{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T09:46:51Z","timestamp":1773654411897,"version":"3.50.1"},"reference-count":15,"publisher":"Scientific and Business World","license":[{"start":{"date-parts":[[2010,5,12]],"date-time":"2010-05-12T00:00:00Z","timestamp":1273622400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100000780","name":"European Commission","doi-asserted-by":"publisher","award":["MRTN-CT-2006-034270"],"award-info":[{"award-number":["MRTN-CT-2006-034270"]}],"id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Decision Sciences"],"published-print":{"date-parts":[[2010,5,12]]},"abstract":"<jats:p>We use coevolutionary genetic algorithms to model the players' learning process in several Cournot models and evaluate them in terms of their convergence to the Nash Equilibrium. The \u201csocial-learning\u201d versions of the two coevolutionary algorithms we introduce establish Nash Equilibrium in those models, in contrast to the \u201cindividual learning\u201d versions which, do not imply the convergence of the players' strategies to the Nash outcome. When players use \u201ccanonical coevolutionary genetic algorithms\u201d as learning algorithms, the process of the game is an ergodic Markov Chain; we find that in the \u201csocial\u201d cases states leading to NE play are highly frequent at the stationary distribution of the chain, in contrast to the \u201cindividual learning\u201d case, when NE is not reached at all in our simulations; and finally we show that a large fraction of the games played are indeed at the Nash Equilibrium.<\/jats:p>","DOI":"10.1155\/2010\/573107","type":"journal-article","created":{"date-parts":[[2010,5,12]],"date-time":"2010-05-12T14:32:50Z","timestamp":1273674770000},"page":"1-18","source":"Crossref","is-referenced-by-count":4,"title":["Coevolutionary Genetic Algorithms for Establishing Nash Equilibrium in Symmetric Cournot Games"],"prefix":"10.47654","volume":"2010","author":[{"given":"Mattheos K.","family":"Protopapas","sequence":"first","affiliation":[{"name":"Department of Statistics, University of Rome \u201cLa Sapienza\u201d, Aldo Moro Square 5, 00185 Rome, Italy"}]},{"given":"Francesco","family":"Battaglia","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Rome \u201cLa Sapienza\u201d, Aldo Moro Square 5, 00185 Rome, Italy"}]},{"given":"Elias B.","family":"Kosmatopoulos","sequence":"additional","affiliation":[{"name":"Department of Production Engineering and Management, Technical University of Crete, Agiou Titou Square, Chania 73100, Crete, Greece"}]}],"member":"52777","reference":[{"issue":"1","key":"3","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-1889(94)90067-1","volume":"18","year":"1994","journal-title":"Journal of Economic Dynamics and Control"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-004-0474-8"},{"issue":"3","key":"5","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/s001910050066","volume":"8","year":"1998","journal-title":"Journal of Evolutionary Economics"},{"issue":"4","key":"7","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/s001910050069","volume":"8","year":"1998","journal-title":"Journal of Evolutionary Economics"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1889(98)00068-2"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8640.2007.00300.x"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.geb.2004.10.007"},{"issue":"3","key":"10","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/s001910050042","volume":"7","year":"1997","journal-title":"Journal of Evolutionary Economics"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2004.832862"},{"key":"8","year":"1989"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1889(00)00066-X"},{"issue":"2","key":"12","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/s001910050082","volume":"9","year":"1999","journal-title":"Journal of Evolutionary Economics"},{"key":"9","series-title":"The University Series in Undergraduate Mathematics","first-page":"viii+210","year":"1960"},{"key":"4","series-title":"Probability and Mathematical Statistics","first-page":"xiv+435","year":"1980"},{"issue":"1","key":"11","volume":"5","year":"2009","journal-title":"International Journal of Applied Mathematics and Computational Sciences"}],"container-title":["Advances in Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2010\/573107.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2010\/573107.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2010\/573107.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T16:09:51Z","timestamp":1601309391000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/archive\/2010\/573107\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,5,12]]},"references-count":15,"alternative-id":["573107","573107"],"URL":"https:\/\/doi.org\/10.1155\/2010\/573107","relation":{},"ISSN":["2090-3359","2090-3367"],"issn-type":[{"value":"2090-3359","type":"print"},{"value":"2090-3367","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,5,12]]}}}