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AN EXTENSION OF THE NORMAL PLAY CONVENTION TO N-PLAYER COMBINATORIAL GAMES

机译:N-Player组合游戏的正常播放惯例的延伸

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We examine short combinatorial games for three or more players under a new play convention in which a player who cannot move on their turn is the unique loser. We show that many theorems of impartial and partizan two-player games under normal play have natural analogues in this setting. For impartial games with three players, we investigate the possible outcomes of a sum in detail, and determine the outcomes and structure of three-player Nim.
机译:我们在一个新的游戏公约下检查三名或更多球员的短组合游戏,其中一个不能在轮到他们转向的球员是独特的失败者。我们展示了正常播放下公正和Partizan双球场游戏的许多定理在此设置中具有自然的类似物。对于具有三名球员的公正游戏,我们详细探讨了总和的可能结果,并确定了三位玩家尼姆的结果和结构。

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