{"title":"Ordinally Symmetric Games","authors":"Zhigang Cao, Xiaoguang Yang","doi":"10.2139/ssrn.3206379","DOIUrl":null,"url":null,"abstract":"Abstract We extend the notion of an ordinally symmetric game of Osborne and Rubinstein (1994) from two to n players. We prove that each ordinally symmetric game with two strategies is an ordinal potential game and thus possesses a pure strategy Nash equilibrium, generalizing a result of Hofbauer and Sorger (2002) on symmetric games.","PeriodicalId":393761,"journal":{"name":"ERN: Other Game Theory & Bargaining Theory (Topic)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Other Game Theory & Bargaining Theory (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3206379","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Abstract We extend the notion of an ordinally symmetric game of Osborne and Rubinstein (1994) from two to n players. We prove that each ordinally symmetric game with two strategies is an ordinal potential game and thus possesses a pure strategy Nash equilibrium, generalizing a result of Hofbauer and Sorger (2002) on symmetric games.