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Misere Nim with multi-player

机译:Misere Nim与多人玩家

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Krawec (2012) introduced a method of analyzing multi-player impartial games, and derived a recursive function capable of determining which of the n players has a winning strategy. The present paper is devoted to the game "Misere N-pile Nim with n players", abbreviated by MiNim(N, n), assuming that the standard alliance matrix is adopted. The game values of MiNim(N, n) are completely determined for three cases: n > N + 1, n = N + 1 and n = N. The case n < N is more complicated, we present the game values of MiNim(N, n) only for n = 3 and N = 4. (C) 2016 Elsevier B.V. All rights reserved.
机译:Krawec(2012)介绍了一种分析多人公正游戏的方法,并导出能够确定哪个N个玩家具有获胜策略的递归函数。 本文致力于游戏“Misere N-PIN NIM与N个玩家”,假设采用了标准联盟矩阵,通过最小(n,n)缩写。 最小值(n,n)的游戏值完全确定三个情况:n> n + 1,n = n + 1和n = n。情况n

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