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...

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...

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...

This paper explores the optimal design of biased contests. A designer imposes an identity-dependent treatment on contestants, which varies the balance of the playing field. A generalized lottery contest typically yields no closed-form equilibrium solutions, which nullifies the usual implicit...

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...

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...

It is shown that the equilibrium in the asymmetric Tullock contest is unique for parameter values r ≤ 2. This allows proving a revenue ranking result saying that a revenue-maximizing designer capable of biasing the contest always prefers a contest technology with higher accuracy.

This paper provides a fully fledged equilibrium analysis for two-player sequential-move contests with complete information, while allowing for a full spectrum of the contest's accuracy and players' asymmetry. For a strong-lead contest, an interior equilibrium (both players are active) prevails...

This study examines contests in which prizes are affected linearly by aggregate effort. In particular, this research analyzes a contest among individuals as a benchmark to scrutinize the effects of prize externality and sharing-rule information on rent-dissipation rate and social welfare....