Accelerating Nash Q-Learning with Graphical Game Representation and Equilibrium Solving

Abstract

Traditional Nash Q-learning algorithm generally accepts a fact that agents are tightly coupled, which brings huge computing burden. However, many multi-agent systems in the real world have sparse interactions between agents. In this paper, sparse interactions are divided into two categories: intra-group sparse interactions and inter-group sparse interactions. Previous methods can only deal with one specific type of sparse interactions. Aiming at characterizing the two categories of sparse interactions, we use a novel mathematical model called Markov graphical game. On this basis, graphical game-based Nash Q-learning is proposed to deal with different types of interactions. Experimental results show that our algorithm takes less time per episode and acquires a good policy.