Misère Games and Misère Quotients

Details Misère Games and Misère Quotients Misère Games and Misère Quotients

2006-12-20

arxiv.org/abs/math/0612616v2

Mathematics

Combinatorics

34 pages; fixed references

Scientific paper

These lecture notes are based on a short course on mis\`ere 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 mis\`ere quotient construction; a proof of the Guy--Smith--Plambeck Periodicity Theorem; and statements of some recent results and open problems in the subject.

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