49 citations · 56 across the 5 of their papers we have counts for
5 papers
The Secrets of Notakto: Winning at X-only Tic-Tac-Toe
Thane E. Plambeck, Greg Whitehead
We analyze misere play of impartial tic-tac-toe---a game suggested by Bob Koca in which both players make X's on the board, and the first player to complete three-in-a-row loses. T…
Misere quotients for impartial games: Supplementary material
Thane E. Plambeck, Aaron N. Siegel
We provide supplementary appendices to the paper Misere quotients for impartial games. These include detailed solutions to many of the octal games discussed in the paper, and descr…
Misere quotients for impartial games
Thane E. Plambeck, Aaron N. Siegel
We announce misere-play solutions to several previously-unsolved combinatorial games. The solutions are described in terms of misere quotients--commutative monoids that encode the…
Advances in losing
Thane E. Plambeck
We survey recent developments in the theory of impartial combinatorial games in misere play, focusing on how the Sprague-Grundy theory of normal-play impartial games generalizes to…
Taming the wild in impartial combinatorial games
Thane E. Plambeck
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…