We analyze a simple decentralized matching mechanism in market with couples called One Application Mechanism. Under this mechanism any stable matching of the market can be attained in Subgame Perfect equilibrium (SPE). In contrast with previous results, we find that the mechanism may attain...

Since the core of a housing market with externalities may be empty, we propose as a solution concept the set of allocations that satisfy two basic properties: Pareto efficiency and the No-regret condition. Our main result shows that for any instance of the housing market problem, there always...