KMS Of Academy of mathematics and systems sciences, CAS
On coset weighted potential game | |
Wang, Yuanhua1; Cheng, Daizhan2 | |
2020-06-01 | |
发表期刊 | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS |
ISSN | 0016-0032 |
卷号 | 357期号:9页码:5523-5540 |
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. |
DOI | 10.1016/j.jfranklin.2020.02.040 |
收录类别 | SCI |
语种 | 英语 |
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 |
WOS类目 | Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000577473000019 |
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/52350 |
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. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论