Nonexistence of stable threesome matchings
type: Item
instance of: scholarly article
title: Nonexistence of stable threesome matchings
zbMATH Open document ID: 0651.92025
DOI: 10.1016/0165-4896(88)90053-4
published in: Mathematical Social Sciences
publication date: 1988-01-01T00:00:00Z
review text: A counterexample shows stable matchings need not exist in societies where threesomes are to form. The stability theorem breaks down, in fact, for K-some formations for all \(K\geq 3\), even when preferences are restricted to be separable.
Mathematics Subject Classification ID: 91D99
zbMATH DE Number: 4062903
zbMATH Keywords: counterexample
zbMATH Keywords: stable matchings
zbMATH Keywords: threesomes
zbMATH Keywords: stability theorem
zbMATH Keywords: K-some formations
author: Ahmet U. Alkan
MaRDI profile type: Publication
full work available at URL: 0165-4896(88)90053-4
OpenAlex ID: W2028052033
cites work: Q3066116
cites work: The Strategy Structure of Two-Sided Matching Markets
cites work: College Admissions and the Stability of Marriage
cites work: The Economics of Matching: Stability and Incentives
description: scientific article; zbMATH DE number 4062903