Time horizons, lattice structures, and welfare in multi-period matching markets

With co-author Maciej H. Kotowski, Sangram Kadam analyzes 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. The authors propose a new ordering of the stable set ensuring that it forms a lattice, and investigate the robustness of dynamically stable matchings with respect to the market’s time horizon and frequency of rematching opportunities.