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...

We show that the prevalence of prolonged tennis contests drops sharply when the ambient environment deteriorates through heat or pollution. We develop a multi-battle dynamic model to investigate how the disutility from a protracted competition shapes agents' willingness to fight on. Our theory...