Title of article :
Misère quotients for impartial games
Author/Authors :
Plambeck، نويسنده , , Thane E. and Siegel، نويسنده , , Aaron N.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Pages :
30
From page :
593
To page :
622
Abstract :
We announce misère-play solutions to several previously-unsolved combinatorial games. The solutions are described in terms of misère quotients—commutative monoids that encode the additive structure of specific misère-play games. We also introduce several advances in the structure theory of misère quotients, including a connection between the combinatorial structure of normal and misère play.
Keywords :
Combinatorial game , Misere game , Misere quotient , Misere play , Impartial game , Commutative monoid
Journal title :
Journal of Combinatorial Theory Series A
Serial Year :
2008
Journal title :
Journal of Combinatorial Theory Series A
Record number :
1531293
Link To Document :
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