allocations. In this paper we apply this solution concept for the Hospitals Residents problem with Couples (HRC). This is one of … the most important general stable matching problems due to its relevant applications, also wellknown to be NP-hard. We … show that if a stable allocation yielded by the Scarf algorithm turns outto be integral then it provides a stable matching …

This paper develops a framework for studying repeated matching markets. The model departs from the Gale …–Shapley matching model by having a fixed set of long-lived players (firms) match with a new generation of short-lived players (workers …) in every period. I define history-dependent and self-enforcing matching processes in this repeated matching environment …