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arXiv · 1609.02253

Distributed Nash equilibrium seeking for aggregative games with coupled constraints

Shu Liang·Peng Yi·Yiguang Hong
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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.

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Shu Liang, Peng Yi, Yiguang Hong. 2016-09-08. Distributed Nash equilibrium seeking for aggregative games with coupled constraints. https://doi.org/10.1016/j.automatica.2017.07.064

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