We consider a population of students with heterogeneous characteristics, and examine the dual design problem consisting of (a) allocating students to schools and (b) choosing how to grade students in school, with a view to optimizing students' incentives to work hard. We show that any optimal school design exhibits stratification, and more lenient grading at the top-tier schools than at the bottom-tier schools. Our results highlight a novel trade-off between the size of the pie and its equal division in the context of school design.

A principal designs an information structure and chooses transfers to an agent that are contingent on the action of a receiver. The principal faces a trade-off between, on the one hand, designing an information structure maximizing non-monetary payoffs, and on the other hand, minimizing the information rent that must be conceded to the agent in order to implement the information structure which the principal designed. We examine how this trade-off shapes communication. Our model can be applied to study the relationship between, e.g.: political organizations and the public relations companies that campaign on their behalf, firms and the companies marketing their products, consultancies and the analysts they employ.