I examine a contest with identity-dependent rules in which contestants are privately informed and ex ante heterogeneous. A contestant may suffer from a handicap or benefit from a head start. The former reduces the contestantʼs score by a fixed percentage; the latter is an additive bonus....

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...