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Counting Steps for Re-Stabilization in a Labor Matching Market

Author

Listed:
  • Agustín Bonifacio

    (UNSL-CONICET)

  • Nadia Guiñazú

    (UNSL-CONICET)

  • Noelia Juarez

    (UNSL-CONICET)

  • Pablo Neme

    (UNSL-CONICET)

  • Jorge Oviedo

    (UNSL-CONICET)

Abstract

We study a one-to-one labor matching market. If a worker considers resigning from her current job to obtain a better one, how long does it take for this worker to actually get it? We present an algorithm that models this situation as a re-stabilization process involving a vacancy chain. Each step of the algorithm is a link of such a chain. We show that the length of this vacancy chain, which can be interpreted as the time the worker has to wait for her new job, is intimately connected with the lattice structure of the set of stable matchings of the market. Namely, this length can be computed by considering the cardinalities of cycles in preferences derived from the initial and final stable matchings involved.

Suggested Citation

  • Agustín Bonifacio & Nadia Guiñazú & Noelia Juarez & Pablo Neme & Jorge Oviedo, 2024. "Counting Steps for Re-Stabilization in a Labor Matching Market," Working Papers 328, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:328
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    File URL: https://rednie.eco.unc.edu.ar/files/DT/328.pdf
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    References listed on IDEAS

    as
    1. Cantala, David, 2004. "Restabilizing matching markets at senior level," Games and Economic Behavior, Elsevier, vol. 48(1), pages 1-17, July.
    2. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Labor markets; stable matchings; re-stabilizing process; cycles in preferences.;
    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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