we can increase the probability of matching this pair at the expense of agents, who have lower priority at the object … implementing a (deterministically) stable matching with respect to the broken ties. As a second result, we derive a new …

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

requirements at each Army branch in military cadet matching and diversity considerations in school choice, whereby school districts … properties. We expect the use of our mechanisms to improve the performance of matching markets with distributional constraints in …