This paper completely characterizes the set of Nash equilibria of the Vickrey auction for multiple identical units when buyers have non-increasing marginal valuations and there at least three potential buyers. There are two types of equilibria: In the first class of equilibria there are positive...

We study the design of all-pay contests when the organizer's objective is to maximize the expected winner's effort and contestants have private information about their valuations for the prize. We identify sufficient conditions for every optimal contest to involve differential treatment of ex...

We derive the revenue maximizing allocation of m units among n symmetric agents who have unit demand, and who take costly actions that influence their values before participating in the mechanism. The allocation problem with costly actions can be represented by a reduced form model where agents...