Optimal play in 'Guess Who?'

Fuente: arXiv
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Autores principales: Cushing, David, Gipp, Stuart, Levick, Ezra, Rickinson, Em, Stewart, David I.
Formato: Preprint
Publicado: 2025
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author Cushing, David
Gipp, Stuart
Levick, Ezra
Rickinson, Em
Stewart, David I.
author_facet Cushing, David
Gipp, Stuart
Levick, Ezra
Rickinson, Em
Stewart, David I.
contents We prove an optimal strategy for the children's game Guess Who? assuming the official rules are in use and that both players ask `classical' questions with a bipartite response. Applying a technique described in [Rabern, B \& Rabern, L 2008, 'A simple solution to the hardest logic puzzle ever', \textit{Analysis}, vol. 68, no. 2, pp.~105-112.] allows for questions with tripartite responses; we explain this innovation and give an optimal strategy for two players applying it.
format Preprint
id arxiv_https___arxiv_org_abs_2508_00799
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal play in 'Guess Who?'
Cushing, David
Gipp, Stuart
Levick, Ezra
Rickinson, Em
Stewart, David I.
Combinatorics
91A05
We prove an optimal strategy for the children's game Guess Who? assuming the official rules are in use and that both players ask `classical' questions with a bipartite response. Applying a technique described in [Rabern, B \& Rabern, L 2008, 'A simple solution to the hardest logic puzzle ever', \textit{Analysis}, vol. 68, no. 2, pp.~105-112.] allows for questions with tripartite responses; we explain this innovation and give an optimal strategy for two players applying it.
title Optimal play in 'Guess Who?'
topic Combinatorics
91A05
url https://arxiv.org/abs/2508.00799