We study priority-based assignment problems with distributional and diversity objectives. Our work provides an axiomatic characterization of a general class of choice rules which are based on type-specific reserves and quotas. The choice rules in the class differ by the order in which applicants...

School districts in the US and around the world are increasingly moving away from traditional neighborhood school assignment, in which pupils attend closest schools to their homes. Instead, they allow families to choose from schools within district boundaries. This creates a market with parental...