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Stable Matching with Double Infinity of Workers and Firms

Author

Listed:
  • Fuentes Matías

    (UNSAM, Centro de Investigación en Economía Teórica y Matemática Aplicada EEyN, Buenos Aires, Argentina)

  • Tohmé Fernando

    (Departamento de Economía and Instituto de MatemáticaBahía Blanca UNS - Conicet, Bahía Blanca, Argentina)

Abstract

In this paper we analyze the existence of stable matchings in a two-sided large market in which workers are assigned to firms. The market has a continuum of workers while the set of firms is countably infinite. We show that, under certain reasonable assumptions on the preference correspondences, stable matchings not only exist but are also Pareto optimal.

Suggested Citation

  • Fuentes Matías & Tohmé Fernando, 2019. "Stable Matching with Double Infinity of Workers and Firms," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(2), pages 1-8, June.
    • Handle: RePEc:bpj:bejtec:v:19:y:2019:i:2:p:8:n:10
    DOI: 10.1515/bejte-2018-0015
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    References listed on IDEAS

    as
    1. Echenique, Federico & Pereyra, Juan Sebastián, 2016. "Strategic complementarities and unraveling in matching markets," Theoretical Economics, Econometric Society, vol. 11(1), January.
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    3. Kaneko, Mamoru & Wooders, Myrna Holtz, 1986. "The core of a game with a continuum of players and finite coalitions: The model and some results," Mathematical Social Sciences, Elsevier, vol. 12(2), pages 105-137, October.
    4. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    5. Charles Blair, 1988. "The Lattice Structure of the Set of Stable Matchings with Multiple Partners," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 619-628, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    double infinity; matchings; efficiency; asymptotic stability; topological Duality;
    All these keywords.

    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

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