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Optimal Klappenspiel, Arthur T. Benjamin, Derek Stanford '93
Optimal Klappenspiel, Arthur T. Benjamin, Derek Stanford '93
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The game Klappenspiel ("flipping game") is a traditional German game of flipping tiles according to dice rolls. In this paper, we derive the optimal strategy for this game by using dynamic programming. We show that the probability of winning using the optimal strategy is 0.30%.