The strange algebra of combinatorial games

Details The strange algebra of combinatorial games The strange algebra of combinatorial games

2009-12-02

arxiv.org/abs/0912.0448v1

Mathematics

Combinatorics

21 pages

Scientific paper

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.

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