{"title":"AN INFORMATION THEORY OF GAME SYSTEMS","authors":"Yuichi Kai, Seigo Kanô","doi":"10.5109/13150","DOIUrl":null,"url":null,"abstract":"We define non-cooperative game systems and cooperative game systems from a viewpoint of information theory. Concerning the both systems we show some sufficient conditions under which players can obtain the total information on the other players' strategies from a sequence of observations. In a cooperative case we give a numerical model and calculate the amounts of information obtained from the sequential observations by the players in a cooperative group.","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1981-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5109/13150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
We define non-cooperative game systems and cooperative game systems from a viewpoint of information theory. Concerning the both systems we show some sufficient conditions under which players can obtain the total information on the other players' strategies from a sequence of observations. In a cooperative case we give a numerical model and calculate the amounts of information obtained from the sequential observations by the players in a cooperative group.
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