Collective eXplainable AI: Explaining Cooperative Strategies and Agent Contribution in Multiagent Reinforcement Learning with Shapley Values
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Abstract (arXiv)
While Explainable Artificial Intelligence (XAI) is increasingly expanding more areas of application, little has been applied to make deep Reinforcement Learning (RL) more comprehensible. As RL becomes ubiquitous and used in critical and general public applications, it is essential to develop methods that make it better understood and more interpretable. This study proposes a novel approach to explain cooperative strategies in multiagent RL using Shapley values, a game theory concept used in XAI that successfully explains the rationale behind decisions taken by Machine Learning algorithms. Through testing common assumptions of this technique in two cooperation-centered socially challenging multi-agent environments environments, this article argues that Shapley values are a pertinent way to evaluate the contribution of players in a cooperative multi-agent RL context. To palliate the high overhead of this method, Shapley values are approximated using Monte Carlo sampling. Experimental results on Multiagent Particle and Sequential Social Dilemmas show that Shapley values succeed at estimating the contribution of each agent. These results could have implications that go beyond games in economics, (e.g., for non-discriminatory decision making, ethical and responsible AI-derived decisions or policy making under fairness constraints). They also expose how Shapley values only give general explanations about a model and cannot explain a single run, episode nor justify precise actions taken by agents. Future work should focus on addressing these critical aspects.
Key facts. Cited by 25 papers in the map (data through 14 Oct 2026). Builds on 22 of its 50 references that are in the map. First posted on arXiv 4 Oct 2021.
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22 of 50 references.
References · 22
- 2017A Unified Approach to Interpreting Model Predictionscited by 6,555
- 2016"Why Should I Trust You?": Explaining the Predictions of Any Classifiercited by 5,070
- 2015Continuous control with deep reinforcement learningcited by 3,407
- 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,258
- 2017Multi-Agent Actor-Critic for Mixed Cooperative-Competitive Environmentscited by 1,558
- 2019Explainable Artificial Intelligence (XAI): Concepts, Taxonomies, Opportunities and Challenges toward Responsible AIcited by 1,552
- 2018IMPALA: Scalable Distributed Deep-RL with Importance Weighted Actor-Learner Architecturescited by 883
- 2017Deep Reinforcement Learning that Matterscited by 754
- 2020Deep Reinforcement Learning for Autonomous Driving: A Surveycited by 721
- 2019The many Shapley values for model explanationcited by 344
- 2017Multi-agent Reinforcement Learning in Sequential Social Dilemmascited by 209
- 2019Explainable Reinforcement Learning Through a Causal Lenscited by 177
10 more
- 2017Visualizing and Understanding Atari Agentscited by 141
- 2020Explainable Reinforcement Learning: A Surveycited by 141
- 2018Inequity aversion improves cooperation in intertemporal social dilemmascited by 106
- 2020Explainability in Deep Reinforcement Learningcited by 97
- 2019Shapley Q-value: A Local Reward Approach to Solve Global Reward Gamescited by 73
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Citing papers per year: 2022: 7; 2023: 3; 2024: 6; 2025: 4; 2026: 5.
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- 2024Explainable Artificial Intelligence: A Survey of Needs, Techniques, Applications, and Future Directioncited by 46
- 2025Internet of Agents: Fundamentals, Applications, and Challengescited by 31
- 2022MAVIPER: Learning Decision Tree Policies for Interpretable Multi-Agent Reinforcement Learningcited by 12
- 2023Explainable Multi-Agent Reinforcement Learning for Temporal Queriescited by 9
- 2022Explainability in Deep Reinforcement Learning, a Review into Current Methods and Applicationscited by 6
- 2023Multi-Agent Reinforcement Learning: Methods, Applications, Visionary Prospects, and Challengescited by 5
- 2024Explainability of Machine Learning Models under Missing Datacited by 5
- 2023Efficiently Quantifying Individual Agent Importance in Cooperative MARLcited by 4
- 2024Select to Perfect: Imitating desired behavior from large multi-agent datacited by 4
- 2024Explaining Decisions of Agents in Mixed-Motive Gamescited by 4
- 2022Local Interpretable Model Agnostic Shap Explanations for machine learning modelscited by 3
- 2022A Survey on Explainable Reinforcement Learning: Concepts, Algorithms, Challengescited by 3
13 more
- 2022Multi Agent Path Finding using Evolutionary Game Theorycited by 3
- 2025Integrating Counterfactual Simulations with Language Models for Explaining Multi-Agent Behaviourcited by 3
- 2024A Comprehensive Study of Shapley Value in Data Analyticscited by 2
- 2026On the Implicit Reward Overfitting and the Low-rank Dynamics in RLVRcited by 2
- 2022Towards a more efficient computation of individual attribute and policy contribution for post-hoc explanation of cooperative multi-agent systems using Myerson valuescited by 1
- 2024Explaining Reinforcement Learning: A Counterfactual Shapley Values Approachcited by 1
