📜 Theorem, law or theory

Zermelo's theorem

Teorema de Zermelo

Date
1913 · confidence high
Place
Zurich, Switzerland
Credited to
Ernst Zermelo
Field
Knowledge & symbols

What was discovered

A game-theory theorem proving that, in any finite two-player game with perfect information and no possible draws, one of the two players must have a winning strategy; formulated by Ernst Zermelo with respect to chess.

What it led to

  • Foundational result in combinatorial game theory
  • Basis for later results on solved games
  • Influenced game-tree search algorithms (minimax)

Links

Sources✓ verified 2026-09-28