Decentralized Q-Learning for Stochastic Teams and Games
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Abstract (arXiv)
There are only a few learning algorithms applicable to stochastic dynamic teams and games which generalize Markov decision processes to decentralized stochastic control problems involving possibly self-interested decision makers. Learning in games is generally difficult because of the non-stationary environment in which each decision maker aims to learn its optimal decisions with minimal information in the presence of the other decision makers who are also learning. In stochastic dynamic games, learning is more challenging because, while learning, the decision makers alter the state of the system and hence the future cost. In this paper, we present decentralized Q-learning algorithms for stochastic games, and study their convergence for the weakly acyclic case which includes team problems as an important special case. The algorithm is decentralized in that each decision maker has access to only its local information, the state information, and the local cost realizations; furthermore, it is completely oblivious to the presence of other decision makers. We show that these algorithms converge to equilibrium policies almost surely in large classes of stochastic games.
Key facts. Cited by 34 papers in the map (data through 7 Oct 2026). First posted on arXiv 25 Jun 2015.
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Citing papers per year: 2021: 11; 2022: 6; 2023: 6; 2024: 4; 2025: 6; 2026: 1.
34 papers.
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- 2021Independent Policy Gradient Methods for Competitive Reinforcement Learningcited by 97
- 2021Decentralized Q-Learning in Zero-sum Markov Gamescited by 53
- 2021Provably Efficient Reinforcement Learning in Decentralized General-Sum Markov Gamescited by 42
- 2021On Improving Model-Free Algorithms for Decentralized Multi-Agent Reinforcement Learningcited by 35
- 2021Gradient play in stochastic games: stationary points, convergence, and sample complexitycited by 32
- 2023Uncoupled and Convergent Learning in Two-Player Zero-Sum Markov Games with Bandit Feedbackcited by 28
- 2021Multi-Agent Reinforcement Learning with Temporal Logic Specificationscited by 27
- 2021Independent Learning in Stochastic Gamescited by 20
- 2022Independent and Decentralized Learning in Markov Potential Gamescited by 19
- 2022Oracle-free Reinforcement Learning in Mean-Field Games along a Single Sample Pathcited by 16
- 2023A Finite-Sample Analysis of Payoff-Based Independent Learning in Zero-Sum Stochastic Gamescited by 15
- 2022Independent Natural Policy Gradient Methods for Potential Games: Finite-time Global Convergence with Entropy Regularizationcited by 10
22 more
- 2021Satisficing Paths and Independent Multi-Agent Reinforcement Learning in Stochastic Gamescited by 9
- 2021MDPGT: Momentum-based Decentralized Policy Gradient Trackingcited by 6
- 2023Markov α-Potential Gamescited by 6
- 2021Provably Efficient Multi-Agent Reinforcement Learning with Fully Decentralized Communicationcited by 5
- 2023Q-Learning for Stochastic Control under General Information Structures and Non-Markovian Environmentscited by 5
- 2024Fully Decentralized Cooperative Multi-Agent Reinforcement Learning: A Surveycited by 5
- 2021Finite-Sample Analysis of Decentralized Q-Learning for Stochastic Gamescited by 4
- 2023Unsynchronized Decentralized Q-Learning: Two Timescale Analysis By Persistencecited by 3
- 2024Convergence of Decentralized Actor-Critic Algorithm in General-sum Markov Gamescited by 2
- 2024Paths to Equilibrium in Gamescited by 1
