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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
Using the assignment of students to schools as our leading example, we study many-to-one two-sided matching markets without transfers. Students are endowed with cardinal preferences and schools with ordinal ones, while preferences of both sides need not be strict. Using the idea of a competitive...
Persistent link: https://www.econbiz.de/10010851345
In this note we show that no solution to coalition formation games can satisfy a set of axioms that we propose as reasonable. Our result points out that "solutions" to the coalition formation cannot be interpreted as predictions of what would be ìresting pointsî for a game in the way stable...
Persistent link: https://www.econbiz.de/10010851378
We show that the full version of the so-called "rural hospital theorem" generalizes to many-to-many matching problems where agents on both sides of the problem have substitutable and weakly separable preferences. We reinforce our result by showing that when agents' preferences satisfy...
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
, 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
fixed number of schools to be acceptable. We focus on the stability and efficiency of the Nash equilibrium outcomes. Our … main results identify rather stringent necessary and sufficient conditions on the priorities to guarantee stability or …
Persistent link: https://www.econbiz.de/10010547129
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
. Constraining choices increases segregation and affects the stability and efficiency of the final allocation. Remarkably, the …
Persistent link: https://www.econbiz.de/10010547189
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