Taming the wild in impartial combinatorial games
组合数学
2007-05-23 v2
摘要
We introduce a misere quotient semigroup construction in impartial combinatorial game theory, and argue that it is the long-sought natural generalization of the normal-play Sprague-Grundy theory to misere play. Along the way, we illustrate how to use the theory to describe complete analyses of two wild taking and breaking games.
引用
@article{arxiv.math/0501315,
title = {Taming the wild in impartial combinatorial games},
author = {Thane E. Plambeck},
journal= {arXiv preprint arXiv:math/0501315},
year = {2007}
}
备注
35 pages. Accepted by INTEGERS: The Electronic Journal of Combinatorial Number Theory. See also http://www.plambeck.org/oldhtml/mathematics/games/misere