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We correct an omission in the definition of the 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/10005572183
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/10005572229
We give a simple and concise proof that so-called generalized median stable matchings are well-defined stable matchings for college admissions problems. Furthermore, we discuss the fairness properties of median stable matchings and conclude with two illustrative examples of college admissions...
Persistent link: https://www.econbiz.de/10005572262
stability for decentralized singles markets. Furthermore, we show that when stable matchings exist, but preferences are not …
Persistent link: https://www.econbiz.de/10005582635
incompatible concepts of stability (represented by the political economist Adam Smith) and fairness (represented by the political …
Persistent link: https://www.econbiz.de/10005582679
We motivate procedural fairness for matching mechanisms and study two procedurally fair and stable mechanisms: employment by lotto (Aldershof et al., 1999) and the random order mechanism (Roth and Vande Vate, 1990, Ma, 1996). For both mechanisms we give various examples of probability...
Persistent link: https://www.econbiz.de/10005582714
set of different objets instead of only one indivisible object. We propose definitions of pairwise stability and group … stability that are adapted to our framework. Existence of both pairwise and group stable outcomes is proved. We study the …
Persistent link: https://www.econbiz.de/10005823865
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/10005823987
result persists even when a weaker stability notion is used that excludes myopic blocking. Moreover, we show that even if …
Persistent link: https://www.econbiz.de/10005168440
We study employment by lotto (Aldershof et al., 1999), a matching algorithm for the so-called stable marriage problem. We complement Aldershof et al.'s analysis in two ways. First, we give an alternative and intuitive description of employment by lotto. Second, we disprove Aldershof et al.'s...
Persistent link: https://www.econbiz.de/10005247860