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Concave many-to-one matching

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  • Chao Huang

Abstract

We propose a notion of concavity in two-sided many-to-one matching, which is an analogue to the balancedness condition in cooperative games. A stable matching exists when the market is concave. We provide a class of concave markets. In the proof of the existence theorem, we use Scarf's algorithm to find a stable schedule matching, which is of independent interest.

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  • Chao Huang, 2023. "Concave many-to-one matching," Papers 2309.04181, arXiv.org.
    • Handle: RePEc:arx:papers:2309.04181
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    References listed on IDEAS

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