[en] In the context of 2-player removal games, we define the notion of invariant game for which each allowed move is independent of the position it is played from. We present a family of invariant games which are variations of
Wythoff's game. The set of P-positions of these games are given by a pair of complementary Beatty sequences related to the irrational quadratic number $\alpha_k = (1; \overline{1, k})$. We also provide a recursive characterization of this set.
Disciplines :
Mathematics
Author, co-author :
Duchêne, Eric
Rigo, Michel ; Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
