Deep Coordination Graphs
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Abstract (arXiv)
This paper introduces the deep coordination graph (DCG) for collaborative multi-agent reinforcement learning. DCG strikes a flexible trade-off between representational capacity and generalization by factoring the joint value function of all agents according to a coordination graph into payoffs between pairs of agents. The value can be maximized by local message passing along the graph, which allows training of the value function end-to-end with Q-learning. Payoff functions are approximated with deep neural networks that employ parameter sharing and low-rank approximations to significantly improve sample efficiency. We show that DCG can solve predator-prey tasks that highlight the relative overgeneralization pathology, as well as challenging StarCraft II micromanagement tasks.
Key facts. Cited by 96 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Sep 2019.
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Citing papers per year: 2021: 18; 2022: 23; 2023: 14; 2024: 13; 2025: 16; 2026: 12.
96 papers.
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- 2021Celebrating Diversity in Shared Multi-Agent Reinforcement Learningcited by 96
- 2021Rethinking the Implementation Tricks and Monotonicity Constraint in Cooperative Multi-Agent Reinforcement Learningcited by 68
- 2022Towards a Standardised Performance Evaluation Protocol for Cooperative MARLcited by 48
- 2021Learning Long-Term Reward Redistribution via Randomized Return Decompositioncited by 33
- 2023Multi-agent Reinforcement Learning: A Comprehensive Surveycited by 30
- 2021Context-Aware Sparse Deep Coordination Graphscited by 27
- 2022Challenges and Opportunities in Deep Reinforcement Learning with Graph Neural Networks: A Comprehensive review of Algorithms and Applicationscited by 27
- 2023A Review of Cooperation in Multi-agent Learningcited by 27
- 2021SHAQ: Incorporating Shapley Value Theory into Multi-Agent Q-Learningcited by 26
- 2021Multi-Agent MDP Homomorphic Networkscited by 24
- 2022Maximum Class Separation as Inductive Bias in One Matrixcited by 21
- 2022Solving Continuous Control via Q-learningcited by 21
38 more
- 2023MAC-PO: Multi-Agent Experience Replay via Collective Priority Optimizationcited by 20
- 2023Graph Decision Transformercited by 20
- 2022More Centralized Training, Still Decentralized Execution: Multi-Agent Conditional Policy Factorizationcited by 19
- 2024AdaSociety: An Adaptive Environment with Social Structures for Multi-Agent Decision-Makingcited by 19
- 2021Mis-spoke or mis-lead: Achieving Robustness in Multi-Agent Communicative Reinforcement Learningcited by 18
- 2023Is Centralized Training with Decentralized Execution Framework Centralized Enough for MARL?cited by 18
- 2024Group-Aware Coordination Graph for Multi-Agent Reinforcement Learningcited by 17
- 2022Equivariant Networks for Zero-Shot Coordinationcited by 16
- 2022ACE: Cooperative Multi-agent Q-learning with Bidirectional Action-Dependencycited by 15
- 2025CoLLMLight: Cooperative Large Language Model Agents for Network-Wide Traffic Signal Controlcited by 15
- 2021Self-Organized Polynomial-Time Coordination Graphscited by 14
- 2022QGNN: Value Function Factorisation with Graph Neural Networkscited by 14
- 2022Multi-Agent Coordination via Multi-Level Communicationcited by 14
- 2022Pareto Actor-Critic for Equilibrium Selection in Multi-Agent Reinforcement Learningcited by 14
- 2022Collaborative Uncertainty Benefits Multi-Agent Multi-Modal Trajectory Forecastingcited by 13
