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On coset weighted potential game

文献类型：期刊论文

作者Wang, Yuanhua1; Cheng, Daizhan2
刊名JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
出版日期2020-06-01
卷号357期号:9页码:5523-5540
ISSN号0016-0032
DOI10.1016/j.jfranklin.2020.02.040
英文摘要In this paper we first define a new kind of potential games, called coset weighted potential game, which is a generalized form of weighted potential game. Using semi-tensor product of matrices, an algebraic method is provided to verify whether a finite game is a coset weighted potential game, and a simple formula is obtained to calculate the corresponding potential function. Then some properties of coset weighted potential games are revealed. Finally, by resorting to the vector space structure of finite games, a new orthogonal decomposition based on coset weights is proposed, the corresponding geometric and algebraic expressions of all the subspaces are given by providing their bases. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
资助项目National Natural Science Foundation of China[61903236] ; National Natural Science Foundation of China[61773371] ; National Natural Science Foundation of China[61876101] ; National Natural Science Foundation of China[71701115]
WOS研究方向Automation & Control Systems ; Engineering ; Mathematics
语种英语
WOS记录号WOS:000577473000019
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/52349]  
专题中国科学院数学与系统科学研究院
通讯作者Wang, Yuanhua
作者单位1.Shandong Normal Univ, Sch Business, Jinan 250014, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Wang, Yuanhua,Cheng, Daizhan. On coset weighted potential game[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2020,357(9):5523-5540.
APA Wang, Yuanhua,&Cheng, Daizhan.(2020).On coset weighted potential game.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,357(9),5523-5540.
MLA Wang, Yuanhua,et al."On coset weighted potential game".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 357.9(2020):5523-5540.

入库方式： OAI收割

来源：数学与系统科学研究院

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