Applications, Springer, vol. 94(1), pages 137-145, July.
    3. Tijs, S.H., 1981. "Nash equilibria for noncooperative n-person games in normal form," Other publications TiSEM 0af39700-5c65-4f49-bdc3-1, Tilburg University, School of Economics and Management.
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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.
    2. Giancarlo Bigi & Lorenzo Lampariello & Simone Sagratella & Valerio Giuseppe Sasso, 2023. "Approximate variational inequalities and equilibria," Computational Management Science, Springer, vol. 20(1), pages 1-16, December.

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