9 citations · 18 across the 7 of their papers we have counts for
8 papers
On the General Dead-Ending Universe of Partizan Games
Aaron N. Siegel
The universe of dead-ending partizan games has emerged as an important structure in the study of misère play. Here we attempt a systematic investigation of the struct…
On the Structure of Misère Impartial Games
Aaron N. Siegel
We consider the abstract structure of the monoid M of misère impartial game values. Several new results are presented, including a proof that the group of fractions of M is almost…
Memgames
Urban Larsson, Simon Rubinstein-Salzedo, Aaron N. Siegel
In this article, we study the structure, and in particular the Grundy values, of a family of games known as memgames.
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…
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…
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…