Maximum Entropy Heterogeneous-Agent Reinforcement Learning
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Abstract (arXiv)
Multi-agent reinforcement learning (MARL) has been shown effective for cooperative games in recent years. However, existing state-of-the-art methods face challenges related to sample complexity, training instability, and the risk of converging to a suboptimal Nash Equilibrium. In this paper, we propose a unified framework for learning stochastic policies to resolve these issues. We embed cooperative MARL problems into probabilistic graphical models, from which we derive the maximum entropy (MaxEnt) objective for MARL. Based on the MaxEnt framework, we propose Heterogeneous-Agent Soft Actor-Critic (HASAC) algorithm. Theoretically, we prove the monotonic improvement and convergence to quantal response equilibrium (QRE) properties of HASAC. Furthermore, we generalize a unified template for MaxEnt algorithmic design named Maximum Entropy Heterogeneous-Agent Mirror Learning (MEHAML), which provides any induced method with the same guarantees as HASAC. We evaluate HASAC on six benchmarks: Bi-DexHands, Multi-Agent MuJoCo, StarCraft Multi-Agent Challenge, Google Research Football, Multi-Agent Particle Environment, and Light Aircraft Game. Results show that HASAC consistently outperforms strong baselines, exhibiting better sample efficiency, robustness, and sufficient exploration. See our page at https://sites.google.com/view/meharl.
Key facts. Cited by 19 papers in the map (data through 14 Oct 2026). Builds on 31 of its 48 references that are in the map. First posted on arXiv 19 Jun 2023.
Builds on
31 of 48 references.
References · 31
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
- 2016Categorical Reparameterization with Gumbel-Softmaxcited by 2,739
- 2017Multi-Agent Actor-Critic for Mixed Cooperative-Competitive Environmentscited by 1,558
- 2018Soft Actor-Critic Algorithms and Applicationscited by 1,240
- 2021The Surprising Effectiveness of PPO in Cooperative, Multi-Agent Gamescited by 942
- 2017Counterfactual Multi-Agent Policy Gradientscited by 751
- 2018QMIX: Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learningcited by 708
- 2017Reinforcement Learning with Deep Energy-Based Policiescited by 669
- 2019The StarCraft Multi-Agent Challengecited by 597
- 2018Reinforcement Learning and Control as Probabilistic Inference: Tutorial and Reviewcited by 482
- 2019QTRAN: Learning to Factorize with Transformation for Cooperative Multi-Agent Reinforcement Learningcited by 379
- 2020QPLEX: Duplex Dueling Multi-Agent Q-Learningcited by 270
19 more
- 2019Google Research Football: A Novel Reinforcement Learning Environmentcited by 260
- 2020PettingZoo: Gym for Multi-Agent Reinforcement Learningcited by 220
- 2018Mean Field Multi-Agent Reinforcement Learningcited by 207
- 2021Trust Region Policy Optimisation in Multi-Agent Reinforcement Learningcited by 186
- 2017Bridging the Gap Between Value and Policy Based Reinforcement Learningcited by 182
- 2022Towards Human-Level Bimanual Dexterous Manipulation with Reinforcement Learningcited by 119
- 2020Off-Policy Multi-Agent Decomposed Policy Gradientscited by 98
- 2020Qatten: A General Framework for Cooperative Multiagent Reinforcement Learningcited by 81
- 2019Probabilistic Recursive Reasoning for Multi-Agent Reinforcement Learningcited by 68
- 2020Value-Decomposition Multi-Agent Actor-Criticscited by 48
- 2021Settling the Variance of Multi-Agent Policy Gradientscited by 45
- 2019Bi-level Actor-Critic for Multi-agent Coordinationcited by 39
- 2022Mirror Learning: A Unifying Framework of Policy Optimisationcited by 31
- 2018Multiagent Soft Q-Learningcited by 26
- 2019Modelling Bounded Rationality in Multi-Agent Interactions by Generalized Recursive Reasoningcited by 24
- 2023Order Matters: Agent-by-agent Policy Optimizationcited by 24
- 2022More Centralized Training, Still Decentralized Execution: Multi-Agent Conditional Policy Factorizationcited by 19
- 2021Coordinated Proximal Policy Optimizationcited by 16
- 2022Heterogeneous-Agent Mirror Learning: A Continuum of Solutions to Cooperative MARLcited by 12
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Citing papers per year: 2024: 1; 2025: 9; 2026: 9.
