Optimal Klappenspiel

Authors

Arthur T. Benjamin, Harvey Mudd CollegeFollow
Derek Stanford '93, Harvey Mudd College

Student Co-author

HMC Undergraduate

Document Type

Article

Department

Mathematics (HMC)

Publication Date

1995

Abstract

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%.

Comments

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.

Rights Information

© 1995 Consortium for Mathematics and Its Applications (COMAP, Inc.)

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Benjamin, A.T., & Stanford, D. (1995) Optimal Klappenspiel. Journal for Undergraduate Mathematics and Its Applications, 16(1): 11-20.