Oracles & Followers: Stackelberg Equilibria in Deep Multi-Agent Reinforcement Learning
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Abstract (arXiv)
Stackelberg equilibria arise naturally in a range of popular learning problems, such as in security games or indirect mechanism design, and have received increasing attention in the reinforcement learning literature. We present a general framework for implementing Stackelberg equilibria search as a multi-agent RL problem, allowing a wide range of algorithmic design choices. We discuss how previous approaches can be seen as specific instantiations of this framework. As a key insight, we note that the design space allows for approaches not previously seen in the literature, for instance by leveraging multitask and meta-RL techniques for follower convergence. We propose one such approach using contextual policies, and evaluate it experimentally on both standard and novel benchmark domains, showing greatly improved sample efficiency compared to previous approaches. Finally, we explore the effect of adopting algorithm designs outside the borders of our framework.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 19 of its 45 references that are in the map. First posted on arXiv 19 Oct 2022.
Builds on
19 of 45 references.
References · 19
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- 2019Meta reinforcement learning as task inferencecited by 75
- 2022Model-Free Opponent Shapingcited by 43
- 2021Sample-Efficient Learning of Stackelberg Equilibria in General-Sum Gamescited by 40
- 2021Can Reinforcement Learning Find Stackelberg-Nash Equilibria in General-Sum Markov Games with Myopic Followers?cited by 24
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7 more
- 2021Adaptive Incentive Design with Multi-Agent Meta-Gradient Reinforcement Learningcited by 18
- 2021Coordinating Followers to Reach Better Equilibria: End-to-End Gradient Descent for Stackelberg Gamescited by 10
- 2022The Good Shepherd: An Oracle Agent for Mechanism Designcited by 10
- 2022Learning to Mitigate AI Collusion on Economic Platformscited by 9
- 2020Reinforcement Learning of Sequential Price Mechanismscited by 6
- 2013Finding Optimal Strategies in a Multi-Period Multi-Leader-Follower Stackelberg Game Using an Evolutionary Algorithmcited by 4
- 2021Solving Structured Hierarchical Games Using Differential Backward Inductioncited by 3
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Citing papers per year: 2023: 2; 2024: 8; 2025: 1; 2026: 1.
12 papers.
- 2024LLM Multi-Agent Systems: Challenges and Open Problemscited by 119
- 2023Online Learning in Stackelberg Games with an Omniscient Followercited by 15
- 2024Multi-Sender Persuasion: A Computational Perspectivecited by 9
- 2024Principal-Agent Reinforcement Learning: Orchestrating AI Agents with Contractscited by 8
- 2023Rethinking Adversarial Policies: A Generalized Attack Formulation and Provable Defense in RLcited by 7
- 2024Neural Operators Can Play Dynamic Stackelberg Gamescited by 5
- 2024CANDID DAC: Leveraging Coupled Action Dimensions with Importance Differences in DACcited by 4
- 2024Social Environment Designcited by 2
- 2026Efficient Morphology-Control Co-Design via Stackelberg Proximal Policy Optimizationcited by 2
- 2024ReLExS: Reinforcement Learning Explanations for Stackelberg No-Regret Learnerscited by 0
- 2024Large Legislative Models: Towards Efficient AI Policymaking in Economic Simulationscited by 0
- 2025Imitation Learning of Correlated Policies in Stackelberg Gamescited by 0
- 2026Efficient Morphology-Control Co-Design via Stackelberg Proximal Policy Optimization16 Mar 2026
- 2025Imitation Learning of Correlated Policies in Stackelberg Games11 Mar 2025
- 2024Neural Operators Can Play Dynamic Stackelberg Games14 Nov 2024
- 2024Large Legislative Models: Towards Efficient AI Policymaking in Economic Simulations10 Oct 2024
- 2024ReLExS: Reinforcement Learning Explanations for Stackelberg No-Regret Learners26 Aug 2024
- 2024Principal-Agent Reinforcement Learning: Orchestrating AI Agents with Contracts25 Jul 2024
- 2024CANDID DAC: Leveraging Coupled Action Dimensions with Importance Differences in DAC8 Jul 2024
- 2024Social Environment Design21 Feb 2024
- 2024Multi-Sender Persuasion: A Computational Perspective7 Feb 2024
- 2024LLM Multi-Agent Systems: Challenges and Open Problems5 Feb 2024
- 2023Rethinking Adversarial Policies: A Generalized Attack Formulation and Provable Defense in RL27 May 2023
- 2023Online Learning in Stackelberg Games with an Omniscient Follower27 Jan 2023