Stability in Large Matching Markets with Complementarities
Itai Ashlagi (),
Mark Braverman () and
Avinatan Hassidim ()
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Itai Ashlagi: Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02142
Mark Braverman: Computer Science, Princeton University, Princeton, New Jersey 08544
Avinatan Hassidim: Computer Science, Bar-Ilan University, Ramat Gan, 52900, Israel
Operations Research, 2014, vol. 62, issue 4, 713-732
Abstract:
Labor markets can often be viewed as many-to-one matching markets. It is well known that if complementarities are present in such markets, a stable matching may not exist. We study large random matching markets with couples. We introduce a new matching algorithm and show that if the number of couples grows slower than the size of the market, a stable matching will be found with high probability. If however, the number of couples grows at a linear rate, with constant probability (not depending on the market size), no stable matching exists. Our results explain data from the market for psychology interns.
Keywords: stability; matching; couples; deferred acceptance; market design (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (31)
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:62:y:2014:i:4:p:713-732
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