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From weighted potential game to weighted harmonic game
Wang, Yuanhua1,2; Liu, Ting3; Cheng, Daizhan2,3
AbstractIt was shown that the vector space of finite non-cooperative games can be decomposed into three orthogonal subspaces: the pure potential games (PGs) (P), non-strategic games (N), and pure harmonic games (H). This study proposes the concept of weighted harmonic game, and shows that in the aforementioned decomposition the P can be replaced by weighted pure PGs P-w, and the H can be replaced by WPHGs H-w. Then the bases for corresponding orthogonal subspaces are presented, respectively. Finally, certain properties of the new decomposed subspaces are investigated.
Keywordgame theory weighted potential game weighted harmonic game vector space finite noncooperative games orthogonal subspaces nonstrategic games pure harmonic games pure potential games WPHG
Funding ProjectNational Natural Science Foundation of China[61074114] ; National Natural Science Foundation of China[61273013]
WOS Research AreaAutomation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS IDWOS:000407798500018
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Document Type期刊论文
Corresponding AuthorWang, Yuanhua
Affiliation1.Shandong Normal Univ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China
2.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wang, Yuanhua,Liu, Ting,Cheng, Daizhan. From weighted potential game to weighted harmonic game[J]. IET CONTROL THEORY AND APPLICATIONS,2017,11(13):2161-2169.
APA Wang, Yuanhua,Liu, Ting,&Cheng, Daizhan.(2017).From weighted potential game to weighted harmonic game.IET CONTROL THEORY AND APPLICATIONS,11(13),2161-2169.
MLA Wang, Yuanhua,et al."From weighted potential game to weighted harmonic game".IET CONTROL THEORY AND APPLICATIONS 11.13(2017):2161-2169.
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