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Optimal guessing in 'Guess Who'.

Ben O'Neill1

  • 1College of Science and Medicine, Australian National University, Canberra ACT, Australia.

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|March 10, 2021
PubMed
Summary
This summary is machine-generated.

This study analyzes the children's game Guess Who, applying game theory to find an optimal strategy. The research reveals a first-mover advantage and provides mathematical insights for winning the game.

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Area of Science:

  • Game Theory
  • Mathematical Strategy

Background:

  • The popular children's game Guess Who involves deductive reasoning.
  • Understanding optimal strategies can enhance gameplay.
  • Previous analyses have not fully explored the game's mathematical underpinnings.

Purpose of the Study:

  • To formally derive an optimal strategy for the game Guess Who.
  • To determine win-probabilities and analyze the first-mover advantage.
  • To generalize the game's analysis beyond its standard rules.

Main Methods:

  • The study treats Guess Who as a zero-sum symmetric game with perfect information.
  • Mathematical modeling and formal derivation of optimal strategies were employed.
  • Analysis was extended to generalized game states with numerous characters.

Main Results:

  • An optimal strategy for Guess Who was formally derived.
  • Win-probabilities were calculated, indicating a first-mover advantage.
  • The mathematical framework allows for analysis of larger, generalized game states.

Conclusions:

  • The optimal strategy provides a clear path to winning Guess Who.
  • Mathematical insights confirm the strategic importance of going first.
  • The generalized model offers a robust framework for analyzing similar perfect information games.