Optimal rank-order tournaments have traditionally been studied using a first-order approach. The present analysis relies instead on the construction of an "upper envelope" over all incentive compatibility conditions. lt turns out that the first-order approach is not innocuous. For example, in...

Optimal rank-order tournaments have traditionally been studied using a first-order approach. The present analysis relies instead on the construction of an "upper envelope" over all incentive compatibility conditions. It turns out that the first-order approach is not innocuous. For example, in...

Rank-order tournaments are usually modeled simultaneously. However, real tournaments are often sequentially. We show that agents' strategic behavior significantly differs in sequential tournaments compared to simultaneous tournaments. In a sequential tournament, under certain conditions the...

We propose a novel tournament design that incorporates the main properties of a round-robin tournament, a Swiss tournament, and a race. Following an equilibrium analysis, we compare 36 tournament structures inherent in our model and several well-known tournament models from the literature, on...