Stackelberg-Nash equilibrium, social welfare and optimal structure in hierarchical continuous Public Goods game

doi:10.1016/j.sysconle.2017.12.001

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	Stackelberg-Nash equilibrium, social welfare and optimal structure in hierarchical continuous Public Goods game
	Mu, Yifen
	2018-02-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	112 页码:1-8
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.
关键词	Hierarchical games Stackelberg-Nash equilibrium Public goods game Social welfare Optimal structure
DOI	10.1016/j.sysconle.2017.12.001
语种	英语
资助项目	National Natural Science Foundation of China[61304159] ; National Natural Science Foundation of China[61374168]
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000427213000001
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29815
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.