Equilibrium Finding in Normal-Form Games via Greedy Regret Minimization
Hugh Zhang, Adam Lerer, Noam Brown
2022Year
15Citations
5Top-tier citations
Abstract
We extend the classic regret minimization framework for approximating equilibria in normal-form games by greedily weighing iterates based on regrets observed at runtime. Theoretically, our method retains all previous convergence rate guarantees. Empirically, experiments on large randomly generated games and normal-form subgames of the AI benchmark Diplomacy show that greedy weights outperforms previous methods whenever sampling is used, sometimes by several orders of magnitude.
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Your agent calls
Luneget_paper_fulltext
Free to start. No credit card required.
Terminal
Install the CLIlune papers fulltext 2f4d8bc2-8cd7-4549-85e0-86faaa97c218Cited by top-tier papers5
- Meta-Learning in GamesKeegan Harris, Ioannis Anagnostides, Gabriele Farina, Mikhail Khodak et al.ICLR 2023 · 196 citations
- Dynamic Discounted Counterfactual Regret MinimizationHang Xu, Kai Li, Haobo Fu, Qiang Fu et al.ICLR 2024 · 7 citations
- A Unified Approach to Reinforcement Learning, Quantal Response Equilibria, and Two-Player Zero-Sum GamesSamuel Sokota, Ryan D'Orazio, J. Zico Kolter, Nicolas Loizou et al.ICLR 2023 · 6 citations
- Faster Game Solving via Hyperparameter SchedulesNaifeng Zhang, Stephen Marcus McAleer, Tuomas SandholmAAAI 2026 · 6 citations
- A Faster Parameter-Free Regret Matching AlgorithmLinjian Meng, Youzhi Zhang, Shangdong Yang, Wenbin Li et al.ICLR 2026
Builds on3
- Faster Game Solving via Predictive Blackwell Approachability: Connecting Regret Matching and Mirror DescentGabriele Farina, Christian Kroer, Tuomas SandholmAAAI 2021 · 91 citations
- Human-Level Performance in No-Press Diplomacy via Equilibrium SearchJonathan Gray, Adam Lerer, Anton Bakhtin, Noam BrownICLR 2021 · 61 citations
- Learning to Play No-Press Diplomacy with Best Response Policy IterationThomas W. Anthony, Tom Eccles, Andrea Tacchetti, János Kramár et al.NeurIPS 2020 · 50 citations
Related papers
- Last-iterate Convergence in Extensive-Form GamesChung-Wei Lee, Christian Kroer, Haipeng LuoNeurIPS 2021 · 57 citations
- The Power of Regularization in Solving Extensive-Form GamesMingyang Liu, Asuman E. Ozdaglar, Tiancheng Yu, Kaiqing ZhangICLR 2023 · 2 citations
- Learning from Delayed Feedback in Games via Extra PredictionYuma Fujimoto, Kenshi Abe, Kaito AriuNeurIPS 2025 · 1 citation
- Near-Optimal No-Regret Learning in General GamesConstantinos Daskalakis, Maxwell Fishelson, Noah GolowichNeurIPS 2021 · 141 citations
- O(T-1 Convergence of Optimistic-Follow-the-Regularized-Leader in Two-Player Zero-Sum Markov GamesYuepeng Yang, Cong MaICLR 2023 · 1 citation
