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.

Abstract

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.