This paper considers a two-stage game with two owners and two managers. On the first stage, the owners choose a linear combination of profits and sales as incentives for their managers. On the second stage, the two managers compete in a tournament against each other. In a symmetric equilibrium,...

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...