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arXiv · 2510.08232

Two Agents, One Prompt, and Your Weight

Elchanan Mossel·Amnon Schreiber
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Abstract

We investigate a quantitative variant of the classic Two Doors logic puzzle, in which the answer space is no longer binary, for example when the goal is to recover a numerical fact (such as one's true weight) rather than choose between two doors. The puzzle retains the original structure: one agent always tells the truth, the other always lies. Our central contribution is to identify a class of self-referential prompts that successfully extract the correct quantitative answer under minimal assumptions. We also explore how well does \texttt{ChatGPT} does in reasoning for this problem which is just a little bit out of distribution.

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BibTeXRIS

Elchanan Mossel, Amnon Schreiber. 2025-10-09. Two Agents, One Prompt, and Your Weight. https://arxiv.org/abs/2510.08232

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