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Existence of solutions of games with some non-convexity

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Publication:1090255
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DOI10.1007/BF01769255zbMath0619.90084OpenAlexW2052220370MaRDI QIDQ1090255

J. F. McClendon

Publication date: 1986

Published in: International Journal of Game Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01769255


zbMATH Keywords

saddle point theorems


Mathematics Subject Classification ID

2-person games (91A05)


Related Items (6)

Non-convexity in noncooperative game theory ⋮ A more refined convexity idea for Nash equilibria ⋮ Poor convexity and Nash equilibria in games ⋮ Some topological mini-max theorems via an alternative principle for multifunctions ⋮ Existence of pure Nash equilibria in discontinuous and non quasiconcave games ⋮ Combinatorial optimization in Nash games



Cites Work

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  • Pure strategy Nash equilibrium points and the Lefschetz fixed point theorem
  • Some general theorems in coincidence theory. I
  • Applications of game theory to threshold logic
  • Fixed point and min-max theorems
  • On non-contractible valued multifunctions
  • Minimax Theorems for ANR's
  • Subopen multifunctions and selections
  • A Social Equilibrium Existence Theorem*
  • Fixed Point Theorems for Multi-Valued Transformations


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