- 2022Value Functions Factorization with Latent State Information Sharing in Decentralized Multi-Agent Policy Gradientscited by 12
- 2022A Survey on Large-Population Systems and Scalable Multi-Agent Reinforcement Learningcited by 12
- 2022A General Learning Framework for Open Ad Hoc Teamwork Using Graph-based Policy Learningcited by 12
- 2023Tackling Cooperative Incompatibility for Zero-Shot Human-AI Coordinationcited by 12
- 2021Learning Emergent Discrete Message Communication for Cooperative Reinforcement Learningcited by 11
- 2022Non-Linear Coordination Graphscited by 10
- 2022Leveraging Smooth Attention Prior for Multi-Agent Trajectory Predictioncited by 9
- 2024Multi-Sender Persuasion: A Computational Perspectivecited by 9
- 2023Semantically Aligned Task Decomposition in Multi-Agent Reinforcement Learningcited by 8
- 2021Coordinated Reinforcement Learning for Optimizing Mobile Networkscited by 7
- 2023Partially Observable Mean Field Multi-Agent Reinforcement Learning Based on Graph-Attentioncited by 7
- 2022Breaking the Curse of Dimensionality in Multiagent State Space: A Unified Agent Permutation Frameworkcited by 6
- 2024Growing Q-Networks: Solving Continuous Control Tasks with Adaptive Control Resolutioncited by 6
- 2024Grounded Answers for Multi-agent Decision-making Problem through Generative World Modelcited by 6
- 2025BMG-Q: Localized Bipartite Match Graph Attention Q-Learning for Ride-Pooling Order Dispatchcited by 6
- 2025Deep Meta Coordination Graphs for Multi-agent Reinforcement Learningcited by 6
- 2021Scalable Anytime Planning for Multi-Agent MDPscited by 5
- 2021Dealing with Non-Stationarity in MARL via Trust-Region Decompositioncited by 5
- 2021Learning to Coordinate via Multiple Graph Neural Networkscited by 5
- 2022Learning to Transfer Role Assignment Across Team Sizescited by 5
- 2024Fully Decentralized Cooperative Multi-Agent Reinforcement Learning: A Surveycited by 5
- 2024AgentMixer: Multi-Agent Correlated Policy Factorizationcited by 5
- 2024Inferring Latent Temporal Sparse Coordination Graph for Multi-Agent Reinforcement Learningcited by 5
50 most cited of 96 All 96 (JSON)
- 2026Robust and Efficient Communication for Multi-Agent Learning14 Sep 2026
- 2026Coordination Graphs for Constrained Multi-Agent Reinforcement Learning1 Jun 2026
- 2026Generalized Intention Modeling in Multi-Agent Reinforcement Learning29 May 2026
- 2026Heterogeneous Information-Bottleneck Coordination Graphs for Multi-Agent Reinforcement Learning17 May 2026
- 2026SACHI: Structured Agent Coordination via Holistic Information Integration in Multi-Agent Reinforcement Learning8 May 2026
- 2026Do LLM-derived graph priors improve multi-agent coordination?19 Apr 2026
- 2026Wireless Communication Enhanced Value Decomposition for Multi-Agent Reinforcement Learning9 Apr 2026
- 2026Breakthrough the Suboptimal Stable Point in Value-Factorization-Based Multi-Agent Reinforcement Learning7 Apr 2026
- 2026A Recipe for Stable Offline Multi-agent Reinforcement Learning9 Mar 2026
- 2026Action-Graph Policies: Learning Action Co-dependencies in Multi-Agent Reinforcement Learning19 Feb 2026
- 2026Explicit Credit Assignment through Local Rewards and Dependence Graphs in Multi-Agent Reinforcement Learning29 Jan 2026
- 2026Factored Value Functions for Graph-Based Multi-Agent Reinforcement Learning16 Jan 2026
38 more
- 2025Bandwidth-constrained Variational Message Encoding for Cooperative Multi-agent Reinforcement Learning11 Dec 2025
- 2025Goal-Oriented Multi-Agent Reinforcement Learning for Decentralized Agent Teams15 Nov 2025
- 2025Who Gets the Reward & Who Gets the Blame? Evaluation-Aligned Training Signals for Multi-LLM Agents11 Nov 2025
