In college admissions and student placements at public schools, the admission decision can be thought of as assigning indivisible objects with capacity constraints to a set of students such that each student receives at most one object and monetary compensations are not allowed. In these...

We consider the problem of assigning students to schools on the basis of priorities. Students are allowed to have equal priority at a school. We characterize the efficient rules which weakly/strongly respect students’ priorities. When priority orderings are not strict, it is not possible to...