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Lattice structure of the random stable set in many-to-many matching market

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  • Noelia Juarez
  • Pablo A. Neme
  • Jorge Oviedo

Abstract

For a many-to-many matching market, we study the lattice structure of the set of random stable matchings. We define a partial order on the random stable set and present two intuitive binary operations to compute the least upper bound and the greatest lower bound for each side of the matching market. Then, we prove that with these binary operations the set of random stable matchings forms two dual lattices.

Suggested Citation

  • Noelia Juarez & Pablo A. Neme & Jorge Oviedo, 2020. "Lattice structure of the random stable set in many-to-many matching market," Papers 2002.08156, arXiv.org, revised Jun 2020.
  • Handle: RePEc:arx:papers:2002.08156
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    References listed on IDEAS

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    2. Haris Aziz & Florian Brandl, 2020. "The Vigilant Eating Rule: A General Approach for Probabilistic Economic Design with Constraints," Papers 2008.08991, arXiv.org, revised Jul 2021.

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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D49 - Microeconomics - - Market Structure, Pricing, and Design - - - Other

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