{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,27]],"date-time":"2025-05-27T17:07:20Z","timestamp":1748365640950},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2019,12]]},"abstract":"<jats:p> In this paper, we study the concept of Evolutionarily Stable Strategies (ESSs) for symmetric games with [Formula: see text] players. The main properties of these games and strategies are analyzed and several examples are provided. We relate the concept of ESS with previous literature and provide a proof of finiteness of ESS in the context of symmetric games with [Formula: see text] players. We show that unlike the case of [Formula: see text], when there are more than two populations an ESS does not have a uniform invasion barrier, or equivalently, it is not equivalent to the strategy performing better against all strategies in a neighborhood. We also construct the extended replicator dynamics for these games and we study an application to a model of strategic planning of investment. <\/jats:p>","DOI":"10.1142\/s0219198919500051","type":"journal-article","created":{"date-parts":[[2019,4,11]],"date-time":"2019-04-11T04:57:56Z","timestamp":1554958676000},"page":"1950005","source":"Crossref","is-referenced-by-count":4,"title":["Evolutionary Game Theory: A Generalization of the ESS Definition"],"prefix":"10.1142","volume":"21","author":[{"given":"Elvio","family":"Accinelli","sequence":"first","affiliation":[{"name":"Universidad Aut\u00f3noma de San Luis Potos\u00ed, \u00c1lvaro Obreg\u00f3n #64, Col. Centro, C. P. 78000, San Luis Potos\u00ed, S. L. P., Mexico"}]},{"given":"Filipe","family":"Martins","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculdade de Ci\u00eancias da, Universidade do Porto, Rua do Campo, Alegre, s\/n, 4169-007 Porto, Portugal"},{"name":"Laborat\u00f3rio de Intelig\u00eancia Artificial e, Apoio \u00e0 Decis\u00e3o (LIAAD), INESC TEC, Campus da FEUP, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]},{"given":"Jorge","family":"Oviedo","sequence":"additional","affiliation":[{"name":"Instituto de Matem\u00e1tica Aplicada San Luis, Universidad Nacional de San Luis, Ej\u00e9rcito de los Andes 950, 5700 San Luis, Argentina"},{"name":"Consejo Nacional de Investigaciones, Cient\u00edficas y T\u00e9cnicas (CONICET), Ej\u00e9rcito de Los Andes 950 5700, San Luis, Argentina"}]}],"member":"219","published-online":{"date-parts":[[2019,12,22]]},"reference":[{"key":"S0219198919500051BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-11456-4_3"},{"key":"S0219198919500051BIB002","doi-asserted-by":"publisher","DOI":"10.3934\/jdg.2015.2.1"},{"key":"S0219198919500051BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/BF02460000"},{"key":"S0219198919500051BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s001820400183"},{"key":"S0219198919500051BIB005","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0912214107"},{"key":"S0219198919500051BIB006","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.2008.1546"},{"key":"S0219198919500051BIB007","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511806292"},{"key":"S0219198919500051BIB008","doi-asserted-by":"publisher","DOI":"10.1038\/246015a0"},{"key":"S0219198919500051BIB009","doi-asserted-by":"publisher","DOI":"10.2307\/1969529"},{"key":"S0219198919500051BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/BF00277103"},{"key":"S0219198919500051BIB011","doi-asserted-by":"publisher","DOI":"10.2307\/3213376"},{"key":"S0219198919500051BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-96978-2"},{"key":"S0219198919500051BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2009.04.019"},{"key":"S0219198919500051BIB014","volume-title":"Evolutionary Game Theory","author":"Weibull J. W.","year":"1995"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198919500051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T01:49:25Z","timestamp":1577065765000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198919500051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12]]},"references-count":14,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["10.1142\/S0219198919500051"],"URL":"https:\/\/doi.org\/10.1142\/s0219198919500051","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12]]}}}