{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:11:07Z","timestamp":1753884667402,"version":"3.41.2"},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2023,12]]},"abstract":"<jats:p> In this paper, a class of generalized convex games is introduced. Existence properties of Nash equilibria, in mixed and pure strategies, are proposed. These properties are studied by considering limit cases related to a specific class of semi-lattice games. We propose an interpretation of our results based on Atkinson\u2019s notion of generalized means. We also show that our approach makes it possible to propose a preference scheme taking into account the notion of prioritarianism. <\/jats:p>","DOI":"10.1142\/s0219198923500093","type":"journal-article","created":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T07:42:32Z","timestamp":1681198952000},"source":"Crossref","is-referenced-by-count":0,"title":["Generalized Means and Randomization Scheme of Nash Equilibria"],"prefix":"10.1142","volume":"25","author":[{"given":"Walter","family":"Briec","sequence":"first","affiliation":[{"name":"LAMPS, Department of Economics, University of Perpignan, 52 Avenue Villeneuve, 66000 Perpignan, France"}]},{"given":"Audrey","family":"Dumas","sequence":"additional","affiliation":[{"name":"LAMPS, Department of Economics, University of Perpignan, 52 Avenue Villeneuve, 66000 Perpignan, France"}]},{"given":"Jeremie","family":"Mauranyapin","sequence":"additional","affiliation":[{"name":"LAMPS, Department of Economics, University of Perpignan, 52 Avenue Villeneuve, 66000 Perpignan, France"}]}],"member":"219","published-online":{"date-parts":[[2023,5,13]]},"reference":[{"key":"S0219198923500093BIB001","doi-asserted-by":"publisher","DOI":"10.1080\/01630563.2011.618960"},{"volume-title":"Well-Being and Fair Distribution: Beyond Cost-Benefit Analysis","year":"2012","author":"Adler M.","key":"S0219198923500093BIB002"},{"key":"S0219198923500093BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1765(00)00258-5"},{"key":"S0219198923500093BIB004","doi-asserted-by":"publisher","DOI":"10.1080\/02331934.2017.1279159"},{"key":"S0219198923500093BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(70)90039-6"},{"key":"S0219198923500093BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/BF00932539"},{"issue":"1","key":"S0219198923500093BIB007","first-page":"259","volume":"22","author":"Briec W.","year":"2015","journal-title":"J. Convex Anal."},{"key":"S0219198923500093BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-021-04056-6"},{"key":"S0219198923500093BIB009","doi-asserted-by":"publisher","DOI":"10.1080\/02331930410001695283"},{"key":"S0219198923500093BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2007.09.056"},{"key":"S0219198923500093BIB011","first-page":"740","volume":"215","author":"Briec W.","year":"2011","journal-title":"Eur. J. Oper. Res."},{"key":"S0219198923500093BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2019.11.048"},{"key":"S0219198923500093BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2021.125862"},{"key":"S0219198923500093BIB014","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.38.10.886"},{"key":"S0219198923500093BIB015","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.42.11.876"},{"key":"S0219198923500093BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-5287-7"},{"key":"S0219198923500093BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2019.05.001"},{"key":"S0219198923500093BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-46802-5_5"},{"key":"S0219198923500093BIB019","doi-asserted-by":"publisher","DOI":"10.1109\/FUZZY.1992.258738"},{"key":"S0219198923500093BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(02)00228-6"},{"key":"S0219198923500093BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(76)90068-5"},{"key":"S0219198923500093BIB022","doi-asserted-by":"publisher","DOI":"10.2307\/2938316"},{"key":"S0219198923500093BIB023","doi-asserted-by":"publisher","DOI":"10.2307\/1969529"},{"key":"S0219198923500093BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2681(82)90008-7"},{"key":"S0219198923500093BIB025","doi-asserted-by":"publisher","DOI":"10.4159\/9780674042605"},{"key":"S0219198923500093BIB026","first-page":"141","volume":"64","author":"Rawls J.","year":"1974","journal-title":"Am. Econ. Rev."},{"key":"S0219198923500093BIB027","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1955.5.285"},{"volume-title":"Supermodularity and Complementarity","year":"1998","author":"Topkis D.","key":"S0219198923500093BIB028"},{"key":"S0219198923500093BIB029","doi-asserted-by":"publisher","DOI":"10.2307\/1911158"},{"key":"S0219198923500093BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(88)90010-5"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198923500093","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,4]],"date-time":"2023-12-04T08:12:27Z","timestamp":1701677547000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219198923500093"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,13]]},"references-count":30,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2023,12]]}},"alternative-id":["10.1142\/S0219198923500093"],"URL":"https:\/\/doi.org\/10.1142\/s0219198923500093","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"type":"print","value":"0219-1989"},{"type":"electronic","value":"1793-6675"}],"subject":[],"published":{"date-parts":[[2023,5,13]]},"article-number":"2350009"}}