The Ordered Join of Impartial Games
Combinatorics
2021-05-19 v2
Abstract
Inspired by the theory of poset games, we introduce a new compound of impartial combinatorial games and provide a complete analysis in the spirit of the Sprague-Grundy theory. Furthermore, we establish several substitution and reduction principles for this compound and consider its computational aspects.
Keywords
Cite
@article{arxiv.2104.13131,
title = {The Ordered Join of Impartial Games},
author = {Mišo Gavrilović and Alexander Thumm},
journal= {arXiv preprint arXiv:2104.13131},
year = {2021}
}
Comments
12 pages, 3 figures; editorial changes