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Existence Theorems of Nash Equilibria for Non-cooperative N-Person Games

Author

Listed:
  • Tan, Kok-Keong
  • Yu, Jian
  • Yuan, Xian-Zhi

Abstract

In this paper, we first obtain existence theorems of Nash equilibria for non-cooperative "n"- person games which generalize a corresponding result of Nikaido and Isoda (1955). As applications, we give two new existence theorems of [epsilon]-equilibrium points which generalize that of Tijs (1981). Finally, a saddle point theorem of Komiya (1986) is deduced from one of our existence theorems of [epsilon]-equilibrium points.

Suggested Citation

  • Tan, Kok-Keong & Yu, Jian & Yuan, Xian-Zhi, 1995. "Existence Theorems of Nash Equilibria for Non-cooperative N-Person Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 217-222.
    • Handle: RePEc:spr:jogath:v:24:y:1995:i:3:p:217-22
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    Cited by:

    1. Oriol Carbonell-Nicolau & Efe Ok, 2004. "Multidimensional income taxation and electoral competition: an equilibrium analysis," Departmental Working Papers 200407, Rutgers University, Department of Economics.
    2. Ziad, Abderrahmane, 1997. "Pure-Strategy [epsiv]-Nash Equilibrium inn-Person Nonzero-Sum Discontinuous Games," Games and Economic Behavior, Elsevier, vol. 20(2), pages 238-249, August.
    3. Carbonell-Nicolau, Oriol & Ok, Efe A., 2007. "Voting over income taxation," Journal of Economic Theory, Elsevier, vol. 134(1), pages 249-286, May.
    4. Ziad, Abderrahmane, 1999. "Pure strategy Nash equilibria of non-zero-sum two-person games: non-convex case," Economics Letters, Elsevier, vol. 62(3), pages 307-310, March.
    5. Oksana Loginova, 2022. "Price competition online: Platforms versus branded websites," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 31(2), pages 259-283, April.
    6. Jiarui Gan & Minbiao Han & Jibang Wu & Haifeng Xu, 2023. "Robust Stackelberg Equilibria," Papers 2304.14990, arXiv.org, revised Oct 2023.
    7. Anton Stefanescu & Massimiliano Ferrara & Maria Viorica Stefanescu, 2012. "Equilibria of the Games in Choice Form," Journal of Optimization Theory and Applications, Springer, vol. 155(3), pages 1060-1072, December.
    8. von Mouche, Pierre & Szidarovszky, Ferenc, 2024. "Aggregative games with discontinuous payoffs at the origin," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 77-84.

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