Distributed Nash Equilibrium Seeking under Quantization Communication

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Ziqin Chen, Ji Ma, Shu Liang, Li Li

Published: 2021, Last Modified: 26 Jan 2026CoRR 2021EveryoneRevisionsBibTeXCC BY-SA 4.0
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.