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The lattice of worker-quasi-stable matchings

Author

Listed:
  • Agustín Bonifacio

    (Universidad Nacional de San Luis / CONICET)

  • Nadia Guiñazú

    (Universidad Nacional de San Luis / CONICET)

  • Noelia Juarez

    (Universidad Nacional de San Luis / CONICET)

  • Pablo Neme

    (Universidad Nacional de San Luis / CONICET)

  • Jorge Oviedo

    (Universidad Nacional de San Luis / CONICET)

Abstract

In a many-to-one matching model, we study the set of worker-quasi-stable matchings when firms' preferences satisfy substitutability. Worker-quasi-stability is a relaxation of stability that allows blocking pairs involving a firm and an unemployed worker. We show that this set has a lattice structure and define a Tarski operator on this lattice that models a re-equilibration process and has the set of stable matchings as its fixed points.

Suggested Citation

  • Agustín Bonifacio & Nadia Guiñazú & Noelia Juarez & Pablo Neme & Jorge Oviedo, 2021. "The lattice of worker-quasi-stable matchings," Working Papers 64, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:64
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    References listed on IDEAS

    as
    1. Tamás Fleiner, 2003. "A Fixed-Point Approach to Stable Matchings and Some Applications," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 103-126, February.
    2. Wu, Qingyun & Roth, Alvin E., 2018. "The lattice of envy-free matchings," Games and Economic Behavior, Elsevier, vol. 109(C), pages 201-211.
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    7. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
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    11. Adachi, Hiroyuki, 2000. "On a characterization of stable matchings," Economics Letters, Elsevier, vol. 68(1), pages 43-49, July.
    12. Martinez, Ruth & Masso, Jordi & Neme, Alejandro & Oviedo, Jorge, 2000. "Single Agents and the Set of Many-to-One Stable Matchings," Journal of Economic Theory, Elsevier, vol. 91(1), pages 91-105, March.
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    Matching worker-quasi-stability lattice Tarski operator re-stabilization process;

    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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