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The Impact of Exploration on Convergence and Performance of Multi-Agent Q-Learning Dynamics

ICML 2023 · Multi-agent systems and games › Games and equilibria · approach: Learning in Markov games

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
increase exploration rate T in Q-Learning (smooth Q-learning)Network Shapley Game · Network Shapley Game (5 agents, beta=0.2)time-average social welfare (TSW): TSW falls from 3.22 at T=0.1 to 2.0 at T=0.3Hurt
increase exploration rate T in Q-LearningQ-Learning dynamics in general network games · Random network games (N=5 to 20)maximum variation in mixed strategiesHelped
increase exploration rate T in Q-LearningNetwork Chakraborty Game (15 agents) · Network Chakraborty Game, U=7.0, V=8.5TSWHurt
increase exploration rate T in Q-LearningQ-Learning dynamics · Theory: network games with unique interior NEsize of convergence neighbourhood (KL set S_T)Helped
increase exploration rate T in Q-LearningQ-Learning exploitability · Theory: games with unique interior NEchange in exploitability Delta PhiHelped

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