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Nash Implementation in a many-to-one Matching Market

Author

Listed:
  • Noelia Juarez

    (UNSL/CONICET)

  • Paola B. Manasero

    (UNSL/CONICET)

  • Oviedo Jorge

    (UNSL/CONICET)

Abstract

In a many-to-one matching market with substitutable preferences, we analyze the game induced by a stable rule. When both sides of the market play strategically, we show that any stable rule implements, in Nash equilibrium, the individually rational matchings. Also, when only workers play strategically and firms’ preferences satisfy the law of aggregated demand, we show that any stable rule implements, in Nash equilibrium, the stable matchings

Suggested Citation

  • Noelia Juarez & Paola B. Manasero & Oviedo Jorge, 2023. "Nash Implementation in a many-to-one Matching Market," Working Papers 255, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:255
    as

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    File URL: https://rednie.eco.unc.edu.ar/files/DT/255.pdf
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Stable matchings; Nash equilibrium; substitutable preferences; matching game;
    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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