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22nd Cumberland Conference on Combinatorics, Graph Theory and Computing
May 21-23, 2009
Western Kentucky University
Bowling Green, KY, USA

Organizers
Bela Csaba, Chair; Mustafa Atici; Robert Crawford; Claus Ernst; Dominic Lanphier; Attila Por

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Analysis of one pile misere Nim for two alliances.
by
Annela Kelly
Roger Williams University

The analysis of the classical two player game of Nim relies on binary representation of numbers. There is considerable interest in generalizations and modifications of the game. In this talk we investigate the misére Nim for more than two players. In the case of three or more players, the impartial game theory results do not apply. We present complete analysis of the game if two alliances are formed among the players.

Date received: April 18, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayq-24.