The Hidden Game Problem

Fuente: arXiv
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Hauptverfasser: Buzaglo, Gon, Golowich, Noah, Hazan, Elad
Format: Preprint
Veröffentlicht: 2025
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author Buzaglo, Gon
Golowich, Noah
Hazan, Elad
author_facet Buzaglo, Gon
Golowich, Noah
Hazan, Elad
contents This paper investigates a class of games with large strategy spaces, motivated by challenges in AI alignment and language games. We introduce the hidden game problem, where for each player, an unknown subset of strategies consistently yields higher rewards compared to the rest. The central question is whether efficient regret minimization algorithms can be designed to discover and exploit such hidden structures, leading to equilibrium in these subgames while maintaining rationality in general. We answer this question affirmatively by developing a composition of regret minimization techniques that achieve optimal external and swap regret bounds. Our approach ensures rapid convergence to correlated equilibria in hidden subgames, leveraging the hidden game structure for improved computational efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2510_03845
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Hidden Game Problem
Buzaglo, Gon
Golowich, Noah
Hazan, Elad
Artificial Intelligence
Computer Science and Game Theory
Machine Learning
This paper investigates a class of games with large strategy spaces, motivated by challenges in AI alignment and language games. We introduce the hidden game problem, where for each player, an unknown subset of strategies consistently yields higher rewards compared to the rest. The central question is whether efficient regret minimization algorithms can be designed to discover and exploit such hidden structures, leading to equilibrium in these subgames while maintaining rationality in general. We answer this question affirmatively by developing a composition of regret minimization techniques that achieve optimal external and swap regret bounds. Our approach ensures rapid convergence to correlated equilibria in hidden subgames, leveraging the hidden game structure for improved computational efficiency.
title The Hidden Game Problem
topic Artificial Intelligence
Computer Science and Game Theory
Machine Learning
url https://arxiv.org/abs/2510.03845