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Mathematicians Outline Optimal Guess Who? Strategy That Halves the Field

A new arXiv preprint from a University of Manchester team translates the game into simple counting rules players can apply at the table.

Overview

  • Researchers advise asking questions that split the remaining suspects as close to 50/50 as possible, such as 8–8 from 16 or 7–8 from 15.
  • For certain totals the ideal split shifts, with examples including an 8–10 split from 18 and a recommended 1–3 question when four suspects remain in some situations.
  • The team warns against early questions about rare features like glasses because they remove too small a subset to be efficient.
  • They say three-part “tripartite” questions can improve outcomes, though the constructions are cognitively awkward and risk confusing players.
  • The analysis is presented in a brief arXiv preprint titled “Optimal play in Guess Who,” and the authors have released a legally distinct online game to practice the strategy.