Abstract
This paper generalizes the college admissions problem in a dynamic direction. We show some results from the college admissions problem continue to hold in the dynamic model, but some do not carry over. We propose a solution concept, dynamic stability, that involves backward induction and maximin. We also propose two other solution concepts: dynamically group stability and dynamic weak core. These three solution concepts will degenerate to their conventional counterpart if the dynamic model degenerates to the college admissions problem, in which they coincide with each other. Even though they do not coincide in the dynamic model, all of them require a static stable matching in the last period.
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