Misère Games and Misère Quotients
Aaron N. Siegel
Abstract
These lecture notes are based on a short course on misère quotients offered at the Weizmann Institute of Science in Rehovot, Israel, in November 2006. They include an introduction to impartial games, starting from the beginning; the basic misère quotient construction; a proof of the Guy--Smith--Plambeck Periodicity Theorem; and statements of some recent results and open problems in the subject.
Create a lesson
Related papers
Graded Ehrhart theory for hypersimplices
Nathaniel Libman, Weston Miller
Closing the gap and settling the problem of queens on an n× n board, each attacking at most one other
Kristina Ago, Bojan Bašić, Radojka Ciganović
Leading term strandings for webs
Michael Bo, Madelyn Burns, Junyang Chen et al.
Refutation of the Non-Cancelling-Intersections Conjecture
Hermann Wilhelm
Asymptotic Bounds for Online Ramsey Numbers of Stars versus Long Paths and Cycles
Sam Beilis, Israel R. Curbelo, Elizabeth R. Koizumi
The Erdos--Gallai bound for consecutive even cycle lengths
Yaobin Chen, Hong Liu, Xia Wang et al.