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The lattice of worker-quasi-stable matchings

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  • Bonifacio, Agustín G.
  • Guiñazú, Nadia
  • Juarez, Noelia
  • Neme, Pablo
  • Oviedo, Jorge

Abstract

In a many-to-one matching model, we study the set of worker-quasi-stable matchings when firms' choice functions 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

  • 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.
    • Handle: RePEc:eee:gamebe:v:135:y:2022:i:c:p:188-200
    DOI: 10.1016/j.geb.2022.06.004
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    References listed on IDEAS

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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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    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-equilibration process;
    All these keywords.

    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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