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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 prove a “General Manipulability Theorem” for general one-to-one two-sided matching markets with money. This theorem …
Persistent link: https://www.econbiz.de/10010851337
We show that the full version of the so-called "rural hospital theorem" generalizes to many-to-many matching problems …
Persistent link: https://www.econbiz.de/10010851401
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
We observe that three salient solutions to matching, division and house allocation problems are not only (partially …
Persistent link: https://www.econbiz.de/10010851415
A multiple-partners assignment game with heterogeneous sells and multi-unit demands consists of a set of sellers that own a given number of indivisible units of (potentially many different) goods and a set of buyers who value those units and want to buy at most an exogenously fixed number of...
Persistent link: https://www.econbiz.de/10010851453
Couples looking for jobs in the same labor market may cause instabilities. We determine a natural preference domain, the domain of weakly responsive preferences, that guarantees stability. Under a restricted unemployment aversion condition we show that this domain is maximal for the existence of...
Persistent link: https://www.econbiz.de/10010547122
Recently, several school districts in the US have adopted or consider adopting the Student-Optimal Stable mechanism or the Top Trading Cycles mechanism to assign children to public schools. There is evidence that for school districts that employ (variants of) the so-called Boston mechanism the...
Persistent link: https://www.econbiz.de/10010547129
The literature on school choice assumes that families can submit a preference list over all the schools they want to be assigned to. However, in many real-life instances families are only allowed to submit a list containing a limited number of schools. Subjects incentives are drastically...
Persistent link: https://www.econbiz.de/10010547189
In this note we study the National Resident Matching Program (NRMP) algorithm in the US market for physicians. We …. Roth and Peranson, 1999). First, we show that the new NRMP algorithm may not find an existing stable matching, even when …
Persistent link: https://www.econbiz.de/10010547404