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- 2025Revisiting Multi-Agent World Modeling from a Diffusion-Inspired Perspectivecited by 9
- 2024Safe Multi-Agent Reinforcement Learning with Convergence to Generalized Nash Equilibriumcited by 6
- 2025Multi-level Value Alignment in Agentic AI Systems: Survey and Perspectivescited by 5
- 2025Sequential Multi-Agent Dynamic Algorithm Configurationcited by 3
- 2026Diffusing to Coordinate: Efficient Online Multi-Agent Diffusion Policiescited by 3
- 2025Decentralized Consensus Inference-based Hierarchical Reinforcement Learning for Multi-Constrained UAV Pursuit-Evasion Gamecited by 2
- 2026Bridging MARL to SARL: An Order-Independent Multi-Agent Transformer via Latent Consensuscited by 2
- 2025Beyond Shallow Behavior: Task-Efficient Value-Based Multi-Task Offline MARL via Skill Discoverycited by 1
- 2025Toward Adaptable Multi-Agent Reinforcement Learning: An Assumption-Aware Reviewcited by 1
- 2025From Solo to Symphony: Orchestrating Multi-Agent Collaboration with Single-Agent Demoscited by 1
- 2026Decentralized Diffusion Policy Learning for Enhanced Exploration in Cooperative Multi-agent Reinforcement Learningcited by 1
- 2025Embedded Mean Field Reinforcement Learning for Perimeter-defense Gamecited by 0
7 more
- 2025Oryx: a Scalable Sequence Model for Many-Agent Coordination in Offline MARLcited by 0
- 2026Hierarchical Lead Critic based Multi-Agent Reinforcement Learningcited by 0
- 2026GRASP: Gradient Realignment via Active Shared Perception for Multi-Agent Collaborative Optimizationcited by 0
- 2026Quality-Aware Exploration Budget Allocation for Cooperative Multi-Agent Reinforcement Learningcited by 0
- 2026ACPO: Agent-Chained Policy Optimization for Multi-Agent Reinforcement Learningcited by 0
- 2026VERA: Verifiable Feasibility Representations with Counterfactual Credit for Constrained Multi-Agent Controlcited by 0
- 2026Flowing Faster to Coordinate: One-Step Online Multi-Agent Flow Policiescited by 0
- 2026Flowing Faster to Coordinate: One-Step Online Multi-Agent Flow Policies1 Oct 2026
- 2026VERA: Verifiable Feasibility Representations with Counterfactual Credit for Constrained Multi-Agent Control30 Sep 2026
- 2026ACPO: Agent-Chained Policy Optimization for Multi-Agent Reinforcement Learning29 Jun 2026
- 2026Decentralized Diffusion Policy Learning for Enhanced Exploration in Cooperative Multi-agent Reinforcement Learning8 May 2026
- 2026Quality-Aware Exploration Budget Allocation for Cooperative Multi-Agent Reinforcement Learning3 May 2026
- 2026Bridging MARL to SARL: An Order-Independent Multi-Agent Transformer via Latent Consensus15 Apr 2026
- 2026GRASP: Gradient Realignment via Active Shared Perception for Multi-Agent Collaborative Optimization1 Apr 2026
- 2026Hierarchical Lead Critic based Multi-Agent Reinforcement Learning25 Feb 2026
- 2026Diffusing to Coordinate: Efficient Online Multi-Agent Diffusion Policies20 Feb 2026
- 2025From Solo to Symphony: Orchestrating Multi-Agent Collaboration with Single-Agent Demos4 Nov 2025
