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New minimax inequality with applications to existence theorems of equilibrium points

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Abstract

A new minimax inequality is proved on a set which is the union of an increasing sequence of compact convex sets in a topological vector space. As applications, several existence theorems of equilibrium points for different games are obtained.

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The authors would like to thank the referees for their helpful suggestions.

Communicated by H. P. Benson

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Tan, K.K., Yu, J. New minimax inequality with applications to existence theorems of equilibrium points. J Optim Theory Appl 82, 105–120 (1994). https://doi.org/10.1007/BF02191782

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Key Words

  • Minimax inequalities
  • topological vector spaces
  • N-person games
  • qualitative games
  • equilibrium points
  • reflexive Banach spaces