- 2025Structured Cooperative Multi-Agent Reinforcement Learning: a Bayesian Network Perspective11 Oct 2025
- 2025Bayesian Ego-graph Inference for Networked Multi-Agent Reinforcement Learning20 Sep 2025
- 2025TransAM: Transformer-Based Agent Modeling for Multi-Agent Systems via Local Trajectory Encoding4 Aug 2025
- 2025Centralized Adaptive Sampling for Reliable Co-Training of Independent Multi-Agent Policies1 Aug 2025
- 2025Cooperative Game-Theoretic Credit Assignment for Multi-Agent Policy Gradients via the Core3 Jun 2025
- 2025Action Dependency Graphs for Globally Optimal Coordinated Reinforcement Learning1 Jun 2025
- 2025Learning Multi-Robot Coordination through Locality-Based Factorized Multi-Agent Actor-Critic Algorithm24 Mar 2025
- 2025CoLLMLight: Cooperative Large Language Model Agents for Network-Wide Traffic Signal Control14 Mar 2025
- 2025Nucleolus Credit Assignment for Effective Coalitions in Multi-agent Reinforcement Learning1 Mar 2025
- 2025Deep Meta Coordination Graphs for Multi-agent Reinforcement Learning6 Feb 2025
- 2025Contextual Knowledge Sharing in Multi-Agent Reinforcement Learning with Decentralized Communication and Coordination26 Jan 2025
- 2025BMG-Q: Localized Bipartite Match Graph Attention Q-Learning for Ride-Pooling Order Dispatch23 Jan 2025
- 2025Symmetries-enhanced Multi-Agent Reinforcement Learning2 Jan 2025
- 2024AdaSociety: An Adaptive Environment with Social Structures for Multi-Agent Decision-Making6 Nov 2024
- 2024IBGP: Imperfect Byzantine Generals Problem for Zero-Shot Robustness in Communicative Multi-Agent Systems21 Oct 2024
- 2024Grounded Answers for Multi-agent Decision-making Problem through Generative World Model3 Oct 2024
- 2024The Bandit Whisperer: Communication Learning for Restless Bandits11 Aug 2024
- 2024Online Frequency Scheduling by Learning Parallel Actions7 Jun 2024
- 2024Group-Aware Coordination Graph for Multi-Agent Reinforcement Learning17 Apr 2024
- 2024Growing Q-Networks: Solving Continuous Control Tasks with Adaptive Control Resolution5 Apr 2024
- 2024Inferring Latent Temporal Sparse Coordination Graph for Multi-Agent Reinforcement Learning28 Mar 2024
- 2024Social Environment Design21 Feb 2024
- 2024Multi-Sender Persuasion: A Computational Perspective7 Feb 2024
- 2024Attention Graph for Multi-Robot Social Navigation with Deep Reinforcement Learning31 Jan 2024
- 2024AgentMixer: Multi-Agent Correlated Policy Factorization16 Jan 2024
- 2024Fully Decentralized Cooperative Multi-Agent Reinforcement Learning: A Survey10 Jan 2024
- 2023TAPE: Leveraging Agent Topology for Cooperative Multi-Agent Policy Gradient25 Dec 2023
- 2023Multi-agent Reinforcement Learning: A Comprehensive Survey15 Dec 2023
- 2023A Review of Cooperation in Multi-agent Learning8 Dec 2023
- 2023Mediated Multi-Agent Reinforcement Learning14 Jun 2023
- 2023Tackling Cooperative Incompatibility for Zero-Shot Human-AI Coordination5 Jun 2023
- 2023Context-Aware Bayesian Network Actor-Critic Methods for Cooperative Multi-Agent Reinforcement Learning2 Jun 2023
- 2023Is Centralized Training with Decentralized Execution Framework Centralized Enough for MARL?27 May 2023
- 2023Semantically Aligned Task Decomposition in Multi-Agent Reinforcement Learning18 May 2023
- 2023Partially Observable Mean Field Multi-Agent Reinforcement Learning Based on Graph-Attention25 Apr 2023
50 newest of 96 All 96 (JSON)
- 2024AdaSociety: An Adaptive Environment with Social Structures for Multi-Agent Decision-Makingcited by 19
- 2025CoLLMLight: Cooperative Large Language Model Agents for Network-Wide Traffic Signal Controlcited by 15
