{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T22:12:26Z","timestamp":1758406346655},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2012,3]]},"abstract":"<jats:p>This paper examines the existence of Berge equilibrium. Colman et al. provide a theorem on the existence of this type of equilibrium in the paper [Colman, A. M., K\u00f6rner, T. W., Musy, O. and Tazda\u00eft, T. [2011] Mutual support in games: Some properties of Berge equilibria, J. Math. Psychol.55, 166\u2013175]. This theorem has been demonstrated on the basis of a correspondence with Nash equilibrium. We propose to restate this theorem without using Nash equilibrium, and deduce a method for the computation of Berge equilibria.<\/jats:p>","DOI":"10.1142\/s0219198912500053","type":"journal-article","created":{"date-parts":[[2012,6,27]],"date-time":"2012-06-27T16:48:35Z","timestamp":1340815715000},"page":"1250005","source":"Crossref","is-referenced-by-count":20,"title":["A NEW THEOREM TO FIND BERGE EQUILIBRIA"],"prefix":"10.1142","volume":"14","author":[{"given":"OLIVIER","family":"MUSY","sequence":"first","affiliation":[{"name":"Economix, Universit\u00e9 Paris Ouest Nanterre La D\u00e9fense, 200 Avenue de la R\u00e9publique, 92001 Nanterre Cedex, France"}]},{"given":"ANTONIN","family":"POTTIER","sequence":"additional","affiliation":[{"name":"CIRED-CNRS-EHESS-Ecole des Ponts ParisTech, Campus du Jardin Tropical, 45 bis, Avenue de la Belle Gabrielle, 94736 Nogent Sur Marne Cedex, France"}]},{"given":"TARIK","family":"TAZDAIT","sequence":"additional","affiliation":[{"name":"CIRED-CNRS-EHESS-Ecole des Ponts ParisTech, Campus du Jardin Tropical, 45 bis, Avenue de la Belle Gabrielle, 94736 Nogent Sur Marne Cedex, France"}]}],"member":"219","published-online":{"date-parts":[[2012,11,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(04)90127-9"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.09.080"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1006\/game.1995.1027"},{"key":"rf4","volume-title":"Th'eorie G\u00e9n\u00e9rale des Jeux \u00e0 n Personnes [General Theory of N-Person Games]","author":"Berge C.","year":"1957"},{"key":"rf5","volume-title":"Adam's Tongue: How Humans Made Language, How Language Made Humans","author":"Bickerton D.","year":"2009"},{"key":"rf6","volume-title":"Game Theory and The Social Contract, Volume 1: Playing Fair","author":"Binmore K.","year":"1994"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004930101743"},{"key":"rf8","volume-title":"Game Theory and its Applications in the Social and Biological Sciences","author":"Colman A. M.","year":"1995"},{"key":"rf9","first-page":"180","volume":"26","author":"Colman A. M.","journal-title":"Behav. Brain Sci."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmp.2011.02.001"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/s10683-007-9178-9"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.geb.2003.06.003"},{"key":"rf14","volume-title":"Morals by Agreement","author":"Gauthier D. P.","year":"1986"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1257\/000282805775014407"},{"key":"rf16","volume-title":"Game Theory and Economic Modelling","author":"Kreps D. M.","year":"1993"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/j.mathsocsci.2007.07.004"},{"key":"rf18","volume-title":"Convention: A Philosophical Study","author":"Lewis D. K.","year":"1969"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2006.09.005"},{"key":"rf20","doi-asserted-by":"crossref","DOI":"10.4159\/9780674041660","volume-title":"The Logic of Collective Action","author":"Olson M.","year":"1965"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/BF00124048"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1038\/scientificamerican0462-84"},{"key":"rf23","doi-asserted-by":"crossref","DOI":"10.3998\/mpub.20269","volume-title":"Prisoner's Dilemma: A Study in Conflict and Cooperation","author":"Rapoport A.","year":"1965"},{"key":"rf24","doi-asserted-by":"crossref","unstructured":"A.\u00a0Rapoport and A. M.\u00a0Chammah, Game Theory in the Behavioral Sciences, eds. I. R.\u00a0Buchler and H. G.\u00a0Nutini (University of Pittsburgh Press, Pittsburgh, 1969)\u00a0pp. 151\u2013175.","DOI":"10.2307\/jj.3252843.12"},{"key":"rf25","volume-title":"Discours sur l'Origine et les Fondements de l'In\u00e9galit\u00e9 parmi les Hommes [A Discourse on Inequality]","author":"Rousseau J.-J.","year":"2009"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1177\/1043463195007001004"},{"key":"rf27","first-page":"341","volume":"1","author":"Sen A.","journal-title":"J. Law, Econ. Organ."},{"key":"rf28","volume-title":"On Ethics and Economics","author":"Sen A.","year":"1987"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1007\/BF01726214"},{"key":"rf30","unstructured":"V. I.\u00a0Zhukovskii, Matematiceskie Metody v Issledovanii Operacij [Mathematical Methods in Operations Research], ed. P.\u00a0Kenderov (Bulgarian Academy of Sciences, Sofia, 1985)\u00a0pp. 103\u2013195."},{"key":"rf31","volume-title":"Lineino-Kvadratichnye Differentsial'nye Igry [Linear\u2013Quadratic Differential Games]","author":"Zhukovskii V. I.","year":"1994"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198912500053","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,26]],"date-time":"2024-04-26T04:32:28Z","timestamp":1714105948000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198912500053"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3]]},"references-count":30,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,11,2]]},"published-print":{"date-parts":[[2012,3]]}},"alternative-id":["10.1142\/S0219198912500053"],"URL":"https:\/\/doi.org\/10.1142\/s0219198912500053","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3]]}}}