Social organizations and matching theory
type: Item
instance of: scholarly article
title: Social organizations and matching theory
zbMATH Open document ID: 0639.92017
DOI: 10.1007/BF00137224
author: F. Masarani
author: S. Sadik Gokturk
published in: Theory and Decision
publication date: 1988-01-01T00:00:00Z
review text: The paper generalizes the Gale-Shapley matching theory [see \textit{D. Gale} and \textit{L. S. Shapley}, Amer. Math. Monthly 69, 9-15 (1962; Zbl 0109.244)] to the formation of social units consisting of more than two individuals and each individual having more than one role. The authors define ``freedom'' through matching mechanism and show how it could conflict with social preferences (SP) and social structure (SS). In case that such a conflict doesn't exist, stability is defined and in turn this is shown to be in conflict with SP and SS. This conflict may be resolved due to restricting ``freedom'' with the aid of ``stabilizing'' regulations. Another conflict is shown between SP/SS and ``justice'' in case of stability. Thus, in this model, SP/SS are shown to decide whether the concepts ``freedom'', ``stability'' and ``justice'' are achievable or not. The rather complicated terminology of the paper is based on set- theoretical topics and graphs using some algebraic considerations on preferences.
Mathematics Subject Classification ID: 91D99
Mathematics Subject Classification ID: 91B08
zbMATH DE Number: 4043673
zbMATH Keywords: Gale-Shapley matching theory
zbMATH Keywords: formation of social units
zbMATH Keywords: freedom
zbMATH Keywords: social preferences
zbMATH Keywords: social structure
zbMATH Keywords: stability
zbMATH Keywords: justice
MaRDI profile type: Publication
cites work: College Admissions and the Stability of Marriage
cites work: A Pareto optimal characterization of Rawls' social choice mechanism
cites work: Conflict and Coincidence of Interest in Job Matching: Some New Results and Open Questions
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description: scientific article; zbMATH DE number 4043673