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arXiv · 2212.02613

Matching with Incomplete Preferences

Aditya Kuvalekar
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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. 2023-11-16. Matching with Incomplete Preferences. https://arxiv.org/abs/2212.02613

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