a-Wythoff＇s Game with n Players

摘要

Letting a = 1 in a-Wythoff 's game introduced by Fraenkel yields Wythoff's game which is a well-known 2-player impartial combinatorial game introduced by Wythoff in 1907.A method of solving n-player impartial games was presented by Krawec in 2012.In this paper,we employ Krawec's function to analyze n2∨ players a-Wythoff 's game and obtain game values for all a ≥1.The results obtained cover n-player Wythoff 's game,a special case 1-Wythoff 's game.