Stability and substitutability in multi-period matching markets

Keisuke Bando and Ryo Kawasaki

Games and Economic Behavior, 2024, vol. 147, issue C, 533-553

Abstract: We analyze a multi-period matching market where matching between agents is decided for each time period. To analyze this situation, we embed the situation into the framework of many-to-many matching with contracts where the contract includes the time period at which the matching occurs. While a general stability concept is already defined for the matching with contracts framework, in a multi-period matching model, a stable outcome may not exist when contracts exhibit complementarities across time periods. Thus, we define a weaker stability concept called temporal stability by taking into account the dynamic nature of the model. We provide sufficient conditions for the existence of a temporally stable outcome, including a corresponding substitutability condition, ordered substitutability, for the multi-period matching model.

Keywords: Multi-period matching; Matching with contracts; Temporal stability; Ordered substitutability (search for similar items in EconPapers)
JEL-codes: C62 C78 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:147:y:2024:i:c:p:533-553

DOI: 10.1016/j.geb.2024.08.013

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