The strange algebra of combinatorial games

Abstract

We present an algebraic framework for the analysis of combinatorial games. This framework embraces the classical theory of partizan games as well as a number of misere games, comply-constrain games, and card games that have been studied more recently. It focuses on the construction of the quotient monoid of a game, an idea that has been successively applied to several classes of games.

21 pages

References in corpus (2)

• Taming the wild in impartial combinatorial games
• Three-player impartial games

Cited by in corpus (1)

• An Extension of the Normal Play Convention to $N$-player Combinatorial Games