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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