- 2022Deep Q-learning of global optimizer of multiply model parameters for viscoelastic imagingcited by 0
- 2022Deep Reinforcement Learning for Distributed and Uncoordinated Cognitive Radios Resource Allocationcited by 0
- 2022Knowing the Past to Predict the Future: Reinforcement Virtual Learningcited by 0
- 2023Decentralized Multi-Agent Reinforcement Learning for Continuous-Space Stochastic Gamescited by 0
- 2024The Bounds of Algorithmic Collusion; Q-learning, Gradient Learning, and the Folk Theoremcited by 0
- 2025Q-MARL: A quantum-inspired algorithm using neural message passing for large-scale multi-agent reinforcement learningcited by 0
- 2025Policy Optimization and Multi-agent Reinforcement Learning for Mean-variance Team Stochastic Gamescited by 0
- 2025Finite-Time Global Optimality Convergence in Deep Neural Actor-Critic Methods for Decentralized Multi-Agent Reinforcement Learningcited by 0
- 2025Grouped Satisficing Paths in Pure Strategy Games: a Topological Perspectivecited by 0
- 2025Local Reinforcement Learning with Action-Conditioned Root Mean Squared Q-Functionscited by 0
- 2025Aspiration-based Perturbed Learning Automata in Games with Noisy Utility Measurements. Part A: Stochastic Stability in Non-zero-Sum Gamescited by 0
- 2026Actor-Dual-Critic Dynamics for Zero-sum and Identical-Interest Stochastic Gamescited by 0
- 2026Actor-Dual-Critic Dynamics for Zero-sum and Identical-Interest Stochastic Games31 Jan 2026
- 2025Aspiration-based Perturbed Learning Automata in Games with Noisy Utility Measurements. Part A: Stochastic Stability in Non-zero-Sum Games31 Oct 2025
- 2025Local Reinforcement Learning with Action-Conditioned Root Mean Squared Q-Functions8 Oct 2025
- 2025Grouped Satisficing Paths in Pure Strategy Games: a Topological Perspective27 Sep 2025
- 2025Finite-Time Global Optimality Convergence in Deep Neural Actor-Critic Methods for Decentralized Multi-Agent Reinforcement Learning24 May 2025
- 2025Policy Optimization and Multi-agent Reinforcement Learning for Mean-variance Team Stochastic Games28 Mar 2025
- 2025Q-MARL: A quantum-inspired algorithm using neural message passing for large-scale multi-agent reinforcement learning10 Mar 2025
- 2024The Bounds of Algorithmic Collusion; Q-learning, Gradient Learning, and the Folk Theorem19 Nov 2024
- 2024Convergence of Decentralized Actor-Critic Algorithm in General-sum Markov Games6 Sep 2024
- 2024Paths to Equilibrium in Games26 Mar 2024
- 2024Fully Decentralized Cooperative Multi-Agent Reinforcement Learning: A Survey10 Jan 2024
- 2023Q-Learning for Stochastic Control under General Information Structures and Non-Markovian Environments31 Oct 2023
22 more
- 2023Unsynchronized Decentralized Q-Learning: Two Timescale Analysis By Persistence7 Aug 2023
- 2023Markov α-Potential Games21 May 2023
- 2023Decentralized Multi-Agent Reinforcement Learning for Continuous-Space Stochastic Games16 Mar 2023
- 2023Uncoupled and Convergent Learning in Two-Player Zero-Sum Markov Games with Bandit Feedback5 Mar 2023
- 2023A Finite-Sample Analysis of Payoff-Based Independent Learning in Zero-Sum Stochastic Games3 Mar 2023
- 2022Knowing the Past to Predict the Future: Reinforcement Virtual Learning2 Nov 2022
- 2022Oracle-free Reinforcement Learning in Mean-Field Games along a Single Sample Path24 Aug 2022
- 2022Independent and Decentralized Learning in Markov Potential Games29 May 2022
- 2022Deep Reinforcement Learning for Distributed and Uncoordinated Cognitive Radios Resource Allocation27 May 2022
- 2022Independent Natural Policy Gradient Methods for Potential Games: Finite-time Global Convergence with Entropy Regularization12 Apr 2022
