Restrictions of a-Wythoff's Game

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'...

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Bibliographic Details
Published in2012 Fifth International Joint Conference on Computational Sciences and Optimization pp. 409 - 413
Main Authors Wen An Liu, Haiyan Li, Bei Li
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2012
Subjects
a-Wythoff's game
Educational institutions
Force
Games
Law
Mathematics
Normal play convention
P-position
Presses
t)-Wythoff's game
Wythoff's game
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ISBN9781467313650
1467313653
DOI10.1109/CSO.2012.97

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Summary: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.
ISBN:9781467313650
1467313653
DOI:10.1109/CSO.2012.97