We study a new variant of the school choice problem in which capacities can be altered by distributing additional seats across schools in response to students’ reported preferences. We show that heuristics solutions to this capacity design problem can be inefficient, even if they focus on...

We introduce a generalization of the school choice problem motivated by the following observations: students are assigned to grades within schools, many students have siblings who are applying as well, and school districts commonly guarantee that siblings will attend the same school. This last...

We generalize the school choice problem by defining a notion of allowable priority violations. In this setting, a weak axiom of stability (partial stability) allows only certain priority violations. We introduce a class of algorithms called the Student Exchange under Partial Fairness (SEPF)....

During the pandemic, school districts have adopted hybrid schedules to continue the education of the students while maintaining social distance. In a hybrid schedule, students in the same classroom are usually divided into two groups and students only in the same group can physically attend...

We study a new variant of the school choice problem in which capacities can be altered by distributing additional seats across schools in response to students’ reported preferences. We show that heuristic solutions to this capacity design problem can be inefficient, even if they focus on...