期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/40796
出版社：Hindawi Publishing Corporation
摘要：The analysis of the classical game of Nim relies on binary
representation of numbers as shown in the books of Berlekamp and
Gardener. There is considerable interest in generalizations and
modifications of the game. We will consider one-pile misère Nim
for more than two players. In the case of three or more players,
the impartial game theory results rarely apply. In this note, we
analyze the game in a variety of cases where alliances are formed
among the players.
