We examine a dynamic, multi-period, bilateral matching market, such as a labor market where workers are long-lived and production occurs over a period of time. We define and identify sufficient conditions for the existence of a dynamically stable matching. Our framework accommodates many forms of inter-temporal preference complementarities, including a taste for variety and a status-quo bias. Extensions of our model incorporating imperfect information and financial transfers are proposed. 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. "Multi-period Matching." HKS Faculty Research Working Paper Series RWP15-030, June 2015.