{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:18:41Z","timestamp":1760149121499,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,5]],"date-time":"2023-07-05T00:00:00Z","timestamp":1688515200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Junta de Andalucia","award":["FQM359","CEX2020-001105-M"],"award-info":[{"award-number":["FQM359","CEX2020-001105-M"]}]},{"name":"\u201cMaria de Maeztu\u201d Excellence Unit IMAG","award":["FQM359","CEX2020-001105-M"],"award-info":[{"award-number":["FQM359","CEX2020-001105-M"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>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\u2014Nash equilibrium and minimax inequalities\u2014we introduce a weak convexity concept.<\/jats:p>","DOI":"10.3390\/axioms12070666","type":"journal-article","created":{"date-parts":[[2023,7,6]],"date-time":"2023-07-06T00:54:41Z","timestamp":1688604881000},"page":"666","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3237-4624","authenticated-orcid":false,"given":"Maria Isabel","family":"Berenguer","sequence":"first","affiliation":[{"name":"E.T.S. 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