2005/01/31 by Thane E. Plambeck · 1 citation
Mathematics · #math.CO #msc:91A46
published as INTEGERS: Electronic Journal of Combinatorial Number Theory 5 (2005) #G05 · 35 pages. Accepted by INTEGERS: The Electronic Journal of Combinatorial Number Theory. See also http://www.plambeck.org/oldhtml/mathematics/games/misere
arxiv created 2005/07/16 · arxiv updated 2009/12/01
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.