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arXiv 1405.3036math.CO
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二元双子叶植物,双子叶植物游戏的核心

Binary dicots, a core of dicot games

Gabriel Renault

摘要:

我们在Misère约定下研究组合博弈。为了更好地理解misère博弈的行为,之前已经考虑了几组博弈。我们在这里连接几个这样的集合。特别是,我们证明了比较模二进制双子游戏往往是相同的比较模双子游戏,等价模双子游戏和模公平游戏是相同的,当他们被限制到公平的游戏。

英文摘要:

We study combinatorial games under misère convention. Several sets of games have been considered earlier to better understand the behaviour of misère games. We here connect several of these sets. In particular, we prove that comparison modulo binary dicot games is often the same as comparison modulo dicot games, and that equivalence modulo dicot games and modulo impartial games are the same when they are restricted to impartial games.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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