rules. The stability and efficiency of a partition depends on the matching rule φ. The results are stated under various …We define two versions of stability and efficiency of partitions and analyze their relationships for some matching … the matching rule is individually rational and Pareto optimal, the set of φ-stable and φ-efficient partitions coincide …

maximum matching can avoid this risk and enjoy higher payoffs than inessential players. Although the search for partners is …

Floor constraints are a prominent feature of many matching markets, such as medical residency, teacher assignment, and … military cadet matching. We develop a theory of matching markets under floor constraints. We introduce a stability notion …, which we call floor respecting stability, for markets in which (hard) floor constraints must be respected. A matching is …