paper

From bocce to positivity: some probabilistic linear algebra

arXiv:1405.2994 · doi:10.4169/math.mag.86.2.110

Abstract

A question in geometric probability about the location of the balls in a game of bocce leads to related questions about the probability that a system of linear equations has a positive solution and the probability that a random zero-sum game favors the row player. Under reasonable assumptions we are able to find these probabilities.

14 pages