{"title":"具有两两交互作用的网络游戏的Shapley值","authors":"M. Bulgakova, L. Petrosyan","doi":"10.1109/SCP.2015.7342112","DOIUrl":null,"url":null,"abstract":"Network games - is new and important part of modern game theory. Networks illustrate the interaction of both individual players and groups. Pairwise interaction is characterized by the ability of players to interact one by one with neighbors in a network. In the paper the analytic expression for the characteristic function is derived. And for special classes of network games the Shapley value is computed.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Shapley value for the network game with pairwise interactions\",\"authors\":\"M. Bulgakova, L. Petrosyan\",\"doi\":\"10.1109/SCP.2015.7342112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Network games - is new and important part of modern game theory. Networks illustrate the interaction of both individual players and groups. Pairwise interaction is characterized by the ability of players to interact one by one with neighbors in a network. In the paper the analytic expression for the characteristic function is derived. And for special classes of network games the Shapley value is computed.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342112\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Shapley value for the network game with pairwise interactions
Network games - is new and important part of modern game theory. Networks illustrate the interaction of both individual players and groups. Pairwise interaction is characterized by the ability of players to interact one by one with neighbors in a network. In the paper the analytic expression for the characteristic function is derived. And for special classes of network games the Shapley value is computed.