A Measure to compare Matchings in Marriage Markets

Florian Biermann

Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem

Abstract: In matching markets the number of blocking pairs is often used as a criterion to compare matchings. We argue that this criterion is lacking an economic interpretation: In many circumstances it will neither reflect the expected extent of partner changes, nor will it capture the satisfaction of the players with the matching. As an alternative, we set up two principles which single out a particularly "disruptive" subcollection of blocking pairs. We propose to take the cardinality of that subset as a measure to compare matchings. This cardinality has an economic interpretation: The subset is a justified objection against the given matching according to a bargaining set characterization of the set of stable matchings. We prove multiple properties relevant for a workable measure of comparison. Keywords: Stable marriage problem, Matching, Blocking pair, Instability, Matching comparison, Decentralized market, Bargaining set

Pages: 30 pages
Date: 2011-06
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://ratio.huji.ac.il/sites/default/files/publications/dp575.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://ratio.huji.ac.il/sites/default/files/publications/dp575.pdf [302 Moved Temporarily]--> https://ratio.huji.ac.il/sites/default/files/publications/dp575.pdf)

Related works:
Working Paper: A Measure to Compare Matchings in Marriage Markets (2011)
Working Paper: A Measure to Compare Matchings in Marriage Markets (2011)
Working Paper: A Measure to compare Matchings in Marriage Markets (2011)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:huj:dispap:dp575

Access Statistics for this paper

More papers in Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem Contact information at EDIRC.
Bibliographic data for series maintained by Michael Simkin ().