- 2022Deep Q-learning of global optimizer of multiply model parameters for viscoelastic imaging1 Apr 2022
- 2021Finite-Sample Analysis of Decentralized Q-Learning for Stochastic Games15 Dec 2021
- 2021MDPGT: Momentum-based Decentralized Policy Gradient Tracking6 Dec 2021
- 2021Independent Learning in Stochastic Games23 Nov 2021
- 2021Provably Efficient Multi-Agent Reinforcement Learning with Fully Decentralized Communication14 Oct 2021
- 2021On Improving Model-Free Algorithms for Decentralized Multi-Agent Reinforcement Learning12 Oct 2021
- 2021Provably Efficient Reinforcement Learning in Decentralized General-Sum Markov Games12 Oct 2021
- 2021Satisficing Paths and Independent Multi-Agent Reinforcement Learning in Stochastic Games9 Oct 2021
- 2021Decentralized Q-Learning in Zero-sum Markov Games4 Jun 2021
- 2021Gradient play in stochastic games: stationary points, convergence, and sample complexity1 Jun 2021
- 2021Multi-Agent Reinforcement Learning with Temporal Logic Specifications1 Feb 2021
- 2021Independent Policy Gradient Methods for Competitive Reinforcement Learning11 Jan 2021
- 2021Independent Policy Gradient Methods for Competitive Reinforcement Learningcited by 97
- 2021Decentralized Q-Learning in Zero-sum Markov Gamescited by 53
- 2021Provably Efficient Reinforcement Learning in Decentralized General-Sum Markov Gamescited by 42
- 2021On Improving Model-Free Algorithms for Decentralized Multi-Agent Reinforcement Learningcited by 35
- 2021Gradient play in stochastic games: stationary points, convergence, and sample complexitycited by 32
- 2023Uncoupled and Convergent Learning in Two-Player Zero-Sum Markov Games with Bandit Feedbackcited by 28
- 2021Multi-Agent Reinforcement Learning with Temporal Logic Specificationscited by 27
- 2021Independent Learning in Stochastic Gamescited by 20
- 2022Independent and Decentralized Learning in Markov Potential Gamescited by 19
- 2022Oracle-free Reinforcement Learning in Mean-Field Games along a Single Sample Pathcited by 16
- 2023A Finite-Sample Analysis of Payoff-Based Independent Learning in Zero-Sum Stochastic Gamescited by 15
- 2022Independent Natural Policy Gradient Methods for Potential Games: Finite-time Global Convergence with Entropy Regularizationcited by 10
12 most cited of 34 All 34 (JSON)
- 2026Actor-Dual-Critic Dynamics for Zero-sum and Identical-Interest Stochastic Games31 Jan 2026
- 2025Aspiration-based Perturbed Learning Automata in Games with Noisy Utility Measurements. Part A: Stochastic Stability in Non-zero-Sum Games31 Oct 2025
- 2025Local Reinforcement Learning with Action-Conditioned Root Mean Squared Q-Functions8 Oct 2025
- 2025Grouped Satisficing Paths in Pure Strategy Games: a Topological Perspective27 Sep 2025
- 2025Finite-Time Global Optimality Convergence in Deep Neural Actor-Critic Methods for Decentralized Multi-Agent Reinforcement Learning24 May 2025
- 2025Policy Optimization and Multi-agent Reinforcement Learning for Mean-variance Team Stochastic Games28 Mar 2025
- 2025Q-MARL: A quantum-inspired algorithm using neural message passing for large-scale multi-agent reinforcement learning10 Mar 2025
- 2024The Bounds of Algorithmic Collusion; Q-learning, Gradient Learning, and the Folk Theorem19 Nov 2024
- 2024Convergence of Decentralized Actor-Critic Algorithm in General-sum Markov Games6 Sep 2024
- 2024Paths to Equilibrium in Games26 Mar 2024
- 2024Fully Decentralized Cooperative Multi-Agent Reinforcement Learning: A Survey10 Jan 2024
- 2023Q-Learning for Stochastic Control under General Information Structures and Non-Markovian Environments31 Oct 2023
12 newest of 34 All 34 (JSON)