Weighted and near weighted potential games with application to game theoretic control

doi:10.1016/j.automatica.2022.110303

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	Weighted and near weighted potential games with application to game theoretic control
	Cheng, Daizhan 1; Ji, Zhengping 1,2
	2022-07-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	141 页码:10
摘要	With the tool of semi-tensor product of matrices, an algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm is applied to find the closest WPG for a given finite game. In the light of evolutionary equivalence between finite games with respect to certain strategy updating rules, the concept and criterion of near weighted potential games (NWPGs) are given. Based on this, a method is proposed for replacing PGs by WPGs or NWPGs in game theoretic control, which improved the applicability of PG-based optimization. (C) 2022 Elsevier Ltd. All rights reserved.
关键词	Near weighted potential game Game theoretic control Semi-tensor product of matrices
DOI	10.1016/j.automatica.2022.110303
收录类别	SCI
语种	英语
资助项目	NNSF, China[62073315] ; NNSF, China[61074114] ; NNSF, China[61273013]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000797650300022
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61452
专题	中国科学院数学与系统科学研究院
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Daizhan,Ji, Zhengping. Weighted and near weighted potential games with application to game theoretic control[J]. AUTOMATICA,2022,141:10.
APA	Cheng, Daizhan,&Ji, Zhengping.(2022).Weighted and near weighted potential games with application to game theoretic control.AUTOMATICA,141,10.
MLA	Cheng, Daizhan,et al."Weighted and near weighted potential games with application to game theoretic control".AUTOMATICA 141(2022):10.