A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory Berenguer Maldonado, María Isabel Gámez Domingo, Domingo Garralda Guillén, Ana Isabel Ruiz Galán, Manuel Equilibrium problems Game theory Minimax inequalities 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 2023-09-22T08:46:24Z 2023-09-22T08:46:24Z 2023-07-05 journal article Berenguer, M.I.; Gámez, D.; Garralda-Guillem, A.I.; Ruiz Galán, M. A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory. Axioms 2023, 12, 666. [https://doi.org/10.3390/axioms12070666] https://hdl.handle.net/10481/84580 10.3390/axioms12070666 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional MDPI