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A Natural Actor-Critic Framework for Zero-Sum Markov Games

ICML 2022 · Reinforcement learning › Policy gradient and actor-critic · approach: Actor-critic theory

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use natural actor-critic (softmax/KL update) with FoRB stage 1 and NPG stage 2 instead of Euclidean projected PG, under Assumption 2.1 and 3.3two-player zero-sum Markov games (tabular) · theoretical sample complexitysample complexity to epsilon-NashHelped
Add ζ-greedy exploration and drop the uniform policy lower bound (Assumption 3.3)Reflected NAC · theoretical sample complexitysample complexity to epsilon-Nash: ϵ^-4 instead of ϵ^-2Hurt
Use fresh TD(0) value estimates at every inner iteration of stage 1 rather than reusing a stage-2 estimateReflected NAC stage 1 · theoretical analysisbias bound on value estimateHelped
Numerical: Reflected NAC vs OGDA and REINFORCE on bandits and AlesiaReflected NAC · 100-arm bandit and Alesia (L=3, C=6)convergence speed (probability of optimal action / suboptimality gap)Helped

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