Tame and Wild Scoring Play Games
Combinatorics
2013-03-19 v1
Abstract
In this paper, we will be proving mathematically that scoring play combinatorial game theory covers all combinatorial games. That is, there is a sub-set of scoring play games that are identical to the set of normal play games, and a different sub-set that is identical to the set of mis\`ere play games. This proves conclusively, that scoring play combinatorial game theory is a complete theory for combinatorial games, and that every combinatorial game, regardless of the rule-set, can be analysed using scoring play combinatorial game theory.
Keywords
Cite
@article{arxiv.1303.4275,
title = {Tame and Wild Scoring Play Games},
author = {Fraser Stewart},
journal= {arXiv preprint arXiv:1303.4275},
year = {2013}
}