Oracles & Followers: Stackelberg Equilibria in Deep Multi-Agent Reinforcement Learning
October 19, 2022 Β· Declared Dead Β· π International Conference on Machine Learning
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Authors
Matthias Gerstgrasser, David C. Parkes
arXiv ID
2210.11942
Category
cs.GT: Game Theory
Cross-listed
cs.AI,
cs.LG,
cs.MA
Citations
25
Venue
International Conference on Machine Learning
Last Checked
6 months ago
Abstract
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.
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