{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:14:53Z","timestamp":1760242493084,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2017,9,21]],"date-time":"2017-09-21T00:00:00Z","timestamp":1505952000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Games"],"abstract":"<jats:p>The theory of non cooperative games with potential function was introduced by Monderer and Shapley in 1996. Such games have interesting properties, among which is the existence of equilibria in pure strategies. The paper by Monderer and Shapley has inspired many game theory researchers. In the present paper, many classes of multiobjective games with potential functions are studied. The notions of generalized, best-reply and Pareto potential games are introduced in a multicriteria setting. Some properties and Pareto equilibria are investigated.<\/jats:p>","DOI":"10.3390\/g8040040","type":"journal-article","created":{"date-parts":[[2017,9,21]],"date-time":"2017-09-21T12:17:40Z","timestamp":1505996260000},"page":"40","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Vector Games with Potential Function"],"prefix":"10.3390","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9256-078X","authenticated-orcid":false,"given":"Lucia","family":"Pusillo","sequence":"first","affiliation":[{"name":"DIMA-Department of Mathematics, University of Genova, via Dodecaneso 35, 16146 Genova, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2017,9,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1007\/s11750-007-0008-1","article-title":"Multicriteria games and Potentials","volume":"15","author":"Patrone","year":"2007","journal-title":"TOP"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s10898-007-9209-2","article-title":"Interactive Decisions and Potential Games","volume":"40","author":"Pusillo","year":"2008","journal-title":"J. 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