Resilient Discrete-Time Quantization Communication for Distributed Nash Equilibrium Seeking Under DoS Attacks

Abstract

This paper studies the design of resilient distributed Nash equilibrium (NE) algorithm for second-order multi-agent systems in the presence of Denial-of-Service (DoS) attacks, which prevent information transmission in the network with limited bandwidth and transmission rate. Resilient communication schemes, integrating periodic/event-triggered schemes and a dynamic quantized transmission method, are designed in a distributed NE seeking algorithm to ensure the convergence of agents' strategies to the NE of the game. For the designed two resilient communication schemes, the sufficient conditions for the convergence of the algorithm are established, and the tradeoff between the sampling period and the frequency and duration of DoS attacks is analyzed. Cournot competition with distributed energy resources is used as an example to verify the proposed methods.