Distributed Nash equilibrium seeking for aggregative games with coupled constraints

By Shu Liang, Peng Yi, Yiguang Hong. at - Automatisierungstechnik, 2016

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Abstract In this paper, we study a distributed continuous-time design for aggregative games with coupled constraints in order to seek the generalized Nash equilibrium by a group of agents via simple local information exchange. To solve the problem, we propose a distributed algorithm based on projected dynamics and non-smooth tracking dynamics, even for the case when the interaction topology of the multi-agent network is time-varying. Moreover, we prove the convergence of the non-smooth algorithm for the distributed game by taking advantage of its special structure and also combining the techniques of the variational inequality and Lyapunov function.

Subfields: Computer Networks and Communications, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/b8c41b7d1bd94ec480295d1c63ee0d840038defe