DocumentCode
3062741
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
fYear
2012
fDate
23-26 June 2012
Firstpage
409
Lastpage
413
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location
Harbin
Print_ISBN
978-1-4673-1365-0
Type
conf
DOI
10.1109/CSO.2012.97
Filename
6274756
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