We study a contest design problem in which a designer chooses how many Tullock contests to have, how much to award to each contest, and which contestants (of high or low type) should be assigned to which contest. Our main result is that a single grand contest maximizes total effort. We consider...

We consider a best-of-three Tullock contest between two ex-ante identical players. An effort-maximizing designer commits to a vector of player-specific biases (advantages or disadvantages). In our benchmark model the designer chooses victory-dependent biases (i.e., the biases depend on the...

Multi-battle team contests are ubiquitous in real-life competitions. All temporal structures of multi-battle team contests yield the same total effort, as demonstrated by Fu, Lu, and Pan (2015, American Economic Review, 105(7): 2120-40)'s remarkable temporal-structure independence. Rather than...

In sequential contests between ex-ante symmetric players, the outcome of early battles creates an asymmetry in players' incentives to expend resources, which undermines future expenditures. This dynamic force is absent in simultaneous contests, and consequently expenditures in sequential...

We study a contest design problem in which a designer chooses how many Tullock contests to have, how much to award to each contest, and which contestants (of high or low type) should be assigned to which contest. Our main result is that a single grand contest maximizes total effort. We consider...

One of the most widely accepted explanations for why wars occur despite its Pareto-suboptimality is mutual optimism: if both sides expect to gain a lot by fighting, war becomes inevitable. The literature on mutual optimism typically assumes mutually optimistic beliefs and shows that, under such...

A random variable is difference-form decomposable (DFD) if it may be written as the difference of two i.i.d. random terms. We show that densities of such variables exhibit a remarkable degree of structure. Specifically, a DFD density can be neither approximately uniform, nor quasiconvex, nor...

A random variable is difference-form decomposable (DFD) if it may be written as the difference of two i.i.d. random terms. We show that densities of such variables exhibit a remarkable degree of structure. Specifically, a DFD density can be neither approximately uniform, nor quasiconvex, nor...