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Distributed best response dynamics for Nash equilibrium seeking in potential games
Huang Shijie1; Yi Peng2
2020
Source PublicationControl Theory and Technology
ISSN2095-6983
Volume18Issue:3Pages:324-332
AbstractIn this paper, we consider distributed Nash equilibrium (NE) seeking in potential games over a multi-agent network, where each agent can not observe the actions of all its rivals. Based on the best response dynamics, we design a distributed NE seeking algorithm by incorporating the non-smooth finite-time average tracking dynamics, where each agent only needs to know its own action and exchange information with its neighbours through a communication graph. We give a sufficient condition for the Lipschitz continuity of the best response mapping for potential games, and then prove the convergence of the proposed algorithm based on the Lyapunov theory. Numerical simulations are given to verify the result and illustrate the effectiveness of the algorithm.
KeywordDistributed algorithms Nash equilibrium seeking best response dynamics non-smooth finite-time tracking dynamics potential games
Indexed ByCSCD
Language英语
CSCD IDCSCD:6803398
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/57713
Collection中国科学院数学与系统科学研究院
Affiliation1.中国科学院数学与系统科学研究院
2.同济大学
Recommended Citation
GB/T 7714
Huang Shijie,Yi Peng. Distributed best response dynamics for Nash equilibrium seeking in potential games[J]. Control Theory and Technology,2020,18(3):324-332.
APA Huang Shijie,&Yi Peng.(2020).Distributed best response dynamics for Nash equilibrium seeking in potential games.Control Theory and Technology,18(3),324-332.
MLA Huang Shijie,et al."Distributed best response dynamics for Nash equilibrium seeking in potential games".Control Theory and Technology 18.3(2020):324-332.
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