We study all-pay auctions with multiple prizes. The players have the same value for all the certain prizes except for one uncertain prize for which each player has a private value. We characterize the equilibrium strategy and show that if the number of prizes is smaller than the number of...

We study all-pay auctions with multiple prizes. The players have the same value for all the certain prizes except for one uncertain prize for which each player has a private value. We characterize the equilibrium strategy and show that, independent of the ranking of the uncertain prize, if the...

We study an asymmetric all-pay auction with a general utility function. We show that high-type bidders in all-pay auction with lower density, are bidding more aggressively than bidders with higher density. This result is contradictory to the result in Parreiras and Rubinchik (2010) on aggressive...