Geodesic
A Generalization of Wythoff's Game*
Canadian mathematical bulletin, Tome 2 (1959) no. 3, pp. 181-190

Voir la notice de l'article provenant de la source Cambridge

DOI

W.A. Wythoff [1] in 1907 defined a modification of the game of Nim by the following rules: (i) there are two players who play alternately; (ii) initially there are two piles of matches, an arbitrary number in each pile; (iii) a player may take an arbitrary number of matches from one pile or an equal number from both piles but he must take at least one match; (iv) the player who takes the last match wins the game. If, after his move, a player leaves one match in one pile and two in the other he can force a win; for if his opponent takes one match from the pile containing two he can take both remaining matches; and similarly for the other possibilities. 
A Generalization of Wythoff's Game*. Canadian mathematical bulletin, Tome 2 (1959) no. 3, pp. 181-190. doi: 10.4153/CMB-1959-024-3
@misc{10_4153_CMB_1959_024_3,
     title = {A {Generalization} of {Wythoff's} {Game*}},
     journal = {Canadian mathematical bulletin},
     pages = {181--190},
     year = {1959},
     volume = {2},
     number = {3},
     doi = {10.4153/CMB-1959-024-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1959-024-3/}
}
TY  - JOUR
TI  - A Generalization of Wythoff's Game*
JO  - Canadian mathematical bulletin
PY  - 1959
SP  - 181
EP  - 190
VL  - 2
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1959-024-3/
DO  - 10.4153/CMB-1959-024-3
ID  - 10_4153_CMB_1959_024_3
ER  - 
%0 Journal Article
%T A Generalization of Wythoff's Game*
%J Canadian mathematical bulletin
%D 1959
%P 181-190
%V 2
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1959-024-3/
%R 10.4153/CMB-1959-024-3
%F 10_4153_CMB_1959_024_3

Cité par Sources :