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Instability of matchings in decentralized markets with various preference structures
Mälardalen University, Department of Mathematics and Physics.ORCID iD: 0000-0002-7164-0924
2008 (English)In: International Journal of Game Theory, ISSN 0020-7276, E-ISSN 1432-1270, Vol. 36, no 3/4, p. 409-420Article in journal (Refereed) Published
Abstract [en]

In any two-sided matching market, a stable matching can be found by a central agency using the deferred acceptance procedure of Gale and Shapley. But if the market is decentralized and information is incomplete then stability of the ensuing matching is not to be expected. Despite the prevalence of such matching situations, and the importance of stability, little theory exists concerning instability. We discuss various measures of instability and analyze how they interact with the structure of the underlying preferences. Our main result is that even the outcome of decentralized matching with incomplete information can be expected to be "almost stable" under reasonable assumptions.

Place, publisher, year, edition, pages
2008. Vol. 36, no 3/4, p. 409-420
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-2857DOI: 10.1007/s00182-007-0081-6ISI: 000253625400007Scopus ID: 2-s2.0-40149104701OAI: oai:DiVA.org:mdh-2857DiVA, id: diva2:115520
Available from: 2008-01-04 Created: 2008-01-04 Last updated: 2017-12-14Bibliographically approved

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Eriksson, Kimmo

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