This paper considers a situation in which participants with heterogeneous ability types are grouped into different competitions for performance ranking. In a contest, there may be performance spillovers, because of which a participant can benefit from others' performance. A planner can allocate...

This paper considers a situation in which students with heterogeneous ability types are grouped into different competitions for performance ranking. A planner can group the students and design prize structure in each competition in order to maximize the weighted total performance subject to a...