Sample-Efficient Reinforcement Learning of Partially Observable Markov Games
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Abstract (arXiv)
This paper considers the challenging tasks of Multi-Agent Reinforcement Learning (MARL) under partial observability, where each agent only sees her own individual observations and actions that reveal incomplete information about the underlying state of system. This paper studies these tasks under the general model of multiplayer general-sum Partially Observable Markov Games (POMGs), which is significantly larger than the standard model of Imperfect Information Extensive-Form Games (IIEFGs). We identify a rich subclass of POMGs -- weakly revealing POMGs -- in which sample-efficient learning is tractable. In the self-play setting, we prove that a simple algorithm combining optimism and Maximum Likelihood Estimation (MLE) is sufficient to find approximate Nash equilibria, correlated equilibria, as well as coarse correlated equilibria of weakly revealing POMGs, in a polynomial number of samples when the number of agents is small. In the setting of playing against adversarial opponents, we show that a variant of our optimistic MLE algorithm is capable of achieving sublinear regret when being compared against the optimal maximin policies. To our best knowledge, this work provides the first line of sample-efficient results for learning POMGs.
Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). Builds on 29 of its 60 references that are in the map. First posted on arXiv 2 Jun 2022.
Builds on
29 of 60 references.
References · 29
- 2019Dota 2 with Large Scale Deep Reinforcement Learningcited by 1,103
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- 2017Minimax Regret Bounds for Reinforcement Learningcited by 503
- 2018Is Q-learning Provably Efficient?cited by 487
- 2016Safe, Multi-Agent, Reinforcement Learning for Autonomous Drivingcited by 311
- 2016Contextual Decision Processes with Low Bellman Rank are PAC-Learnablecited by 292
- 2021Bellman Eluder Dimension: New Rich Classes of RL Problems, and Sample-Efficient Algorithmscited by 223
- 2020Learning Near Optimal Policies with Low Inherent Bellman Errorcited by 181
- 2017Unifying PAC and Regret: Uniform PAC Bounds for Episodic Reinforcement Learningcited by 176
- 2021V-Learning -- A Simple, Efficient, Decentralized Algorithm for Multiagent RLcited by 114
- 2020Provable Self-Play Algorithms for Competitive Reinforcement Learningcited by 113
- 2020Near-Optimal Reinforcement Learning with Self-Playcited by 109
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- 2020A Sharp Analysis of Model-based Reinforcement Learning with Self-Playcited by 105
- 2020Learning Zero-Sum Simultaneous-Move Markov Games Using Function Approximation and Correlated Equilibriumcited by 100
- 2022When Is Partially Observable Reinforcement Learning Not Scary?cited by 100
- 2017Online Reinforcement Learning in Stochastic Gamescited by 67
- 2021When Can We Learn General-Sum Markov Games with a Large Number of Players Sample-Efficiently?cited by 67
- 2020Sample-Efficient Reinforcement Learning of Undercomplete POMDPscited by 66
- 2020Faster Game Solving via Predictive Blackwell Approachability: Connecting Regret Matching and Mirror Descentcited by 57
- 2016Reinforcement Learning of POMDPs using Spectral Methodscited by 52
- 2022The Complexity of Markov Equilibrium in Stochastic Gamescited by 49
- 2021The Power of Exploiter: Provable Multi-Agent RL in Large State Spacescited by 48
- 2016A PAC RL Algorithm for Episodic POMDPscited by 37
- 2022Near-Optimal Learning of Extensive-Form Games with Imperfect Informationcited by 26
- 2021Model-Free Learning for Two-Player Zero-Sum Partially Observable Markov Games with Perfect Recallcited by 21
- 2022Learning Markov Games with Adversarial Opponents: Efficient Algorithms and Fundamental Limitscited by 17
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- 2017Learning for Multi-robot Cooperation in Partially Observable Stochastic Environments with Macro-actionscited by 8
- 2015Timeability of Extensive-Form Gamescited by 7
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Citing papers per year: 2022: 1; 2023: 9; 2024: 4; 2025: 6; 2026: 7.
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- 2022Partially Observable RL with B-Stability: Unified Structural Condition and Sharp Sample-Efficient Algorithms29 Sep 2022
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- 2026Independent Learning of Nash Equilibria in Partially Observable Markov Potential Games with Decoupled Dynamics7 May 2026
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- 2025Statistical Tractability of Off-policy Evaluation of History-dependent Policies in POMDPs3 Mar 2025
- 2024Lyapunov-based reinforcement learning for distributed control with stability guarantee14 Dec 2024
- 2023Is RLHF More Difficult than Standard RL?cited by 96
- 2023Making RL with Preference-based Feedback Efficient via Randomizationcited by 46
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- 2023Is RLHF More Difficult than Standard RL?25 Jun 2023
- 2022Partially Observable RL with B-Stability: Unified Structural Condition and Sharp Sample-Efficient Algorithmscited by 24
- 2023Lower Bounds for Learning in Revealing POMDPscited by 15
- 2023On the Statistical Efficiency of Mean-Field Reinforcement Learning with General Function Approximationcited by 14
- 2023Provably Efficient UCB-type Algorithms For Learning Predictive State Representationscited by 6
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- 2023Posterior Sampling for Competitive RL: Function Approximation and Partial Observationcited by 3
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