Randomized trial reveals a winning strategy and periodic results in m-pile divisor nim games, indicating optimal play.
Makino defined 2-pile divisor nim as a variation of 2-pile nim. In this paper, we generalize it to m-pile divisor nim and give a winning strategy. Moreover, we also show that the nim-value of a position of m-pile divisor nim is periodic.
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Takayuki Morisawa (2026) studied this question.
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