From Boolean game to potential game
文献类型：期刊论文
| 作者 | Cheng, Daizhan1,2 ; Liu, Ting2
|
| 刊名 | AUTOMATICA
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 96页码:51-60 |
| 关键词 | Symmetric game Boolean game Potential game Semi-tensor product of matrices |
| ISSN号 | 0005-1098 |
| DOI | 10.1016/j.automatica.2018.06.028 |
| 英文摘要 | Using semi-tensor product of matrices, the vector space structure of Boolean games and their some specified subsets are proposed. By resorting to the vector space structure and potential equation, we give an alternative proof for the fact that a symmetric Boolean game is a potential game. The two advantages of this new approach are revealed as follows: (1) It can provide the corresponding potential function; (2) It can be used to explore new potential Boolean games. The corresponding formula is provided to demonstrate the first advantage. As for the second one, the renaming symmetric Boolean games and the weighted symmetric Boolean games are also proved to be potential and weighted potential respectively. Moreover, as a non-symmetric game, the flipped symmetry Boolean game has been constructed and proved to be potential. (C) 2018 Elsevier Ltd. All rights reserved. |
| 资助项目 | NNSF of China[61773371] ; NNSF of China[61733018] |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000444659500006 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31267]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Cheng, Daizhan |
| 作者单位 | 1.Shandong Univ, Sch Control Sci & Engn, Jiman 250061, 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 | Cheng, Daizhan,Liu, Ting. From Boolean game to potential game[J]. AUTOMATICA,2018,96:51-60. |
| APA | Cheng, Daizhan,&Liu, Ting.(2018).From Boolean game to potential game.AUTOMATICA,96,51-60. |
| MLA | Cheng, Daizhan,et al."From Boolean game to potential game".AUTOMATICA 96(2018):51-60. |
入库方式： OAI收割
来源：数学与系统科学研究院
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