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Zermelo's theorem

Zermelo's theorem proper noun: a theorem about finite two-person games of perfect information in which the players move alternately and chance does not affect the decision-making process. It states that if the game cannot end in a draw, then one of the two players must have a winning strategy, i.e. force a win.

Proper noun

Zermelo's theorem

  1. A theorem about finite two-person games of perfect information in which the players move alternately and chance does not affect the decision-making process. It states that if the game cannot end in a draw, then one of the two players must have a winning strategy, i.e. force a win.
  2. The well-ordering theorem.

Origin of Zermelo's theorem

Named after Ernst Zermelo.

Questions about Zermelo's theorem

What does Zermelo's theorem mean?
Zermelo's theorem means a theorem about finite two-person games of perfect information in which the players move alternately and chance does not affect the decision-making process. It states that if the game cannot end in a draw, then one of the two players must have a winning strategy, i.e. force a win.
What part of speech is Zermelo's theorem?
Zermelo's theorem is a proper noun.

Words near Zermelo's theorem in the dictionary

  1. Zermas
  2. Zermatism
  3. Zermatt
  4. Zermelian
  5. Zermelo set theory
  6. Zermelo's theorem
  7. Zermelo-Fraenkel set theory
  8. Zermelo-Fraenkelian
  9. Zermeno
  10. Zermenos
  11. Zern

Source and license

Adapted from Wiktionary: Zermelo's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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