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The lattice of envy-free matchings

Qingyun Wu and Alvin Roth

Games and Economic Behavior, 2018, vol. 109, issue C, 201-211

Abstract: In a many-to-one matching model, we show that the set of envy-free matchings is a lattice. A Tarski operator on this lattice, which can be interpreted as modeling vacancy chains, has the set of stable matchings as its fixed points.

Keywords: Matching; Envy-free; Lattice; Vacancy chain (search for similar items in EconPapers)
JEL-codes: C78 D47 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (22)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:109:y:2018:i:c:p:201-211

DOI: 10.1016/j.geb.2017.12.016

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