Farsighted objections and maximality in one-to-one matching problems

Mert Kimya

Journal of Economic Theory, 2022, vol. 204, issue C

Abstract: We characterize the set of stable matchings when individuals are farsighted and when they choose their objections optimally along a farsighted objection path. We use a solution concept called maximal farsighted set (MFS), which is an adaptation of the concepts developed in Dutta and Vohra (2017) and Dutta and Vartiainen (2020) to one-to-one matching problems. MFS always exists, but it need not be unique. There is a unique largest MFS that contains all other, which is equal to the largest consistent set of Chwe (1994). This implies that the largest consistent set embodies the idea of maximality in one-to-one matching problems.

Keywords: Farsighted stability; Matching problems; Stable set (search for similar items in EconPapers)
JEL-codes: C70 C71 C78 D70 D71 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:204:y:2022:i:c:s0022053122000898

DOI: 10.1016/j.jet.2022.105499

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