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math.HO2019
Teaching a university course on the mathematics of gambling
Stewart N. Ethier, Fred M. Hoppe
Courses on the mathematics of gambling have been offered by a number of colleges and universities, and for a number of reasons. In the past 15 years, at least seven potential textb…
math.PR2019
Snackjack: A toy model of blackjack
Stewart N. Ethier, Jiyeon Lee
Snackjack is a highly simplified version of blackjack that was proposed by Ethier (2010) and given its name by Epstein (2013). The eight-card deck comprises two aces, two deuces, a…
math.PR2019
How strong can the Parrondo effect be?
S. N. Ethier, Jiyeon Lee
If the parameters of the original Parrondo games and are allowed to be arbitrary, subject to a fairness constraint, and if the two (fair) games and are played in an…