One-pile misère Nim for three or more players

Annela R. Kelly

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-8

Abstract:

The analysis of the classical game of Nim relies on binaryrepresentation of numbers as shown in the books of Berlekamp andGardener. There is considerable interest in generalizations andmodifications of the game. We will consider one-pile misère Nimfor more than two players. In the case of three or more players,the impartial game theory results rarely apply. In this note, weanalyze the game in a variety of cases where alliances are formedamong the players.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:040796

DOI: 10.1155/IJMMS/2006/40796

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