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On the existence of Nash equilibriums for infinite matrix games

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Publication:1003249
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DOI10.1016/J.NONRWA.2007.08.012zbMath1154.91305OpenAlexW1974802340MaRDI QIDQ1003249

Shuanglin Lin, Cong-Jun Zhang, Li, Jinlu

Publication date: 27 February 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.08.012


zbMATH Keywords

optimal strategyNash equilibriumsaddle pointKKM mappingfan-KKM theorem\(\infty \times \infty \) matrix games


Mathematics Subject Classification ID

Noncooperative games (91A10) 2-person games (91A05)


Related Items (3)

Iterative algorithms based on hybrid method and Cesàro mean of asymptotically nonexpansive mappings for equilibrium problems ⋮ A Finsler geometrical programming approach to the nonlinear complementarity problem of traffic equilibrium ⋮ Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces




Cites Work

  • Saddle point theorems
  • Characterization of optimal strategies in matrix games with convexity properties
  • Weak topology and infinite matrix games
  • Note on zero sum two person games
  • A Social Equilibrium Existence Theorem*
  • Unnamed Item




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