Many-to-many stable matching in large economies
Theoretical Economics
2026-05-01 v2
Abstract
We study stability notions for networked many-to-many matching markets with individually insignificant agents in distributional form. Outcomes are formulated as joint distributions over characteristics of agents and contract choices. Characteristics can lie in an arbitrary Polish space. We provide a mechanical method for transferring existence results for finite matching models to large matching models for many stability notions. In particular, we show that tree-stable and pairwise-stable outcomes exist.
Cite
@article{arxiv.2604.26902,
title = {Many-to-many stable matching in large economies},
author = {Michael Greinecker and Karolina Vocke},
journal= {arXiv preprint arXiv:2604.26902},
year = {2026}
}