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PARTIZAN KAYLES AND MISERE ` INVERTIBILITY

机译:Partizan Kayles和Misere`可靠性

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The impartial combinatorial game kayles is played on a row of pins, with players taking turns removing either a single pin or two adjacent pins. A natural partizan variation is to allow one player to remove only a single pin and the other only a pair of pins. This paper develops a complete solution for partizan kayles under mis`ere play, including the mis`ere monoid of all possible sums of positions, and discusses its significance in the context of mis`ere invertibility: the universe of partizan kayles contains a position whose additive inverse is not its negative, and moreover, this position is an example of a right-win game whose inverse is previous-win.
机译:公正的组合游戏kayles在一排别针上播放,球员轮流去除单个销或两个相邻的销。自然的Partizan变化是允许一名球员只能去除单个销和另一对销。本文对Miss的Play下的Partizan Kayles开发了完整的解决方案,包括MIS中的所有可能的职位和所有职位和讨论其在误差范围内的重要性:Partizan Kayles的宇宙包含一个职位附加反转不是它的负面,而且这种位置是右赢得的右翼游戏的一个例子,其反向赢了。

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