We study the allocation of homogeneous positions under affirmative action policies where some positions are reserved for underrepresented groups on a “minimum guarantee” basis. Each individual has a merit-based score and may be eligible for multiple reserves. When an individual counts...

We study the allocation of homogeneous positions under affirmative action policies where some positions are reserved for underrepresented groups on a ``minimum guarantee'' basis. Each individual has a merit-based score and may be eligible for multiple reserves. When an individual accommodates...

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 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...