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Matching with Incomplete Preferences

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  • Aditya Kuvalekar

Abstract

I study a two-sided marriage market in which agents have incomplete preferences -- i.e., they find some alternatives incomparable. The strong (weak) core consists of matchings wherein no coalition wants to form a new match between themselves, leaving some (all) agents better off without harming anyone. The strong core may be empty, while the weak core can be too large. I propose the concept of the "compromise core" -- a nonempty set that sits between the weak and the strong cores. Similarly, I define the men-(women-) optimal core and illustrate its benefit in an application to India's engineering college admissions system.

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  • Aditya Kuvalekar, 2022. "Matching with Incomplete Preferences," Papers 2212.02613, arXiv.org, revised Nov 2023.
    • Handle: RePEc:arx:papers:2212.02613
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    References listed on IDEAS

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    Cited by:

    1. Minoru Kitahara & Yasunori Okumura, 2023. "School Choice with Multiple Priorities," Papers 2308.04780, arXiv.org, revised Oct 2024.

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