Year: 2006
Type: preprint
Abstract: We announce misere-play solutions to several previously-unsolved combinatorial games. The solutions are described in terms of misere quotients--commutative monoids that encode the additive structure of specific misere-play games. We also introduce several advances in the structure theory of misere quotients, including a connection between the combinatorial structure of normal and misere play.
Source: arXiv (Cornell University)
Authors: Plambeck, Thane E., Siegel, Aaron N.
Institution: Institute for Advanced Study
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2953082818