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Persistent link: https://www.econbiz.de/10008673731
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
We study employment by lotto (Aldershof et al., 1999), a procedurally fair matching algorithm for the so-called stable marriage problem. We complement Aldershof et al.'s (1999) analysis in two ways. First, we give an alternative and intuitive description of employment by lotto in terms of a...
Persistent link: https://www.econbiz.de/10010547326
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