Taming the wild in impartial combinatorial games

Details Taming the wild in impartial combinatorial games Taming the wild in impartial combinatorial games

2005-01-20

arxiv.org/abs/math/0501315v2

INTEGERS: Electronic Journal of Combinatorial Number Theory 5 (2005) #G05

Mathematics

Combinatorics

35 pages. Accepted by INTEGERS: The Electronic Journal of Combinatorial Number Theory. See also http://www.plambeck.org/oldh

Scientific paper

We introduce a misere quotient semigroup construction in impartial
combinatorial game theory, and argue that it is the long-sought natural
generalization of the normal-play Sprague-Grundy theory to misere play. Along
the way, we illustrate how to use the theory to describe complete analyses of
two wild taking and breaking games.

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