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Quasi-stability notions in two-sided matching models

Author

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  • Nadia Gui~naz'u
  • Noelia Juarez
  • Pablo Neme
  • Jorge Oviedo

Abstract

This paper presents weakened notions of corewise stability and setwise stability for matching markets where agents have substitutable choice functions. We introduce the concepts of worker-quasi-core, firm-quasi-core, and worker-quasisetwise 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.

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  • Nadia Gui~naz'u & Noelia Juarez & Pablo Neme & Jorge Oviedo, 2024. "Quasi-stability notions in two-sided matching models," Papers 2411.12533, arXiv.org.
    • Handle: RePEc:arx:papers:2411.12533
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    References listed on IDEAS

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    1. Ahmet Alkan, 2002. "A class of multipartner matching markets with a strong lattice structure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 737-746.
    2. , & ,, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
    3. Ruth Martínez & Jordi Massó & Alejandro Neme & Jorge Oviedo, 2008. "On the invariance of the set of stable matchings with respect to substitutable preference profiles," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 497-518, March.
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