Title :
Restrictions of a-Wythoff´s Game
Author :
Liu, Wen An ; Li, Haiyan ; Li, Bei
Author_Institution :
Coll. of Math. & Inf. Sci., Henan Normal Univ., Xinxiang, China
Abstract :
A.S. Fraenkel introduces a new a-Wythoff´s game which is the generalization of Wythoff´s game. Fraenkel determines all P-positions of a-Wythoff´s game under normal play convention. In this paper, we introduce two new restricted versions of a-Wythoff´s game, Odd-Even Wythoff´s Game and Odd-Even a-Wythoff´s Game. Both new games are investigated. All its P-positions under normal play convention are given, and the corresponding wining strategies are also presented.
Keywords :
game theory; normal play convention; odd-even Wythoff´s game; odd-even a-Wythoff´s game; wining strategies; Educational institutions; Force; Games; Law; Mathematics; Presses; (s; Normal play convention; P-position; Wythoff´s game; a-Wythoff´s game; t)-Wythoff´s game;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4673-1365-0
DOI :
10.1109/CSO.2012.97