- 2023Semantically Aligned Task Decomposition in Multi-Agent Reinforcement Learningcited by 8
- 2024IBGP: Imperfect Byzantine Generals Problem for Zero-Shot Robustness in Communicative Multi-Agent Systemscited by 0
- 2025Who Gets the Reward & Who Gets the Blame? Evaluation-Aligned Training Signals for Multi-LLM Agentscited by 0
- 2026Do LLM-derived graph priors improve multi-agent coordination?cited by 0
- 2026Do LLM-derived graph priors improve multi-agent coordination?19 Apr 2026
- 2025Who Gets the Reward & Who Gets the Blame? Evaluation-Aligned Training Signals for Multi-LLM Agents11 Nov 2025
- 2025CoLLMLight: Cooperative Large Language Model Agents for Network-Wide Traffic Signal Control14 Mar 2025
- 2024AdaSociety: An Adaptive Environment with Social Structures for Multi-Agent Decision-Making6 Nov 2024
- 2024IBGP: Imperfect Byzantine Generals Problem for Zero-Shot Robustness in Communicative Multi-Agent Systems21 Oct 2024
- 2023Semantically Aligned Task Decomposition in Multi-Agent Reinforcement Learning18 May 2023
- 2023Graph Decision Transformercited by 20
- 2026A Recipe for Stable Offline Multi-agent Reinforcement Learningcited by 0
- 2026A Recipe for Stable Offline Multi-agent Reinforcement Learning9 Mar 2026
- 2023Graph Decision Transformer7 Mar 2023
- 2021Celebrating Diversity in Shared Multi-Agent Reinforcement Learningcited by 96
- 2021Rethinking the Implementation Tricks and Monotonicity Constraint in Cooperative Multi-Agent Reinforcement Learningcited by 68
- 2022Towards a Standardised Performance Evaluation Protocol for Cooperative MARLcited by 48
- 2021Learning Long-Term Reward Redistribution via Randomized Return Decompositioncited by 33
- 2023Multi-agent Reinforcement Learning: A Comprehensive Surveycited by 30
- 2021Context-Aware Sparse Deep Coordination Graphscited by 27
- 2022Challenges and Opportunities in Deep Reinforcement Learning with Graph Neural Networks: A Comprehensive review of Algorithms and Applicationscited by 27
- 2023A Review of Cooperation in Multi-agent Learningcited by 27
- 2021SHAQ: Incorporating Shapley Value Theory into Multi-Agent Q-Learningcited by 26
- 2021Multi-Agent MDP Homomorphic Networkscited by 24
- 2022Maximum Class Separation as Inductive Bias in One Matrixcited by 21
- 2022Solving Continuous Control via Q-learningcited by 21
12 most cited of 87 All 87 (JSON)
- 2026Robust and Efficient Communication for Multi-Agent Learning14 Sep 2026
- 2026Coordination Graphs for Constrained Multi-Agent Reinforcement Learning1 Jun 2026
- 2026Generalized Intention Modeling in Multi-Agent Reinforcement Learning29 May 2026
- 2026Heterogeneous Information-Bottleneck Coordination Graphs for Multi-Agent Reinforcement Learning17 May 2026
- 2026SACHI: Structured Agent Coordination via Holistic Information Integration in Multi-Agent Reinforcement Learning8 May 2026
- 2026Wireless Communication Enhanced Value Decomposition for Multi-Agent Reinforcement Learning9 Apr 2026
- 2026Breakthrough the Suboptimal Stable Point in Value-Factorization-Based Multi-Agent Reinforcement Learning7 Apr 2026
- 2026Action-Graph Policies: Learning Action Co-dependencies in Multi-Agent Reinforcement Learning19 Feb 2026
- 2026Explicit Credit Assignment through Local Rewards and Dependence Graphs in Multi-Agent Reinforcement Learning29 Jan 2026
- 2026Factored Value Functions for Graph-Based Multi-Agent Reinforcement Learning16 Jan 2026
- 2025Bandwidth-constrained Variational Message Encoding for Cooperative Multi-agent Reinforcement Learning11 Dec 2025
- 2025Goal-Oriented Multi-Agent Reinforcement Learning for Decentralized Agent Teams15 Nov 2025
12 newest of 87 All 87 (JSON)