Matrix expression of Shapley values and its application to distributed resource allocation
文献类型：期刊论文
| 作者 | Wang, Yuanhua1; Cheng, Daizhan2 ; Liu, Xiyu1
|
| 刊名 | SCIENCE CHINA-INFORMATION SCIENCES
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 62期号:2页码:11 |
| 关键词 | semi-tensor product of matrices Shapley value matrix formula distributed resource allocation |
| ISSN号 | 1674-733X |
| DOI | 10.1007/s11432-018-9414-5 |
| 英文摘要 | The symmetric and weighted Shapley values for cooperative n-person games are studied. Using the semi-tensor product of matrices, it is first shown that a characteristic function can be expressed as a pseudo-Boolean function. Then, two simple matrix formulas are obtained for calculating the symmetric and weighted Shapley values. Finally, using these new formulas, a design technique for the agents' payoff functions in distributed resource allocation problems is proposed. It is possible to design payoff functions with the weighted Shapley value by the nonsymmetric weights defined on the players, thus ensuring that the optimal allocation is a pure Nash equilibrium. Practical examples are presented to illustrate the theoretical results. |
| 资助项目 | National Natural Science Foundation of China[61773371] |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000454513000001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32133]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Wang, Yuanhua |
| 作者单位 | 1.Shandong Normal Univ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Yuanhua,Cheng, Daizhan,Liu, Xiyu. Matrix expression of Shapley values and its application to distributed resource allocation[J]. SCIENCE CHINA-INFORMATION SCIENCES,2019,62(2):11. |
| APA | Wang, Yuanhua,Cheng, Daizhan,&Liu, Xiyu.(2019).Matrix expression of Shapley values and its application to distributed resource allocation.SCIENCE CHINA-INFORMATION SCIENCES,62(2),11. |
| MLA | Wang, Yuanhua,et al."Matrix expression of Shapley values and its application to distributed resource allocation".SCIENCE CHINA-INFORMATION SCIENCES 62.2(2019):11. |
入库方式： OAI收割
来源：数学与系统科学研究院
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