Title

Analysis of One Pile Misére NIM for Two Alliances

Publication Date

2011

Document Type

Article

Abstract

The traditional game of Nim is an impartial game for two players that plays a central role in combinatorial game theory. The analysis of the two-player game relies on binary representations of numbers, see [1,2]. However, the game for three or more players has not been studied extensively. In this paper, we will consider a one-pile Nim misére version for more than two players. Typically, the strategy for the game of one-pile Nim with three or more players cannot be completely determined without considering alliances. The paper [3] establishes the basic terminology and certain fundamental results for the game with three or more players. The current paper expands it to a general result.

Original Citation

Kelly, A.R. (2011). Analysis of One Pile Misére NIM for Two Alliances. Rocky Mountain Journal of Mathematics, 41(6), pp. 895-1906. doi: 10.1216/RMJ-2011-41-6-1895

Identifier

doi: 10.1216/RMJ-2011-41-6-1895