KMS Of Academy of mathematics and systems sciences, CAS
| On skew-symmetric games | |
Hao, Yaqi1; Cheng, Daizhan2
| |
| 2018-04-01 | |
| 发表期刊 | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
 |
| ISSN | 0016-0032 |
| 卷号 | 355期号:6页码:3196-3220 |
| 摘要 | By resorting to the vector space structure of finite games, skew-symmetric games (SSGs) are proposed and investigated as a natural subspace of finite games. First of all, for two player games, it is shown that the skew-symmetric games form an orthogonal complement of the symmetric games. Then for a general SSG its linear representation is given, which can be used to verify whether a finite game is skew-symmetric. Furthermore, some properties of SSGs are also obtained in the light of its vector subspace structure. Finally, a symmetry-based decomposition of finite games is proposed, which consists of three mutually orthogonal subspaces: symmetric subspace, skew-symmetric subspace and asymmetric subspace. An illustrative example is presented to demonstrate this decomposition. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. |
| DOI | 10.1016/j.jfranklin.2018.02.015 |
| 语种 | 英语 |
| 资助项目 | NNSF (National Natural Science Foundation) of China[61773371] ; NNSF (National Natural Science Foundation) of China[61733018] |
| 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:000428237800010 |
| 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/29967 |
| 专题 | 系统科学研究所 |
| 通讯作者 | Hao, Yaqi |
| 作者单位 | 1.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hao, Yaqi,Cheng, Daizhan. On skew-symmetric games[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2018,355(6):3196-3220. |
| APA | Hao, Yaqi,&Cheng, Daizhan.(2018).On skew-symmetric games.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,355(6),3196-3220. |
| MLA | Hao, Yaqi,et al."On skew-symmetric games".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 355.6(2018):3196-3220. |
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