I characterize the optimal accuracy level r of an unbiased Tullock contest between two players with heterogeneous prize valuations. The designer maximizes the winning probability of the strong player or the winner’s expected valuation by choosing a contest with an all-pay auction equilibrium...

We examine the fairness and intensity of sequential round-robin tournaments with multiple prizes. With three symmetric players and two prizes, the tournament is completely fair if and only if the second prize is valued half of the first prize, regardless of whether matches are organized as...

I examine sequential round-robin tournaments with three and four symmetric players. Each player is matched once with each other player. If the matches are organized as Tullock contests (all-pay auctions), the tournament will be almost fair (highly discriminatory): subject to the position of...

A well-known theoretical result in the contest literature is that greater heterogeneity decreases performance of contestants because of the "discouragement effect." Leveling the playing field by favoring weaker contestants through bid-caps and favorable tie-breaking rules can reduce the...

We consider contestants who must choose exactly one contest, out of several, to participate in. We show that when the contest technology is of a certain type, or when the number of contestants is large, a self-allocation equilibrium, i.e., one where no contestant would wish to change his choice...

I examine the impact of risk preferences on efforts and winning probabilities in generalised Tullock contests between two players. The theoretical analysis yields two main results. First, I specify a sufficient condition on the agents' comparative prudence under which a higher common level of...

This paper deals with double lobbying: several bureaucrats participate in joint lobbying to get a high total departmental budget, but they also engage in antagonistic lobbying to reap as high a share of the total budget as possible. The antagonistic lobbying constitutes a contest among the...

I present a two-player nested contest which is a convex combination of two widely studied contests: the Tullock (lottery) contest and the all-pay auction. A Nash equilibrium exists for all parameters of the nested contest. If and only if the contest is sufficiently asymmetric, then there is an...

Status-seeking exists in all societies but different societies value status differently. How does the importance of social status affect the mode of status-seeking? I consider a game in which status can be achieved through productive effort that increases wealth or through a contest in which...

We investigate overlapping contests in multi-divisional organizations in which an individual's effort simultaneously determines the outcome of several contests on different hierarchical levels. We show that individuals in smaller units are advantaged in the grand (organization-wide) contest for...