|Distributed Nash Equilibrium Seeking for Aggregative Games via Derivative Feedback
Yawei Zhang*, Shu Liang, and Haibo Ji
International Journal of Control, Automation, and Systems, vol. 18, no. 5, pp.1075-1082, 2020
Abstract : In this paper, we investigate a continuous-time distributed Nash equilibrium seeking algorithm for a class of aggregative games, with application to the real-time pricing demand response. To seek the Nash equilibrium via local communication among neighbors, by combining projected gradient dynamics and consensus tracking dynamics, we propose a novel distributed algorithm for the players. We prove the convergence of the distributed algorithm via a constructed Lyapunov function and the variational inequality technique, and show an illustrative simulation related to the energy consumption control in smart grids.
Aggregative games, distributed algorithm, energy consumption control, Nash equilibrium, projected gradient dynamics.