- 2025Sequential Multi-Agent Dynamic Algorithm Configuration27 Oct 2025
- 2025Toward Adaptable Multi-Agent Reinforcement Learning: An Assumption-Aware Review14 Jul 2025
7 more
- 2025Decentralized Consensus Inference-based Hierarchical Reinforcement Learning for Multi-Constrained UAV Pursuit-Evasion Game22 Jun 2025
- 2025Multi-level Value Alignment in Agentic AI Systems: Survey and Perspectives11 Jun 2025
- 2025Oryx: a Scalable Sequence Model for Many-Agent Coordination in Offline MARL28 May 2025
- 2025Revisiting Multi-Agent World Modeling from a Diffusion-Inspired Perspective27 May 2025
- 2025Embedded Mean Field Reinforcement Learning for Perimeter-defense Game20 May 2025
- 2025Beyond Shallow Behavior: Task-Efficient Value-Based Multi-Task Offline MARL via Skill Discovery13 Feb 2025
- 2024Safe Multi-Agent Reinforcement Learning with Convergence to Generalized Nash Equilibrium22 Nov 2024
- 2024Safe Multi-Agent Reinforcement Learning with Convergence to Generalized Nash Equilibriumcited by 6
- 2025Sequential Multi-Agent Dynamic Algorithm Configurationcited by 3
- 2026Bridging MARL to SARL: An Order-Independent Multi-Agent Transformer via Latent Consensuscited by 2
- 2025Toward Adaptable Multi-Agent Reinforcement Learning: An Assumption-Aware Reviewcited by 1
- 2025From Solo to Symphony: Orchestrating Multi-Agent Collaboration with Single-Agent Demoscited by 1
- 2026Hierarchical Lead Critic based Multi-Agent Reinforcement Learningcited by 0
- 2026GRASP: Gradient Realignment via Active Shared Perception for Multi-Agent Collaborative Optimizationcited by 0
- 2026Quality-Aware Exploration Budget Allocation for Cooperative Multi-Agent Reinforcement Learningcited by 0
- 2026ACPO: Agent-Chained Policy Optimization for Multi-Agent Reinforcement Learningcited by 0
- 2026VERA: Verifiable Feasibility Representations with Counterfactual Credit for Constrained Multi-Agent Controlcited by 0
- 2026Flowing Faster to Coordinate: One-Step Online Multi-Agent Flow Policiescited by 0
- 2026Flowing Faster to Coordinate: One-Step Online Multi-Agent Flow Policies1 Oct 2026
- 2026VERA: Verifiable Feasibility Representations with Counterfactual Credit for Constrained Multi-Agent Control30 Sep 2026
- 2026ACPO: Agent-Chained Policy Optimization for Multi-Agent Reinforcement Learning29 Jun 2026
- 2026Quality-Aware Exploration Budget Allocation for Cooperative Multi-Agent Reinforcement Learning3 May 2026
- 2026Bridging MARL to SARL: An Order-Independent Multi-Agent Transformer via Latent Consensus15 Apr 2026
- 2026GRASP: Gradient Realignment via Active Shared Perception for Multi-Agent Collaborative Optimization1 Apr 2026
- 2026Hierarchical Lead Critic based Multi-Agent Reinforcement Learning25 Feb 2026
- 2025From Solo to Symphony: Orchestrating Multi-Agent Collaboration with Single-Agent Demos4 Nov 2025
- 2025Sequential Multi-Agent Dynamic Algorithm Configuration27 Oct 2025
- 2025Toward Adaptable Multi-Agent Reinforcement Learning: An Assumption-Aware Review14 Jul 2025
- 2024Safe Multi-Agent Reinforcement Learning with Convergence to Generalized Nash Equilibrium22 Nov 2024