Contests are well-established mechanisms for political lobbying, innovation, rentseeking, incentivizing workers, and advancing R&D. A well-known theoretical result in the contest literature is that greater heterogeneity decreases investments of contestants because of the "discouragement effect."...

We consider the design of contests for n agents when the principal can choose both the prize profile and the contest success function. Our framework includes Tullock contests, Lazear-Rosen tournaments and all-pay contests as special cases, among others. We show that the optimal contest has an...