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Review of Economic Studies Vol. 91 No. 6 2024

Stability in Large Markets

Ravi Jagadeesan1; Karolina Vocke2

1 Stanford University · 2 University of Innsbruck

Abstract

In matching models, pairwise-stable outcomes do not generally exist without substantial restrictions on both preferences and the topology of the network of contracts. We address the foundations of matching markets by developing a matching model with a continuum of agents that allows for arbitrary preferences and network structures. We show that pairwise-stable outcomes are guaranteed to exist. When agents can interact with multiple other counterparties, pairwise stability is too weak of a solution concept, and we argue that a refinement of it called tree stability is the most appropriate solution concept in this setting. Our main results show that tree-stable outcomes exist for arbitrary preferences and network topologies.

DOI
10.1093/restud/rdae008
Volume
91
Issue
6
Pages
3532-3568
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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