Maria Isabel Berenguer, Domingo Gámez, Ana Isabel Garralda-Guillem, Manuel Ruiz Galán

A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory

  • Geometry and Topology
  • Logic
  • Mathematical Physics
  • Algebra and Number Theory
  • Analysis

We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions. In order to derive some consequences on game theory—Nash equilibrium and minimax inequalities—we introduce a weak convexity concept.

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