We consider how past, current, and future competition within an elimination tournament affect the probability that the stronger player wins. We present a two-stage model that yields the following main results: (1) a shadow effect--the stronger the expected future competitor, the lower the...

We consider how past, current, and future competition within an elimination tournament affect the probability that the stronger player wins. We present a two-stage model that yields the following main results: (1) a shadow effect--the stronger the expected future competitor, the lower the...

We study the value of commitment in contests and tournaments when there are costs for the follower to observe the leader's behavior. In a contest, the follower can pay to observe the leader's effort but cannot observe the effectiveness of that effort. In a tournament, the follower can pay to...