- 2022Explaining Deep Convolutional Neural Networks for Image Classification by Evolving Local Interpretable Model-agnostic Explanationscited by 0
- 2025Cooperative Causal GraphSAGEcited by 0
- 2025Interpretable reinforcement learning for heat pump control through asymmetric differentiable decision treescited by 0
- 2026Interpretable Failure Analysis in Multi-Agent Reinforcement Learning Systemscited by 0
- 2026Themis: An explainable AI-enabled framework for Reinforcement Learning with Human Feedbackcited by 0
- 2026Unveiling Complex Collective Behaviors from Simple Rewardscited by 0
- 2026Collective Autonomous Vehicle Routing Needs Social Awareness for Coexistence with Human Driverscited by 0
- 2026Collective Autonomous Vehicle Routing Needs Social Awareness for Coexistence with Human Drivers9 Oct 2026
- 2026Unveiling Complex Collective Behaviors from Simple Rewards14 Jul 2026
- 2026Themis: An explainable AI-enabled framework for Reinforcement Learning with Human Feedback23 Jun 2026
- 2026On the Implicit Reward Overfitting and the Low-rank Dynamics in RLVR7 May 2026
- 2026Interpretable Failure Analysis in Multi-Agent Reinforcement Learning Systems8 Feb 2026
- 2025Interpretable reinforcement learning for heat pump control through asymmetric differentiable decision trees2 Jun 2025
- 2025Integrating Counterfactual Simulations with Language Models for Explaining Multi-Agent Behaviour23 May 2025
- 2025Cooperative Causal GraphSAGE20 May 2025
- 2025Internet of Agents: Fundamentals, Applications, and Challenges12 May 2025
- 2024A Comprehensive Study of Shapley Value in Data Analytics2 Dec 2024
- 2024Explainable Artificial Intelligence: A Survey of Needs, Techniques, Applications, and Future Direction30 Aug 2024
- 2024Explaining Reinforcement Learning: A Counterfactual Shapley Values Approach5 Aug 2024
13 more
- 2024Explaining Decisions of Agents in Mixed-Motive Games21 Jul 2024
- 2024Explainability of Machine Learning Models under Missing Data29 Jun 2024
- 2024Select to Perfect: Imitating desired behavior from large multi-agent data6 May 2024
- 2023Efficiently Quantifying Individual Agent Importance in Cooperative MARL13 Dec 2023
- 2023Explainable Multi-Agent Reinforcement Learning for Temporal Queries17 May 2023
- 2023Multi-Agent Reinforcement Learning: Methods, Applications, Visionary Prospects, and Challenges17 May 2023
- 2022Towards a more efficient computation of individual attribute and policy contribution for post-hoc explanation of cooperative multi-agent systems using Myerson values6 Dec 2022
- 2022Multi Agent Path Finding using Evolutionary Game Theory5 Dec 2022
- 2022Explaining Deep Convolutional Neural Networks for Image Classification by Evolving Local Interpretable Model-agnostic Explanations28 Nov 2022
- 2022A Survey on Explainable Reinforcement Learning: Concepts, Algorithms, Challenges12 Nov 2022
- 2022Local Interpretable Model Agnostic Shap Explanations for machine learning models10 Oct 2022
- 2022Explainability in Deep Reinforcement Learning, a Review into Current Methods and Applications5 Jul 2022
- 2022MAVIPER: Learning Decision Tree Policies for Interpretable Multi-Agent Reinforcement Learning25 May 2022
- 2024Explainable Artificial Intelligence: A Survey of Needs, Techniques, Applications, and Future Directioncited by 46
- 2022MAVIPER: Learning Decision Tree Policies for Interpretable Multi-Agent Reinforcement Learningcited by 12
- 2023Explainable Multi-Agent Reinforcement Learning for Temporal Queriescited by 9
- 2022Explainability in Deep Reinforcement Learning, a Review into Current Methods and Applicationscited by 6
- 2023Multi-Agent Reinforcement Learning: Methods, Applications, Visionary Prospects, and Challengescited by 5
- 2024Explainability of Machine Learning Models under Missing Datacited by 5
- 2023Efficiently Quantifying Individual Agent Importance in Cooperative MARLcited by 4
- 2024Select to Perfect: Imitating desired behavior from large multi-agent datacited by 4
- 2024Explaining Decisions of Agents in Mixed-Motive Gamescited by 4
- 2022Local Interpretable Model Agnostic Shap Explanations for machine learning modelscited by 3
- 2022A Survey on Explainable Reinforcement Learning: Concepts, Algorithms, Challengescited by 3
- 2022Multi Agent Path Finding using Evolutionary Game Theorycited by 3
12 most cited of 17 All 17 (JSON)
- 2026Interpretable Failure Analysis in Multi-Agent Reinforcement Learning Systems8 Feb 2026
- 2025Cooperative Causal GraphSAGE20 May 2025
- 2024A Comprehensive Study of Shapley Value in Data Analytics2 Dec 2024
- 2024Explainable Artificial Intelligence: A Survey of Needs, Techniques, Applications, and Future Direction30 Aug 2024
- 2024Explaining Decisions of Agents in Mixed-Motive Games21 Jul 2024
- 2024Explainability of Machine Learning Models under Missing Data29 Jun 2024
- 2024Select to Perfect: Imitating desired behavior from large multi-agent data6 May 2024
- 2023Efficiently Quantifying Individual Agent Importance in Cooperative MARL13 Dec 2023
- 2023Explainable Multi-Agent Reinforcement Learning for Temporal Queries17 May 2023
- 2023Multi-Agent Reinforcement Learning: Methods, Applications, Visionary Prospects, and Challenges17 May 2023
- 2022Towards a more efficient computation of individual attribute and policy contribution for post-hoc explanation of cooperative multi-agent systems using Myerson values6 Dec 2022
- 2022Multi Agent Path Finding using Evolutionary Game Theory5 Dec 2022
12 newest of 17 All 17 (JSON)