Substitutes and stability for many-to-many matching with contracts

Keisuke Bando, Toshiyuki Hirai and Jun Zhang

Games and Economic Behavior, 2021, vol. 129, issue C, 503-512

Abstract: We examine the roles of (slightly weakened versions of) the observable substitutability condition and the observable substitutability across doctors condition of Hatfield et al. (2021) in many-to-many matching with contracts. We modify the standard cumulative offer algorithm to find stable outcomes and prove new results on the existence of stable outcomes. It is remarkable that size monotonicity at the offer-proposing side is essential for the existence result under observable substitutability across doctors.

Keywords: Many-to-many matching; Stability; Observable substitutability; Size monotonicity; Cumulative offer algorithm (search for similar items in EconPapers)
JEL-codes: C62 C78 D78 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:129:y:2021:i:c:p:503-512

DOI: 10.1016/j.geb.2021.07.002

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