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On Decomposed Subspaces of Finite Games

文献类型：期刊论文

作者Cheng, Daizhan1; Liu, Ting1; Zhang, Kuize2; Qi, Hongsheng1
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2016-11-01
卷号61期号:11页码:3651-3656
关键词Decomposition harmonic game non-strategic game potential game semi-tensor product of matrices
ISSN号0018-9286
DOI10.1109/TAC.2016.2525936
英文摘要This note provides the detailed description of the decomposed subspaces of finite games. First, the basis of potential games and the basis of non-strategic games are revealed. Then the bases of pure potential and pure harmonic subspaces are also obtained. These bases provide an explicit formula for the decomposition, and are convenient for investigating the properties of the corresponding subspaces. As an application, we consider the dynamics of networked evolutionary games (NEGs). Three problems are considered: 1) the dynamic equivalence of evolutionary games; 2) the dynamics of near potential games; and 3) the decomposition of NEGs.
资助项目National Natural Science Foundation of China (NSFC)[61273013] ; National Natural Science Foundation of China (NSFC)[61333001]
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000389892000043
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24227]  
专题系统科学研究所
通讯作者Cheng, Daizhan
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China
推荐引用方式
GB/T 7714		 Cheng, Daizhan,Liu, Ting,Zhang, Kuize,et al. On Decomposed Subspaces of Finite Games[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2016,61(11):3651-3656.
APA Cheng, Daizhan,Liu, Ting,Zhang, Kuize,&Qi, Hongsheng.(2016).On Decomposed Subspaces of Finite Games.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,61(11),3651-3656.
MLA Cheng, Daizhan,et al."On Decomposed Subspaces of Finite Games".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 61.11(2016):3651-3656.

入库方式： OAI收割

来源：数学与系统科学研究院

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