Many sales, sports, and research contests are put in place to maximize contestants’ performance. We investigate and provide a complete characterization of the prize structures that achieve this objective in settings with many contestants. The contestants may be ex-ante asymmetric in their...

We give a sufficient condition on the type space for revenue equivalence when the set of social alternatives consists of probability distributions over a finite set. Types are identified with real-valued functions that assign valuations to elements of this finite set, and the type space is...

I show that a unique equilibrium exists in a two-player all-pay auction with asymmetric independent discrete signal distributions and asymmetric interdependent valuations. The proof is constructive, and the construction is simple to implement as a computer program. For special cases, which...