KMS Of Academy of mathematics and systems sciences, CAS
| On coset weighted potential game | |
| Wang, Yuanhua1; Cheng, Daizhan2 | |
| 2020-06-01 | |
| Source Publication | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
 |
| ISSN | 0016-0032 |
| Volume | 357Issue:9Pages:5523-5540 |
| Abstract | 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 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Automation & Control Systems ; Engineering ; Mathematics |
| WOS Subject | Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000577473000019 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52350 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Wang, Yuanhua |
| Affiliation | 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 |
| Recommended Citation 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. |
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