Matching markets with farsighted couples
Abstract
We adopt the notion of the farsighted stable set to determine which matchings are stable when agents are farsighted in matching markets with couples. We show that a singleton matching is a farsighted stable set if and only if the matching is stable. Thus, matchings that are stable with myopic agents remain stable when agents become farsighted. Examples of farsighted stable sets containing multiple non-stable matchings are provided for markets with and without stable matchings. For couples markets where the farsighted stable set does not exist, we propose the DEM farsighted stable set to predict the matchings that are stable when agents are farsighted.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2023
- DOI:
- 10.48550/arXiv.2304.12276
- arXiv:
- arXiv:2304.12276
- Bibcode:
- 2023arXiv230412276A
- Keywords:
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- Economics - Theoretical Economics;
- Computer Science - Computer Science and Game Theory;
- 91B68