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 …Floor constraints are a prominent feature of many matching markets, such as medical residency, teacher assignment, and …

, unique stable matching is obtained through a procedure that resembles a serial dictatorship. Thus, acyclicity generalizes the …This paper analyzes the role of acyclicity in singleton cores. We show that the absence of simultaneous cycles is a … sufficient condition for the existence of singleton cores. Furthermore, acyclicity in the preferences of either side of the …

Ostrovsky [10] develops a theory of stability for a model of matching in exogenously given networks. For this model a … generalization of pairwise stability, chain stability, can always be satisfied as long as agents’ preferences satisfy same side … structure and (cooperative) solution concepts. The main structural condition is an acyclicity notion that rules out the …