Impartial Scoring Play Games
Combinatorics
2012-08-07 v2
Abstract
In this paper we will be examining impartial scoring play games. We first give the basic definitions for what impartial scoring play games are and look at their general structure under the disjunctive sum. We will then examine the game of nim and all octal games, and define a function that can help us analyse these games. We will finish by looking at the properties this function has and give many conjectures about the behaviour this function exhibits.
Keywords
Cite
@article{arxiv.1202.4655,
title = {Impartial Scoring Play Games},
author = {Fraser Stewart},
journal= {arXiv preprint arXiv:1202.4655},
year = {2012}
}