Variants of (s,t)-Wythoff’s game

• Published in: Discrete Applied Mathematics Vol. 227; pp. 1 - 12
• Main Authors: Li, Haiyan, Liu, Sanyang, Fraenkel, Aviezri S., Liu, Wen An
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 20.08.2017; Elsevier BV
• Subjects: [formula omitted]-position; [formula omitted]-Wythoff’s game; Applied mathematics; Combinatorics; Constrictions; Games; Normal play convention; Restriction; Restriction; Normal play convention; P-position; (s,t)-Wythoff’s game

In this paper, we study four games, they are all restrictions of (s,t)-Wythoff’s game which was introduced by A.S. Fraenkel. The first one is a modular type restriction of (s,t)-Wythoff’s game, where a player is restricted to remove a multiple of K tokens in each move (K is a fixed positive integer)...