Title :
The (s, t)-Wythoff´s Game under Misère Play Convention
Author :
Liu, Wen An ; Wang, Yun ; Li, Nali
Author_Institution :
Coll. of Math. & Inf. Sci., Henan Normal Univ., Xinxiang, China
Abstract :
A.S. Fraenkel introduces a new (s, t)-Wythoff´s game which is the generalization of both a-Wythoff´s game and Wythoff´s game. Fraenkel determines all P-positions of (s, t)-Wythoff´s game under normal play convention. In this paper, the (s, t)-Wythoff´s game under the misere play convention is investigated. Both the set of all P-positions and optimal strategies are given. Our results also provide answers to a-Wythoff´s game and Wythoff´s game under the misere play convention.
Keywords :
game theory; P-positions; a-Wythoff´s game; misère play convention; normal play convention; optimal strategy; Educational institutions; Force; Games; Law; Mathematics; Presses; (s; P-position; Wythoff´s game; a-Wythoff´s game; misere play convention; 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.2012.98
