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	On Decomposed Subspaces of Finite Games
	Cheng, Daizhan1; Liu, Ting1; Zhang, Kuize2; Qi, Hongsheng1
刊名	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	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
DOI	10.1109/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
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000389892000043
内容类型	期刊论文
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.

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