Gambler's ruin in three dimensions.

Probability Seminar
Sep 11, 2019 3:10pm to 4:00pm
1011 Evans Hall
Happening As Scheduled
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...
Persi Diaconis, Stanford University