Research map / Bandits and online learning / Online convex optimization and games
Improved Sample Complexity for Markov Games via Variance-Aware Bandit Learning
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AI-extracted summary. Written by AI from the paper's abstract only. Numbers and claims can be wrong or missing context, so check the paper before you cite or build on it.
Improves the sample complexity bound for learning epsilon-approximate CCE in multi-player general-sum Markov games in the simulator setting using variance-aware bandit learning.
Problem
Sample complexity of learning an epsilon-approximate coarse correlated equilibrium in multi-player general-sum Markov games with a simulator; the prior best bound was H^4 S sum A_i / epsilon^2 (Li et al., 2022).
Approach
Applies variance-aware bandit learning techniques to Markov games to tighten the dependence on horizon and state/action sizes in the sample complexity for CCE. Only the abstract was available, so the specific technique is not detailed.
Key results
- Prior best upper bound for epsilon-approximate CCE in the simulator setting is H^4 S sum_i A_i / epsilon^2 (Li et al., 2022); the paper claims an improvement over this bound (exact improved rate not stated in the provided abstract excerpt).
Limitations
- Only the abstract was available; the full technical details and final bound could not be verified.
Experimental setup
Metrics: sample complexity
Baselines: Li et al., 2022
Builds on: Li et al., 2022 (CCE sample complexity in Markov games)
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