We study two-player all-pay contests in which there is a positive probability of a tied outcome. We show that the players' efforts in equilibrium do not depend on the expected prize in the case of a tie given that this prize is smaller than the prize for winning. The implications of this result...

We study asymmetric all-pay auctions with multiple objects where players’ values for the objects are common knowledge. The players have different values for the objects but they have the same ranking. The contest designer may award one prize including all the objects to the player with 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 study all-pay contests under incomplete information where the reward is a function of the contestant's type and effort. We analyse the optimal reward for the designer when the reward is either multiplicatively separable or additively separable in effort and type. In the multiplicatively...

We study all-pay contests in which there is a positive probability of a tied outcome. We analyse both one-stage contests and multi-stage contests with tie-breaks. We demonstrate that in symmetric two-player contests, the designer does not have an incentive to award a prize in a case of a tie....

We study two-player all-pay contests in which there is a positive probability of a tied outcome. We show that the players' efforts in equilibrium do not depend on the expected prize in the case of a tie given that this prize is smaller than the prize for winning. The implications of this result...

We study the classical Tullock's model of one-stage contests where the probability of winning is a function of the efforts exerted by the contestants. We show that by a simple non-discriminating rule the contest designer is able to manipulate the outcome of the contest such that the...