Meta-Learning in Self-Play Regret Minimization

Fuente: arXiv
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Hauptverfasser: Sychrovský, David, Schmid, Martin, Šustr, Michal, Bowling, Michael
Format: Preprint
Veröffentlicht: 2025
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author Sychrovský, David
Schmid, Martin
Šustr, Michal
Bowling, Michael
author_facet Sychrovský, David
Schmid, Martin
Šustr, Michal
Bowling, Michael
contents Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in isolation. However, in practice, players often encounter a distribution of similar but distinct games. For example, when trading correlated assets on the stock market, or when refining the strategy in subgames of a much larger game. Recently, offline meta-learning was used to accelerate one-sided equilibrium finding on such distributions. We build upon this, extending the framework to the more challenging self-play setting, which is the basis for most state-of-the-art equilibrium approximation algorithms for domains at scale. When selecting the strategy, our method uniquely integrates information across all decision states, promoting global communication as opposed to the traditional local regret decomposition. Empirical evaluation on normal-form games and river poker subgames shows our meta-learned algorithms considerably outperform other state-of-the-art regret minimization algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2504_18917
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Meta-Learning in Self-Play Regret Minimization
Sychrovský, David
Schmid, Martin
Šustr, Michal
Bowling, Michael
Computer Science and Game Theory
Machine Learning
Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in isolation. However, in practice, players often encounter a distribution of similar but distinct games. For example, when trading correlated assets on the stock market, or when refining the strategy in subgames of a much larger game. Recently, offline meta-learning was used to accelerate one-sided equilibrium finding on such distributions. We build upon this, extending the framework to the more challenging self-play setting, which is the basis for most state-of-the-art equilibrium approximation algorithms for domains at scale. When selecting the strategy, our method uniquely integrates information across all decision states, promoting global communication as opposed to the traditional local regret decomposition. Empirical evaluation on normal-form games and river poker subgames shows our meta-learned algorithms considerably outperform other state-of-the-art regret minimization algorithms.
title Meta-Learning in Self-Play Regret Minimization
topic Computer Science and Game Theory
Machine Learning
url https://arxiv.org/abs/2504.18917