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Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity

Author

Listed:
  • E. Allevi

    (University of Bergamo)

  • A. Gnudi

    (University of Bergamo)

  • I.V. Konnov

    (Kazan University
    Institute for Informatics Problems)

  • S. Schaible

    (University of California)

Abstract

We consider the Nash equilibrium problem with vector payoffs in a topological vector space. By employing the recent concept of relative (pseudo) monotonicity, we establish several existence results for vector Nash equilibria and vector equilibria. The results strengthen in a major way existence results for vector equilibrium problems which were based on the usual (generalized) monotonicity concepts.

Suggested Citation

  • E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.
    • Handle: RePEc:spr:joptap:v:118:y:2003:i:2:d:10.1023_a:1025491103925
    DOI: 10.1023/A:1025491103925
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    References listed on IDEAS

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    1. I. V. Konnov & S. Schaible, 2000. "Duality for Equilibrium Problems under Generalized Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 104(2), pages 395-408, February.
    2. I. V. Konnov, 2001. "Combined Relaxation Method for Monotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 111(2), pages 327-340, November.
    3. Konnov, I.V. & Schaible, S., 1998. "Duality for Equilibrium Problems," The A. Gary Anderson Graduate School of Management 98-05, The A. Gary Anderson Graduate School of Management. University of California Riverside.
    4. E. Allevi & A. Gnudi & I.V. Konnov, 2004. "Generalized Vector Variational Inequalities over Countable Product of Sets," Journal of Global Optimization, Springer, vol. 30(2), pages 155-167, November.
    5. M. Bianchi & N. Hadjisavvas & S. Schaible, 1997. "Vector Equilibrium Problems with Generalized Monotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 92(3), pages 527-542, March.
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    Cited by:

    1. Luisa Monroy & Amparo M. Mármol & Victoriana Rubiales, 2005. "A bargaining model for finite n-person multi-criteria games," Economic Working Papers at Centro de Estudios Andaluces E2005/21, Centro de Estudios Andaluces.
    2. Annamaria Barbagallo & Stéphane Pia, 2011. "Weighted variational inequalities in non-pivot Hilbert spaces with applications," Computational Optimization and Applications, Springer, vol. 48(3), pages 487-514, April.

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