Distributed Nash equilibrium seeking under quantization communication. (July 2022)

• Record Type: Journal Article
• Authors: Chen, Ziqin; Ma, Ji; Liang, Shu; Li, Li
• Is Part Of: Automatica. Volume 141(2022)
• Publication Date: 2022-07
• Subjects: Distributed Nash equilibrium seeking -- Quantization communication -- Exponential convergence; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2022.110318
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play, distributed decision estimating, and adaptive quantization. Exponential convergence of the algorithm is established, and a relationship between the convergence rate and the bandwidth is quantitatively analyzed. Finally, a simulation of an energy consumption game is presented to validate the proposed results.