Restricted (s, t)-Wythoff’s game, introduced by Liu et al. in 2014, is an impartial combinatorial game. We define and solve a class of games obtained from Restricted (s, t)-Wythoff’s game by adjoining to it some subsets of its P-positions as additional moves. The results show that under certain conditions they are equivalent to one case in which only one P-position is adjoined as an additional move. Furthermore, two winning strategies of exponential and polynomial are provided for the games.
@article{bwmeta1.element.doi-10_1515_math-2017-0022,
author = {Sanyang Liu and Haiyan Li},
title = {A class of extensions of Restricted (s,t)-Wythoff's game},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {281-295},
zbl = {06704084},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0022}
}
Sanyang Liu; Haiyan Li. A class of extensions of Restricted (s,t)-Wythoff’s game. Open Mathematics, Tome 15 (2017) pp. 281-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0022/