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Many-to-many stable matching in large economies

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Listed:
  • Michael Greinecker
  • Karolina Vocke

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.

Suggested Citation

  • Michael Greinecker & Karolina Vocke, 2026. "Many-to-many stable matching in large economies," Papers 2604.26902, arXiv.org, revised Apr 2026.
    • Handle: RePEc:arx:papers:2604.26902
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    References listed on IDEAS

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