Distributional constraints are common features in many real matching markets, such as medical residency matching …, school admissions, and teacher assignment. We develop a general theory of matching mechanisms under distributional … is stable and strategy-proof for the individuals. Our proof exploits a connection between a matching problem under …

-proof mechanism that is constrained efficient, i.e. that always produces a stable matching that is not Pareto-dominated by another … stable matching. We characterize all solvable priority structures satisfying the following two restrictions: (A) Either there …

characterize the existence of stable assignments in many-to-one matching problems with externalities. The set of stable matchings … bottom q-substitutability that guarantees the existence of at least one stable matching when the set of estimations includes …