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Cycles to compute the full set of many-to-many stable matchings

Author

Listed:
  • Bonifacio, Agustín G.
  • Juarez, Noelia
  • Neme, Pablo
  • Oviedo, Jorge

Abstract

In a many-to-many matching model in which agents’ preferences satisfy substitutability and the law of aggregate demand, we present an algorithm to compute the full set of stable matchings. This algorithm relies on the idea of “cycles in preferences” and generalizes the algorithm presented in Roth and Sotomayor (1990) for the one-to-one model.

Suggested Citation

  • Bonifacio, Agustín G. & Juarez, Noelia & Neme, Pablo & Oviedo, Jorge, 2022. "Cycles to compute the full set of many-to-many stable matchings," Mathematical Social Sciences, Elsevier, vol. 117(C), pages 20-29.
    • Handle: RePEc:eee:matsoc:v:117:y:2022:i:c:p:20-29
    DOI: 10.1016/j.mathsocsci.2022.03.001
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    Cited by:

    1. Gutin, Gregory Z. & Neary, Philip R. & Yeo, Anders, 2024. "Finding all stable matchings with assignment constraints," Games and Economic Behavior, Elsevier, vol. 148(C), pages 244-263.
    2. Gregory Gutin & Philip R. Neary & Anders Yeo, 2022. "Finding all stable matchings with assignment constraints," Papers 2204.03989, arXiv.org, revised Jun 2024.
    3. 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.

    More about this item

    Keywords

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    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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