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paths to stability cannot always be guaranteed. We identify a necessary and sufficient condition for an assignment problem … paths to stability and show how to construct such a path whenever this is possible. …
Persistent link: https://www.econbiz.de/10010696483
We correct an omission in the definition of our domain of weakly responsive preferences introduced in Klaus and Klijn (2005) or KK05 for short. The proof of the existence of stable matchings (KK05, Theorem 3.3) and a maximal domain result (KK05, Theorem 3.5) are adjusted accordingly.
Persistent link: https://www.econbiz.de/10010851319
We give a simple and concise proof that so-called generalized median stable matchings are well-defined for college admissions problems. Furthermore, we discuss the fairness properties of median stable matchings and conclude with two illustrative examples of college admissions markets, the...
Persistent link: https://www.econbiz.de/10010851408
, the domain of weakly responsive preferences, that guarantees stability. Under a restricted unemployment aversion condition …) responsiveness, that model the wish of couples to be closer together, cause instability, even when we use a weaker stability notion …
Persistent link: https://www.econbiz.de/10010547122
We study procedurally fair matching mechanisms that produce stable matchings for the so-called marriage model of one-to-one, two-sided matching. Our main focus is on two such mechanisms: employment by lotto introduced by Aldershof et al. (1999) and the random order mechanism due to Roth and...
Persistent link: https://www.econbiz.de/10010547153
incompatible concepts of stability (represented by the political economist Adam Smith) and fairness (represented by the political …
Persistent link: https://www.econbiz.de/10010547371
In this note we study the National Resident Matching Program (NRMP) algorithm in the US market for physicians. We report on two problems that concern the presence of couples, a feature explicitly incorporated in the new NRMP algorithm (cf. Roth and Peranson, 1999). First, we show that the new...
Persistent link: https://www.econbiz.de/10010547404
stability for decentralized singles markets. Furthermore, we show that when stable matchings exist, but preferences are not …
Persistent link: https://www.econbiz.de/10010547436
We consider general two-sided matching markets, so-called matching with contracts markets as introduced by Hatfield and Milgrom (2005), and analyze (Maskin) monotonic and Nash implementable solutions. We show that for matching with contracts markets the stable correspondence is monotonic and...
Persistent link: https://www.econbiz.de/10010272554
We consider two-sided matching markets with couples. First, we extend a result by Klaus and Klijn (2005, Theorem 3.3) and show that for any weakly responsive couples market there always exists a 'double stable' matching, i.e., a matching that is stable for the couples market and for any...
Persistent link: https://www.econbiz.de/10010272573