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Many-to-one Matching: Externalities and Stability

Alfredo Salgado

No 2020-03, Working Papers from Banco de México

Abstract: In this paper, we establish sufficient conditions on the domain of preferences and agents' behavior in order to characterize the existence of stable assignments in many-to-one matching problems with externalities. The set of stable matchings depends on what agents believe other agents will do if they deviate. Such sets of reactions are called estimation functions or simply estimations. We show that, unless some restrictions would be imposed on agents' preferences, there is no constraint on agents' behavior that assures the existence of stable matchings. In addition, we introduce a condition on preferences called bottom q-substitutability that guarantees the existence of at least one stable matching when the set of estimations includes all possible matches. Finally, we analyze a notion of the core and its relation with the set of stable assignments.

Keywords: Two-sided matching: Externalities; Stability; Estimation functions; Pessimistic agents; Core. (search for similar items in EconPapers)
JEL-codes: C71 C78 D62 (search for similar items in EconPapers)
Date: 2020-03
New Economics Papers: this item is included in nep-des, nep-mic and nep-ore
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