Accommodating various policy goals in matching with constraints

摘要

Distributional constraints are common features in many real matching markets, such as medical residency matching, school admissions, and teacher assignment. We present a model of matching with constraints that accommodates a wide variety of policy goals and apply that model to the setting of Kamada and Kojima (Am Econ Rev 105(1):67-99, 2015). We also formalize a number of other policy goals to show that they are subsumed by our model. We prove several comparative statics results such as showing that a mechanism we propose is a Pareto improvement for doctors upon the constrained medical matching mechanism currently used in Japan.