Exponentially convergent distributed Nash equilibrium seeking for constrained aggregative games

Autor: Shu Liang, Peng Yi, Yiguang Hong, Kaixiang Peng
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Autonomous Intelligent Systems, Vol 2, Iss 1, Pp 1-8 (2022)
Druh dokumentu: article
ISSN: 2730-616X
DOI: 10.1007/s43684-022-00024-4
Popis: Abstract Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-time algorithm is proposed. The algorithm is designed by virtue of projected gradient play dynamics and aggregation tracking dynamics, and is applicable to games with constrained strategy sets and weight-balanced communication graphs. The key feature of our method is that the proposed projected dynamics achieves exponential convergence, whereas such convergence results are only obtained for non-projected dynamics in existing works on distributed optimization and equilibrium seeking. Numerical examples illustrate the effectiveness of our methods.
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