All-pay auctions with variable rewards

Available online from Blackwell SynergyWe study all–pay auctions with variable rewards under incomplete information. In standard models, a reward depends on a bidder’s privately known type; however, in our model it is also a function of his bid. We show that in such models there is a potential for paradoxical behavior where a reduction in the rewards or an increase in costs may increase the expected sum of bids or alternatively the expected highest bid