Discovering Diverse Multi-Agent Strategic Behavior via Reward Randomization
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Abstract (arXiv)
We propose a simple, general and effective technique, Reward Randomization for discovering diverse strategic policies in complex multi-agent games. Combining reward randomization and policy gradient, we derive a new algorithm, Reward-Randomized Policy Gradient (RPG). RPG is able to discover multiple distinctive human-interpretable strategies in challenging temporal trust dilemmas, including grid-world games and a real-world game Agar.io, where multiple equilibria exist but standard multi-agent policy gradient algorithms always converge to a fixed one with a sub-optimal payoff for every player even using state-of-the-art exploration techniques. Furthermore, with the set of diverse strategies from RPG, we can (1) achieve higher payoffs by fine-tuning the best policy from the set; and (2) obtain an adaptive agent by using this set of strategies as its training opponents. The source code and example videos can be found in our website: https://sites.google.com/view/staghuntrpg.
Key facts. Cited by 35 papers in the map (data through 7 Oct 2026). Builds on 41 of its 82 references that are in the map. First posted on arXiv 8 Mar 2021.
Builds on
41 of 82 references.
References · 41
- 2017Proximal Policy Optimization Algorithmscited by 14,441
- 2017Multi-Agent Actor-Critic for Mixed Cooperative-Competitive Environmentscited by 1,519
- 2017Domain Randomization for Transferring Deep Neural Networks from Simulation to the Real Worldcited by 1,401
- 2017Curiosity-driven Exploration by Self-supervised Predictioncited by 1,173
- 2019Meta-World: A Benchmark and Evaluation for Multi-Task and Meta Reinforcement Learningcited by 1,168
- 2019Dota 2 with Large Scale Deep Reinforcement Learningcited by 1,084
- 2018Exploration by Random Network Distillationcited by 966
- 2015End-to-End Training of Deep Visuomotor Policiescited by 847
- 2018Diversity is All You Need: Learning Skills without a Reward Functioncited by 734
- 2017Population Based Training of Neural Networkscited by 351
- 2019Dynamics-Aware Unsupervised Discovery of Skillscited by 308
- 2019Emergent Tool Use From Multi-Agent Autocurriculacited by 308
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- 2017StarCraft II: A New Challenge for Reinforcement Learningcited by 268
- 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
- 2017Inverse Reward Designcited by 246
- 2015Escaping From Saddle Points --- Online Stochastic Gradient for Tensor Decompositioncited by 241
- 2017Learning with Opponent-Learning Awarenesscited by 218
- 2017Multi-agent Reinforcement Learning in Sequential Social Dilemmascited by 206
- 2014Robots that can adapt like animalscited by 203
- 2020"Other-Play" for Zero-Shot Coordinationcited by 194
- 2016Learning to Navigate in Complex Environmentscited by 192
- 2019MAVEN: Multi-Agent Variational Explorationcited by 181
- 2016Deep Reinforcement Learning from Self-Play in Imperfect-Information Gamescited by 153
- 2018An Alternative View: When Does SGD Escape Local Minima?cited by 115
- 2020Provable Self-Play Algorithms for Competitive Reinforcement Learningcited by 112
- 2018Building Generalizable Agents with a Realistic and Rich 3D Environmentcited by 109
- 2019Open-ended Learning in Symmetric Zero-sum Gamescited by 96
- 2017Intrinsically Motivated Goal Exploration Processes with Automatic Curriculum Learningcited by 79
- 2020From Poincar'e Recurrence to Convergence in Imperfect Information Games: Finding Equilibrium via Regularizationcited by 59
- 2019Towards Practical Multi-Object Manipulation using Relational Reinforcement Learningcited by 54
- 2020Social diversity and social preferences in mixed-motive reinforcement learningcited by 49
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- 2020Evolutionary Population Curriculum for Scaling Multi-Agent Reinforcement Learningcited by 47
- 2017Consequentialist conditional cooperation in social dilemmas with imperfect informationcited by 23
- 2019Learning to Interactively Learn and Assistcited by 20
- 2018Deep Reinforcement Learning for Green Security Games with Real-Time Informationcited by 19
- 2013Nash Convergence of Gradient Dynamics in Iterated General-Sum Gamescited by 18
- 2019Deep Fictitious Play for Finding Markovian Nash Equilibrium in Multi-Agent Gamescited by 16
- 2019Robust Opponent Modeling via Adversarial Ensemble Reinforcement Learning in Asymmetric Imperfect-Information Gamescited by 11
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Citing papers per year: 2021: 4; 2022: 6; 2023: 12; 2024: 6; 2025: 5; 2026: 2.
