paper

The Ordered Join of Impartial Games

arXiv:2104.13131

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.

12 pages, 3 figures; editorial changes

The Ordered Join of Impartial Games · wovepaper