The lattice of worker-quasi-stable matchings

• 成果类型: Article
• 署名作者: Bonifacio, Agustin G.; Guinazu, Nadia; Juarez, Noelia; Neme, Pablo; Oviedo, Jorge
• 署名单位: Universidad Nacional de San Luis; Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET)
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2022.06.004
• 发表日期: 2022
• 页码: 188-200
• 关键词: Matching; Worker -quasi -stability; lattice; Tarski operator; Re -equilibration process

摘要

In a many-to-one matching model, we study the set of worker-quasi-stable matchings when firms' choice functions satisfy substitutability. Worker-quasi-stability is a relaxation of stability that allows blocking pairs involving a firm and an unemployed worker. We show that this set has a lattice structure and define a Tarski operator on this lattice that models a re-equilibration process and has the set of stable matchings as its fixed points. (c) 2022 Elsevier Inc. All rights reserved.