Multi-Agent Training beyond Zero-Sum with Correlated Equilibrium Meta-Solvers
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Abstract (arXiv)
Two-player, constant-sum games are well studied in the literature, but there has been limited progress outside of this setting. We propose Joint Policy-Space Response Oracles (JPSRO), an algorithm for training agents in n-player, general-sum extensive form games, which provably converges to an equilibrium. We further suggest correlated equilibria (CE) as promising meta-solvers, and propose a novel solution concept Maximum Gini Correlated Equilibrium (MGCE), a principled and computationally efficient family of solutions for solving the correlated equilibrium selection problem. We conduct several experiments using CE meta-solvers for JPSRO and demonstrate convergence on n-player, general-sum games.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). Builds on 22 of its 84 references that are in the map. First posted on arXiv 17 Jun 2021.
Builds on
22 of 84 references.
References · 22
- 2019Dota 2 with Large Scale Deep Reinforcement Learningcited by 1,084
- 2016CVXPY: A Python-Embedded Modeling Language for Convex Optimizationcited by 633
- 2017A Unified Game-Theoretic Approach to Multiagent Reinforcement Learningcited by 265
- 2018Human-level performance in first-person multiplayer games with population-based deep reinforcement learningcited by 260
- 2019OpenSpiel: A Framework for Reinforcement Learning in Gamescited by 180
- 2017A Rewriting System for Convex Optimization Problemscited by 178
- 2017OSQP: An Operator Splitting Solver for Quadratic Programscited by 156
- 2019Open-ended Learning in Symmetric Zero-sum Gamescited by 96
- 2019A Generalized Training Approach for Multiagent Learningcited by 53
- 2019α-Rank: Multi-Agent Evaluation by Evolutioncited by 50
- 2018Re-evaluating Evaluationcited by 47
- 2020Pipeline PSRO: A Scalable Approach for Finding Approximate Nash Equilibria in Large Gamescited by 47
10 more
- 2020Human-Level Performance in No-Press Diplomacy via Equilibrium Searchcited by 41
- 2021XDO: A Double Oracle Algorithm for Extensive-Form Gamescited by 34
- 2020Learning to Play No-Press Diplomacy with Best Response Policy Iterationcited by 25
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Citing papers per year: 2021: 2; 2022: 8; 2023: 4; 2024: 5; 2025: 0; 2026: 2.
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- 2024A Survey on Self-play Methods in Reinforcement Learningcited by 26
- 2022NeuPL: Neural Population Learningcited by 14
- 2022Efficient Model-based Multi-agent Reinforcement Learning via Optimistic Equilibrium Computationcited by 14
- 2022Self-Play PSRO: Toward Optimal Populations in Two-Player Zero-Sum Gamescited by 11
- 2022Turbocharging Solution Concepts: Solving NEs, CEs and CCEs with Neural Equilibrium Solverscited by 10
- 2024Policy Space Response Oracles: A Surveycited by 10
- 2021SoK: Machine Learning Governancecited by 9
- 2023Combining Tree-Search, Generative Models, and Nash Bargaining Concepts in Game-Theoretic Reinforcement Learningcited by 6
- 2022Learning Correlated Equilibria in Mean-Field Gamescited by 4
- 2024Neural Population Learning beyond Symmetric Zero-sum Gamescited by 4
- 2022Game Theoretic Rating in N-player general-sum games with Equilibriacited by 3
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- 2022Developing, Evaluating and Scaling Learning Agents in Multi-Agent Environmentscited by 2
- 2023Are Equivariant Equilibrium Approximators Beneficial?cited by 2
- 2023Composing Efficient, Robust Tests for Policy Selectioncited by 1
- 2024Self-adaptive PSRO: Towards an Automatic Population-based Game Solvercited by 1
- 2024Configurable Mirror Descent: Towards a Unification of Decision Makingcited by 1
- 2026Conservative Equilibrium Discovery in Offline Game-Theoretic Multiagent Reinforcement Learningcited by 1
