A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory
Metadatos
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Berenguer Maldonado, María Isabel; Gámez Domingo, Domingo; Garralda Guillén, Ana Isabel; Ruiz Galán, ManuelEditorial
MDPI
Materia
Equilibrium problems Game theory Minimax inequalities
Fecha
2023-07-05Referencia bibliográfica
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]
Patrocinador
Junta de Andalucia, Project FQM359; Maria de Maeztu” Excellence Unit IMAG; CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033/Resumen
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