We model student enrollment in markets for higher education where public universities, private non-profit universities, and private for-profit universities compete. Universities differ with respect to their capacity, graduation probability, and profit objective; students differ in ability. The...

We consider a two-player contest model in which breakthroughs arrive according to privately observed Poisson processes. Each player's process continues as long as she exerts costly effort. The player who collects most breakthroughs until a predetermined deadline wins a prize.We derive Nash...

This paper introduces a class of contest models in which each player decides when to stop a privately observed Brownian motion with drift and incurs costs depending on his stopping time. The player who stops his process at the highest value wins a prize. We prove existence and uniqueness of a...