I investigate three goals of school choice: student welfare, encouraging neighborhood schools, and diversity. I develop a framework for finding the optimal match for any combination of these objectives while respecting stability and incentive compatibility. I then apply my framework to data from...

An observer makes a number of observations of an industry producing a homogeneous good. Each observation consists of the market price, the output of individual firms and perhaps information on each firm's production cost. We provide various tests (typically, linear programs) with which the...