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Quasi-stability notions in two-sided matching models

Author

Listed:
  • 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.

Suggested Citation

  • 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

    as
    1. Agustín G. Bonifacio & Noelia Juarez & Pablo Neme & Jorge Oviedo, 2024. "Core and stability notions in many-to-one matching markets with indifferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(1), pages 143-157, March.
    2. Cantala, David, 2004. "Restabilizing matching markets at senior level," Games and Economic Behavior, Elsevier, vol. 48(1), pages 1-17, July.
    3. Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
    4. Martínez, Ruth & Massó, Jordi & Neme, Alejandro & Oviedo, Jorge, 2012. "On the invariance of the set of Core matchings with respect to preference profiles," Games and Economic Behavior, Elsevier, vol. 74(2), pages 588-600.
    5. 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.
    6. Wu, Qingyun & Roth, Alvin E., 2018. "The lattice of envy-free matchings," Games and Economic Behavior, Elsevier, vol. 109(C), pages 201-211.
    7. Agustin G. Bonifacio & Nadia Guiñazú & Noelia Juarez & Pablo Neme & Jorge Oviedo, 2024. "The lattice of envy-free many-to-many matchings with contracts," Theory and Decision, Springer, vol. 96(1), pages 113-134, February.
    8. Agustín Bonifacio & Noelia Juarez & Paola Manasero, 2024. "Lattice Operations for the Stable Set in Substitutable Matching Markets via re-equilibration Dynamics," Working Papers 333, Red Nacional de Investigadores en Economía (RedNIE).
    9. Bonifacio, Agustín G. & Guiñazú, Nadia & Juarez, Noelia & Neme, Pablo & Oviedo, Jorge, 2022. "The lattice of worker-quasi-stable matchings," Games and Economic Behavior, Elsevier, vol. 135(C), pages 188-200.
    10. , & ,, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
    11. Charles Blair, 1988. "The Lattice Structure of the Set of Stable Matchings with Multiple Partners," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 619-628, November.
    12. 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.
    13. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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