In this paper, we study score procurement auctions with all-pay quality bids. A supplier's score is the difference between his quality and price bids. The supplier with the highest score wins and gets paid his own price bid. The procurer's payoff is the difference between the winner's quality...

In many real-life contests, contestants do not know their own type (e.g., value or ability) prior to a competition; and contestants’ types, which are observed privately once entering the contest, are often correlated with each other. We study a two-stage contest in which two players with...