Stability and the immediate acceptance rule when school priorities are weak

Détails

ID Serval
serval:BIB_4B9941263184
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Stability and the immediate acceptance rule when school priorities are weak
Périodique
International Journal of Game Theory
Auteur(s)
Cho W. J., Dogan B.
ISSN
0020-7276
Statut éditorial
Publié
Date de publication
11/2017
Peer-reviewed
Oui
Volume
46
Numéro
4
Pages
991-1014
Langue
anglais
Résumé
In a model of school choice, we allow school priorities to be weak and study the preference revelation game induced by the immediate acceptance (IA) rule (also known as the Boston rule), or the IA game. When school priorities can be weak and matches probabilistic, three stability notions—ex post stability, ex ante stability, and strong ex ante stability—and two ordinal equilibrium notions—sd equilibrium and strong sd equilibrium—become available (“sd” stands for stochastic dominance). We show that for no combination of stability and equilibrium notions does the set of stable matches coincide with the set of equilibrium matches of the IA game. This stands in contrast with the existing result that the two sets are equal when priorities are strict. We also show that in the presence of weak priorities, the transition from the IA rule to the deferred acceptance rule may, in fact, harm some students.
Web of science
Création de la notice
03/01/2017 23:26
Dernière modification de la notice
20/08/2019 14:59
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