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 n〉2 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.
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 n〉2 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.
基金
Supported by the National Natural Science Foundation of China(61373174)
