Gambler's ruin in three dimensions.

Gambler's ruin in three dimensions.

Probability Seminar
Sep 11, 2019, 03:10 PM - 04:00 PM | 1011 Evans Hall | Happening As Scheduled
Persi Diaconis, Stanford University
Picture three gamblers with initial capital x(A), x(B), x(C) summing to N. Each time a pair of gamblers is chosen uniformly and they flip a fair coin. Consider the first time one of them hits zero. How are the fortunes of the other two distributed and how does this depend on how they start? Approximations (upper and lower bounds with reasonable constants) are derived for parallel problems on...