Econ Papers Daily / 期刊论文
获胜策略与周期性
Winning strategy and periodicity of
摘要
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.
中文摘要
Makino将2堆除数取子游戏定义为2堆取子游戏的一种变体。本文将其推广至m堆除数取子游戏，并给出获胜策略。此外，我们还证明了m堆除数取子游戏任一局面的nim值具有周期性。