English

Sharing Nim and Enumeration of Nim Characteristics

Combinatorics 2020-08-05 v1 Computer Science and Game Theory

Abstract

In this paper, we introduce and examine a variant of the game of Nim (Sharing Nim), where players can either remove or transfer objects from 1 pile to another. The only restriction is that players may not transfer objects from a pile of greater size to a pile of smaller size. We also find new methods of enumerating characteristics of Nim and Sharing Nim, including the number of zero nim positions.

Keywords

Cite

@article{arxiv.2008.01075,
  title  = {Sharing Nim and Enumeration of Nim Characteristics},
  author = {Donghyun Kim},
  journal= {arXiv preprint arXiv:2008.01075},
  year   = {2020}
}

Comments

Published in the International Journal of Software & Hardware Research in Engineering (IJSRE)