Symmetry-based decomposition of finite games
文献类型：期刊论文
| 作者 | Li, Changxi1; He, Fenghua1; Liu, Ting2; Cheng, Daizhan2
|
| 刊名 | SCIENCE CHINA-INFORMATION SCIENCES
 |
| 出版日期 | 2019 |
| 卷号 | 62期号:1页码:13 |
| 关键词 | potential game symmetric game decomposition Nash equilibrium semi-tensor product of matrices |
| ISSN号 | 1674-733X |
| DOI | 10.1007/s11432-017-9411-0 |
| 英文摘要 | The symmetry-based decompositions of finite games are investigated. First, the vector space of finite games is decomposed into a symmetric subspace and an orthogonal complement of the symmetric subspace. The bases of the symmetric subspace and those of its orthogonal complement are presented. Second, the potential-based orthogonal decompositions of two-player symmetric/antisymmetric games are presented. The bases and dimensions of all dual decomposed subspaces are revealed. Finally, some properties of these decomposed subspaces are obtained. |
| 资助项目 | National Natural Science Foundation of China[61473099] ; National Natural Science Foundation of China[61273013] ; National Natural Science Foundation of China[61333001] |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000454266300001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32076]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | He, Fenghua |
| 作者单位 | 1.Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Changxi,He, Fenghua,Liu, Ting,et al. Symmetry-based decomposition of finite games[J]. SCIENCE CHINA-INFORMATION SCIENCES,2019,62(1):13. |
| APA | Li, Changxi,He, Fenghua,Liu, Ting,&Cheng, Daizhan.(2019).Symmetry-based decomposition of finite games.SCIENCE CHINA-INFORMATION SCIENCES,62(1),13. |
| MLA | Li, Changxi,et al."Symmetry-based decomposition of finite games".SCIENCE CHINA-INFORMATION SCIENCES 62.1(2019):13. |
入库方式： OAI收割
来源：数学与系统科学研究院
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