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- 2026Vector Policy Optimization: Training for Diversity Improves Test-Time Search21 May 2026
- 2025Adaptively Coordinating with Novel Partners via Learned Latent Strategies16 Nov 2025
- 2025LLMs as Policy-Agnostic Teammates: A Case Study in Human Proxy Design for Heterogeneous Agent Teams7 Oct 2025
- 2025VS-Bench: Evaluating VLMs for Strategic Abilities in Multi-Agent Environments3 Jun 2025
- 2025Diversity-Aware Policy Optimization for Large Language Model Reasoning29 May 2025
- 2025Improving Human-AI Coordination through Online Adversarial Training and Generative Models21 Apr 2025
- 2024Preference-based opponent shaping in differentiable games4 Dec 2024
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- 2023Policy Space Diversity for Non-Transitive Games29 Jun 2023
- 2023Context-Aware Bayesian Network Actor-Critic Methods for Cooperative Multi-Agent Reinforcement Learning2 Jun 2023
- 2023Learning Diverse Risk Preferences in Population-based Self-play19 May 2023
- 2023Heterogeneous Social Value Orientation Leads to Meaningful Diversity in Sequential Social Dilemmas1 May 2023
- 2023Diverse Policy Optimization for Structured Action Space23 Feb 2023
- 2023Differentiable Arbitrating in Zero-sum Markov Games20 Feb 2023
- 2023Learning Zero-Shot Cooperation with Humans, Assuming Humans Are Biased3 Feb 2023
- 2022Human-AI Coordination via Human-Regularized Search and Learning11 Oct 2022
- 2022Generating Teammates for Training Robust Ad Hoc Teamwork Agents via Best-Response Diversity28 Jul 2022
- 2022DGPO: Discovering Multiple Strategies with Diversity-Guided Policy Optimization12 Jul 2022
- 2022Beyond Rewards: a Hierarchical Perspective on Offline Multiagent Behavioral Analysis17 Jun 2022
- 2022Revisiting Some Common Practices in Cooperative Multi-Agent Reinforcement Learning15 Jun 2022
- 2022Continuously Discovering Novel Strategies via Reward-Switching Policy Optimization4 Apr 2022
- 2021Maximum Entropy Population-Based Training for Zero-Shot Human-AI Coordination22 Dec 2021
- 2021Learning Meta Representations for Agents in Multi-Agent Reinforcement Learning30 Aug 2021
- 2021Model-Based Opponent Modeling4 Aug 2021
- 2021Robust Reinforcement Learning Under Minimax Regret for Green Security15 Jun 2021
- 2021Maximum Entropy Population-Based Training for Zero-Shot Human-AI Coordinationcited by 69
- 2023Learning Zero-Shot Cooperation with Humans, Assuming Humans Are Biasedcited by 37
- 2022Revisiting Some Common Practices in Cooperative Multi-Agent Reinforcement Learningcited by 32
- 2022Continuously Discovering Novel Strategies via Reward-Switching Policy Optimizationcited by 23
- 2021Model-Based Opponent Modelingcited by 21
- 2022Generating Teammates for Training Robust Ad Hoc Teamwork Agents via Best-Response Diversitycited by 17
- 2023Policy Space Diversity for Non-Transitive Gamescited by 15
- 2023Diverse Conventions for Human-AI Collaborationcited by 14
- 2021Robust Reinforcement Learning Under Minimax Regret for Green Securitycited by 12
- 2022DGPO: Discovering Multiple Strategies with Diversity-Guided Policy Optimizationcited by 10
- 2024Rethinking Robustness Assessment: Adversarial Attacks on Learning-based Quadrupedal Locomotion Controllerscited by 9
- 2026Vector Policy Optimization: Training for Diversity Improves Test-Time Searchcited by 8
12 most cited of 27 All 27 (JSON)
- 2026Benchmarking the Limits of In-Context Reinforcement Learning for Ad-Hoc Teamwork23 May 2026
- 2026Vector Policy Optimization: Training for Diversity Improves Test-Time Search21 May 2026
- 2025Adaptively Coordinating with Novel Partners via Learned Latent Strategies16 Nov 2025
- 2025Improving Human-AI Coordination through Online Adversarial Training and Generative Models21 Apr 2025
- 2024Preference-based opponent shaping in differentiable games4 Dec 2024
- 2024Importance Sampling-Guided Meta-Training for Intelligent Agents in Highly Interactive Environments22 Jul 2024
- 2024Rethinking Robustness Assessment: Adversarial Attacks on Learning-based Quadrupedal Locomotion Controllers21 May 2024
- 2024Phasic Diversity Optimization for Population-Based Reinforcement Learning17 Mar 2024
- 2023Diverse Conventions for Human-AI Collaboration24 Oct 2023
- 2023Iteratively Learn Diverse Strategies with State Distance Information23 Oct 2023
- 2023Accelerate Multi-Agent Reinforcement Learning in Zero-Sum Games with Subgame Curriculum Learning7 Oct 2023
- 2023Benchmarking Robustness and Generalization in Multi-Agent Systems: A Case Study on Neural MMO30 Aug 2023
12 newest of 27 All 27 (JSON)