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Equilibria of Parametrized N-Player Nonlinear Games Using Inequalities and Nonsmooth Dynamics

In: Computational Mathematics and Variational Analysis

Author

Listed:
  • Monica G. Cojocaru

    (University of Guelph)

  • Fatima Etbaigha

    (University of Guelph)

Abstract

In this paper we present a combination of theoretical and computational results meant to give insights into the question of existence of non-unique Nash equilibria for N-players nonlinear games. Our inquiries make use of the theory of variational inequalities and projected systems to highlight cases where multiplayer Nash games with parametrized payoffs exhibit changes in the number of Nash equilibria, depending on given parameter values.

Suggested Citation

  • Monica G. Cojocaru & Fatima Etbaigha, 2020. "Equilibria of Parametrized N-Player Nonlinear Games Using Inequalities and Nonsmooth Dynamics," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Computational Mathematics and Variational Analysis, pages 33-53, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-44625-3_3
    DOI: 10.1007/978-3-030-44625-3_3
    as

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