The matching literature commonly rules out that market design itself shapes agent preferences. Underlying this premise is the assumption that agents know their own preferences at the outset and that preferences do not change throughout the matching process. Under this assumption, a centralized...

We consider a simple model of the competitive screening of students by schools and colleges. Students apply to schools which then perform costly screening procedures of the applicants to select those with high ability. Students who receive more than one offer may choose among those. Colleges...