We study asymmetric first-price auctions with n bidders. We expand the results of Fibich et al. (2002) for asymmetric first-price auctions to a general utility function. We show that for low type bidders, the equality of equilibrium bids with symmetric, uniform distribution bids holds for 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...

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 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 use perturbation analysis to study independent private-value all-pay auctions with weakly risk-averse buyers. We show that under weak risk aversion: 1) Buyers with low values bid lower and buyers with high values bid higher than they would bid in the risk neutral case. 2) Buyers with low...