Circular Nim Games
Combinatorics
2012-11-02 v1
Abstract
A circular Nim game is a two player impartial combinatorial game consisting of n stacks of tokens placed in a circle. A move consists of choosing k consecutive stacks, and taking at least one token from one or more of the k stacks. The last player able to make a move wins. We prove results on the structure of the losing positions for small n and k and pose some open questions for further investigations.
Cite
@article{arxiv.1211.0091,
title = {Circular Nim Games},
author = {Matthieu Dufour and Silvia Heubach},
journal= {arXiv preprint arXiv:1211.0091},
year = {2012}
}