In this note I give a full characterization of all deterministic direct mechanisms in the public good provision problem with independent private values that are dominant strategy incentive compatible, ex-post individually rational, and ex-post budget balanced.

This paper analyzes a two-player all-pay auction with incomplete information. More precisely, one bidder is uncertain about the size of the initial advantage of his rival modeled as a head start in the auction. I derive the unique Bayesian Nash equilibrium outcome for a large class of cumulative...