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%.
© 1995 Consortium for Mathematics and Its Applications (COMAP, Inc.)
Benjamin, A.T., & Stanford, D. (1995) Optimal Klappenspiel. Journal for Undergraduate Mathematics and Its Applications, 16(1): 11-20.
First published in the Journal for Undergraduate Mathematics and Its Applications, vol. 16, no. 1 (Spring 1995), pg. 11-20, by the Consortium for Mathematics and Its Applications.