Stable Matchings in the Marriage Model with Indifferences

作     者：Noelia Juarez Jorge Oviedo 

作者机构：Instituto de Matemática Aplicada San LuisIMASLUniversidad Nacional de San Luis and CONICETEjército de los Andes 950D5700HHW San LuisArgentina 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2021年第9卷第3期

页      面：593-617页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 0701[理学-数学] 

基　　金：the Universidad Nacional de San Luis(No.PROICO 319502) from the Consejo Nacional de Investigaciones Científicas y Técnicas(CONICET)(No.PIP 112-201501-00505) from Agencia Nacional de Promoción Cientifíca y Tecnológica(No.PICT 2017-2355). 

主　　题：Stability Indifferences Lattice structure 

摘      要：For the marriage model with indifferences,we define an equivalence relation over the stable matching set.We identify a sufficient condition,the closing property,under which we can extend results of the classical model(without indifferences)to the equivalence classes of the stable matching set.This condition allows us to extend the lattice structure over classes of equivalences and the rural hospital theorem.