Stackelberg-Nash equilibrium, social welfare and optimal structure in hierarchical continuous Public Goods game
文献类型：期刊论文
| 作者 | Mu, Yifen
|
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2018-02-01 |
| 卷号 | 112页码:1-8 |
| 关键词 | Hierarchical games Stackelberg-Nash equilibrium Public goods game Social welfare Optimal structure |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2017.12.001 |
| 英文摘要 | This paper studies Stackelberg-Nash equilibrium, social welfare and optimal structure of hierarchical Public Goods game in which the players have continuous action spaces. There can be multiple leaders, followers or levels and the leaders are assumed to take linear strategies with respect to the followers' actions. Explicit forms of Stackelberg-Nash equilibriums of the game under different structures are solved from which social welfare index emerges with good properties. Based on these the optimal 2-level structure for any given population is proved and constructed in steps less than the population size. Moreover, equilibrium under the simplest three-level structure is computed, which implies a bound of hierarchy for theoretical analysis. Results in this paper are rigorous and show interesting phenomena in hierarchical games, which may help decision-making in practice especially in hierarchical systems. (C) 2017 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000427213000001 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29814]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Mu, Yifen |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mu, Yifen. Stackelberg-Nash equilibrium, social welfare and optimal structure in hierarchical continuous Public Goods game[J]. SYSTEMS & CONTROL LETTERS,2018,112:1-8. |
| APA | Mu, Yifen.(2018).Stackelberg-Nash equilibrium, social welfare and optimal structure in hierarchical continuous Public Goods game.SYSTEMS & CONTROL LETTERS,112,1-8. |
| MLA | Mu, Yifen."Stackelberg-Nash equilibrium, social welfare and optimal structure in hierarchical continuous Public Goods game".SYSTEMS & CONTROL LETTERS 112(2018):1-8. |
入库方式： OAI收割
来源：数学与系统科学研究院
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