Additive Periodicity of the Sprague–Grundy Function of Certain Nim Games

Dress A, Flammenkamp A, Pink N. Additive Periodicity of the Sprague–Grundy Function of Certain Nim Games. Advances in Applied Mathematics. 1999;22(2):249-270.We deduce conditions for additive periodicity of the Sprague-Grundy function of Nim-like games, starting with Wythoff's classic game and ending up with a fairly large class of impartial games played on directed graphs. (C) 1999 Academic Press