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<p>This paper presents weakened notions of corewise stability and setwise stability for matching markets where agents have path-independent choice functions. We introduce the concepts of worker-quasi-core, firm-quasi-core, and firm-quasi-setwise stability. We also examine their relationship to established notions in the literature, such as worker-quasi and firm-quasi stability in both many-to-one and many-to-many markets.</p>

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Quasi-stability notions in two-sided matching models

  • 期刊论文

  • 发表日期：

    2025年12月11日

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  • Nadia Guiñazú,
  • Noelia Juarez,
  • Pablo Neme,
  • Jorge Oviedo

摘要

This paper presents weakened notions of corewise stability and setwise stability for matching markets where agents have path-independent choice functions. We introduce the concepts of worker-quasi-core, firm-quasi-core, and firm-quasi-setwise stability. We also examine their relationship to established notions in the literature, such as worker-quasi and firm-quasi stability in both many-to-one and many-to-many markets.