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Main Authors: Cui, Langyuan, Ling, Chun Kai, Ng, Hwee Tou
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.01708
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author Cui, Langyuan
Ling, Chun Kai
Ng, Hwee Tou
author_facet Cui, Langyuan
Ling, Chun Kai
Ng, Hwee Tou
contents Large Language Models (LLMs) are increasingly deployed in real-world scenarios where they may lack sufficient information to complete a given task. In such settings, the ability to actively seek out missing information becomes a critical capability. Existing approaches to enhancing this ability often rely on simplifying assumptions that degrade \textit{worst-case} performance. This is an issue with serious implications in high-stakes applications. In this work, we use the game of Twenty Questions to evaluate the information-seeking ability of LLMs. We introduce and formalize its adversarial counterpart, the Strategic Language Search (SLS) problem along with its variants as a two-player zero-sum extensive form game. We propose Game of Thought (GoT), a framework that applies game-theoretic techniques to approximate a Nash equilibrium (NE) strategy for the restricted variant of the game. Empirical results demonstrate that our approach consistently improves worst-case performance compared to (1) direct prompting-based methods and (2) heuristic-guided search methods across all tested settings.
format Preprint
id arxiv_https___arxiv_org_abs_2602_01708
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Game of Thought: Robust Information Seeking with Large Language Models Using Game Theory
Cui, Langyuan
Ling, Chun Kai
Ng, Hwee Tou
Computation and Language
Artificial Intelligence
Computer Science and Game Theory
I.2.7; I.2.8
Large Language Models (LLMs) are increasingly deployed in real-world scenarios where they may lack sufficient information to complete a given task. In such settings, the ability to actively seek out missing information becomes a critical capability. Existing approaches to enhancing this ability often rely on simplifying assumptions that degrade \textit{worst-case} performance. This is an issue with serious implications in high-stakes applications. In this work, we use the game of Twenty Questions to evaluate the information-seeking ability of LLMs. We introduce and formalize its adversarial counterpart, the Strategic Language Search (SLS) problem along with its variants as a two-player zero-sum extensive form game. We propose Game of Thought (GoT), a framework that applies game-theoretic techniques to approximate a Nash equilibrium (NE) strategy for the restricted variant of the game. Empirical results demonstrate that our approach consistently improves worst-case performance compared to (1) direct prompting-based methods and (2) heuristic-guided search methods across all tested settings.
title Game of Thought: Robust Information Seeking with Large Language Models Using Game Theory
topic Computation and Language
Artificial Intelligence
Computer Science and Game Theory
I.2.7; I.2.8
url https://arxiv.org/abs/2602.01708