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On Decomposed Subspaces of Finite Games
Cheng, Daizhan1; Liu, Ting1; Zhang, Kuize2; Qi, Hongsheng1
2016-11-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume61Issue:11Pages:3651-3656
AbstractThis 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.
KeywordDecomposition harmonic game non-strategic game potential game semi-tensor product of matrices
DOI10.1109/TAC.2016.2525936
Language英语
Funding ProjectNational Natural Science Foundation of China (NSFC)[61273013] ; National Natural Science Foundation of China (NSFC)[61333001]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000389892000043
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:19[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24228
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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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