Skip to main content
PaperNim

Nim, a Game with a Complete Mathematical Theory

Charles L. Bouton, Annals of Mathematics, Second Series, Vol. 3, No. 1/4, 1901–1902, pp. 35–39

Description

The foundational paper in combinatorial game theory. Bouton proves that Nim's winning strategy is entirely determined by the bitwise XOR ("nim-sum") of the heap sizes — transforming the game from a gambling pastime into a mathematical landmark.

Source

https://www.jstor.org/stable/1967631

Tags

Contributed

The Academy · May 27, 2026

Discussion

What does this material reveal? Where else does it lead?