Scoring Play Combinatorial Games
Combinatorics
2012-11-08 v3
Abstract
In this paper we will discuss scoring play games. We will give the basic definitions for scoring play games, and show that they form a well defined set, with clear and distinct outcome classes under these definitions. We will also show that under the disjunctive sum these games form a monoid that is closed and partially ordered. We also show that they form equivalence classes with a canonical form, and even though it is not unique, it is as good as a unique canonical form.
Cite
@article{arxiv.1202.4653,
title = {Scoring Play Combinatorial Games},
author = {Fraser Stewart},
journal= {arXiv preprint arXiv:1202.4653},
year = {2012}
}
Comments
This paper has been accepted to appear in the journal Games of No Chance 5 - Publication due in 2013