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Stackelberg-Nash equilibrium, social welfare and optimal structure in hierarchical continuous Public Goods game
Mu, Yifen
2018-02-01
Source PublicationSYSTEMS & CONTROL LETTERS
ISSN0167-6911
Volume112Pages:1-8
AbstractThis 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.
KeywordHierarchical games Stackelberg-Nash equilibrium Public goods game Social welfare Optimal structure
DOI10.1016/j.sysconle.2017.12.001
Language英语
Funding ProjectNational Natural Science Foundation of China[61304159] ; National Natural Science Foundation of China[61374168]
WOS Research AreaAutomation & Control Systems ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science
WOS IDWOS:000427213000001
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29815
Collection系统科学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
Recommended Citation
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.
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