9 citations · 14 across the 3 of their papers we have counts for
3 papers
math.CO2007★ 4 cited
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…
math.CO2007★ 9 cited
Misère canonical forms of partizan games
Aaron N. Siegel
We show that partizan games admit canonical forms in misère play. The proof is a synthesis of the canonical form theorems for normal-play partizan games and misère-play impartial g…
math.CO2007★ 1 cited
The structure and classification of misère quotients
Aaron N. Siegel
A \emph{bipartite monoid} is a commutative monoid $\Q$ together with an identified subset $¶\subset \Q$. In this paper we study a class of bipartite monoids, known as \emph{misère…