• 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