We analyze a T-period, two-sided, one-to-one matching market without monetary transfers. Under natural restrictions on agents' preferences, which accommodate switching costs, status-quo bias, and other forms of inter-temporal complementarity, dynamically stable matchings exist. We propose a new ordering of the stable set ensuring that it forms a lattice. We investigate the robustness of dynamically stable matchings with respect to the market's time horizon and frequency of rematching opportunities.


Kadam, Sangram V., and Maciej H. Kotowski. "Time Horizons, Lattice Structures, and Welfare in Multi-period Matching Markets." Games and Economic Behavior 112 (November 2018): 1-20.