A Generalization of Wythoff's Game

Abstract

Wythoff s game is a variation of Nim, a two-pile game in which each player removes counters in turn until the winner takes the last counter. The safe-pairs generated in the solution of Wythoff's game have many properties interesting in themselves, and are related to the canonical Zeckendorf representation of an integer using Fibonacci numbers. In Nim, the… (More)
DOI: 10.1016/S0097-3165(73)80005-6

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