TiZero: Mastering Multi-Agent Football with Curriculum Learning and Self-Play
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Abstract (arXiv)
Multi-agent football poses an unsolved challenge in AI research. Existing work has focused on tackling simplified scenarios of the game, or else leveraging expert demonstrations. In this paper, we develop a multi-agent system to play the full 11 vs. 11 game mode, without demonstrations. This game mode contains aspects that present major challenges to modern reinforcement learning algorithms; multi-agent coordination, long-term planning, and non-transitivity. To address these challenges, we present TiZero; a self-evolving, multi-agent system that learns from scratch. TiZero introduces several innovations, including adaptive curriculum learning, a novel self-play strategy, and an objective that optimizes the policies of multiple agents jointly. Experimentally, it outperforms previous systems by a large margin on the Google Research Football environment, increasing win rates by over 30%. To demonstrate the generality of TiZero's innovations, they are assessed on several environments beyond football; Overcooked, Multi-agent Particle-Environment, Tic-Tac-Toe and Connect-Four.
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). Builds on 42 of its 78 references that are in the map. First posted on arXiv 15 Feb 2023.
Builds on
42 of 78 references.
References · 42
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2017Proximal Policy Optimization Algorithmscited by 14,441
- 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 1,916
- 2017Multi-Agent Actor-Critic for Mixed Cooperative-Competitive Environmentscited by 1,519
- 2019Dota 2 with Large Scale Deep Reinforcement Learningcited by 1,084
- 2013Exact solutions to the nonlinear dynamics of learning in deep linear neural networkscited by 748
- 2017Counterfactual Multi-Agent Policy Gradientscited by 733
- 2017Mastering Chess and Shogi by Self-Play with a General Reinforcement Learning Algorithmcited by 723
- 2018QMIX: Monotonic Value Function Factorisation for Deep Multi-Agent Reinforcement Learningcited by 697
- 2017Value-Decomposition Networks For Cooperative Multi-Agent Learningcited by 490
- 2019Leveraging Procedural Generation to Benchmark Reinforcement Learningcited by 478
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- 2017A Unified Game-Theoretic Approach to Multiagent Reinforcement Learningcited by 265
- 2019Google Research Football: A Novel Reinforcement Learning Environmentcited by 257
- 2020First return, then explorecited by 256
- 2013The Complexity of Decentralized Control of Markov Decision Processescited by 225
- 2016ViZDoom: A Doom-based AI Research Platform for Visual Reinforcement Learningcited by 178
- 2022Multi-Agent Reinforcement Learning is a Sequence Modeling Problemcited by 153
- 2020RODE: Learning Roles to Decompose Multi-Agent Taskscited by 125
- 2020Effective Diversity in Population Based Reinforcement Learningcited by 116
- 2019Open-ended Learning in Symmetric Zero-sum Gamescited by 96
- 2021Celebrating Diversity in Shared Multi-Agent Reinforcement Learningcited by 96
- 2021From Motor Control to Team Play in Simulated Humanoid Footballcited by 87
- 2020Towards Playing Full MOBA Games with Deep Reinforcement Learningcited by 78
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- 2021DouZero: Mastering DouDizhu with Self-Play Deep Reinforcement Learningcited by 65
- 2019Emergent Coordination Through Competitioncited by 57
- 2021Counter-Strike Deathmatch with Large-Scale Behavioural Cloningcited by 49
- 2021On Bonus-Based Exploration Methods in the Arcade Learning Environmentcited by 37
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- 2020Too many cooks: Bayesian inference for coordinating multi-agent collaborationcited by 29
- 2021TiKick: Towards Playing Multi-agent Football Full Games from Single-agent Demonstrationscited by 18
- 2022PerfectDou: Dominating DouDizhu with Perfect Information Distillationcited by 15
- 2021Unifying Behavioral and Response Diversity for Open-ended Learning in Zero-sum Gamescited by 14
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- 2021Learning Diverse Policies in MOBA Games via Macro-Goalscited by 7
- 2021rSoccer: A Framework for Studying Reinforcement Learning in Small and Very Small Size Robot Soccercited by 4
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- 2025ROTATE: Regret-driven Open-ended Training for Ad Hoc Teamwork29 May 2025
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- 2024Transformer Guided Coevolution: Improved Team Selection in Multiagent Adversarial Team Games17 Oct 2024
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12 newest of 17 All 17 (JSON)