Unilateral substitutability is necessary for doctor-optimal stability

Yusuke Kasuya

Economics Letters, 2021, vol. 207, issue C

Abstract: In the standard matching with contracts setting, the unilateral substitutability condition (Hatfield and Kojima, 2010) is known to be sufficient for the guaranteed existence of a doctor-optimal stable allocation. We show that the same condition is indeed necessary under observable substitutability across doctors (Hatfield, Kominers and Westkamp, 2020) while also necessary in the maximal domain sense in general for its guaranteed existence.

Keywords: Matching with contracts; Doctor-optimal stability; Unilateral substitutability; Observable substitutability across doctors (search for similar items in EconPapers)
JEL-codes: C78 D44 D47 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:207:y:2021:i:c:s0165176521003244

DOI: 10.1016/j.econlet.2021.110047

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