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- 2026NePPO: Near-Potential Policy Optimization for General-Sum Multi-Agent Reinforcement Learning7 Mar 2026
- 2026Conservative Equilibrium Discovery in Offline Game-Theoretic Multiagent Reinforcement Learning27 Feb 2026
- 2024A Survey on Self-play Methods in Reinforcement Learning2 Aug 2024
- 2024Configurable Mirror Descent: Towards a Unification of Decision Making20 May 2024
- 2024Self-adaptive PSRO: Towards an Automatic Population-based Game Solver17 Apr 2024
- 2024Policy Space Response Oracles: A Survey4 Mar 2024
- 2024Neural Population Learning beyond Symmetric Zero-sum Games10 Jan 2024
- 2023Guarantees for Self-Play in Multiplayer Games via Polymatrix Decomposability17 Oct 2023
- 2023Composing Efficient, Robust Tests for Policy Selection12 Jun 2023
- 2023Combining Tree-Search, Generative Models, and Nash Bargaining Concepts in Game-Theoretic Reinforcement Learning1 Feb 2023
- 2023Are Equivariant Equilibrium Approximators Beneficial?27 Jan 2023
- 2022Turbocharging Solution Concepts: Solving NEs, CEs and CCEs with Neural Equilibrium Solvers17 Oct 2022
9 more
- 2022Game Theoretic Rating in N-player general-sum games with Equilibria5 Oct 2022
- 2022Developing, Evaluating and Scaling Learning Agents in Multi-Agent Environments22 Sep 2022
- 2022Learning Correlated Equilibria in Mean-Field Games22 Aug 2022
- 2022Self-Play PSRO: Toward Optimal Populations in Two-Player Zero-Sum Games13 Jul 2022
- 2022Offline Equilibrium Finding12 Jul 2022
- 2022Efficient Model-based Multi-agent Reinforcement Learning via Optimistic Equilibrium Computation14 Mar 2022
- 2022NeuPL: Neural Population Learning15 Feb 2022
- 2021SoK: Machine Learning Governance20 Sep 2021
- 2021Open-Ended Learning Leads to Generally Capable Agents27 Jul 2021
- 2022Offline Equilibrium Findingcited by 2
- 2022Offline Equilibrium Finding12 Jul 2022
- 2021Open-Ended Learning Leads to Generally Capable Agentscited by 177
- 2024A Survey on Self-play Methods in Reinforcement Learningcited by 26
- 2022NeuPL: Neural Population Learningcited by 14
- 2022Efficient Model-based Multi-agent Reinforcement Learning via Optimistic Equilibrium Computationcited by 14
- 2022Self-Play PSRO: Toward Optimal Populations in Two-Player Zero-Sum Gamescited by 11
- 2022Turbocharging Solution Concepts: Solving NEs, CEs and CCEs with Neural Equilibrium Solverscited by 10
- 2024Policy Space Response Oracles: A Surveycited by 10
- 2021SoK: Machine Learning Governancecited by 9
- 2023Combining Tree-Search, Generative Models, and Nash Bargaining Concepts in Game-Theoretic Reinforcement Learningcited by 6
- 2022Learning Correlated Equilibria in Mean-Field Gamescited by 4
- 2024Neural Population Learning beyond Symmetric Zero-sum Gamescited by 4
- 2022Game Theoretic Rating in N-player general-sum games with Equilibriacited by 3
12 most cited of 20 All 20 (JSON)
- 2026NePPO: Near-Potential Policy Optimization for General-Sum Multi-Agent Reinforcement Learning7 Mar 2026
- 2026Conservative Equilibrium Discovery in Offline Game-Theoretic Multiagent Reinforcement Learning27 Feb 2026
- 2024A Survey on Self-play Methods in Reinforcement Learning2 Aug 2024
- 2024Configurable Mirror Descent: Towards a Unification of Decision Making20 May 2024
- 2024Self-adaptive PSRO: Towards an Automatic Population-based Game Solver17 Apr 2024
- 2024Policy Space Response Oracles: A Survey4 Mar 2024
- 2024Neural Population Learning beyond Symmetric Zero-sum Games10 Jan 2024
- 2023Guarantees for Self-Play in Multiplayer Games via Polymatrix Decomposability17 Oct 2023
- 2023Composing Efficient, Robust Tests for Policy Selection12 Jun 2023
- 2023Combining Tree-Search, Generative Models, and Nash Bargaining Concepts in Game-Theoretic Reinforcement Learning1 Feb 2023
- 2023Are Equivariant Equilibrium Approximators Beneficial?27 Jan 2023
- 2022Turbocharging Solution Concepts: Solving NEs, CEs and CCEs with Neural Equilibrium Solvers17 Oct 2022
12 newest of 20 All 20 (JSON)