We examine a dynamic, two-sided, one-to-one matching market where agents on both sides interact over a period of time. We define and identify sufficient conditions for the existence of a dynamically stable matching, which may require revisions to initial assignments. A generalization of the deferred acceptance algorithm can identify dynamically stable outcomes in a large class of economies, including cases with intertemporal preference complementarities. We relate our analysis to market unraveling and to common market design applications, including the medical residency match.


Kadam, Sangram V., and Maciej H. Kotowski. "Multiperiod Matching." International Economic Review 59.4 (November 2018): 1927-1947.