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Multilateral matching

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  • Hatfield, John William
  • Kominers, Scott Duke

Abstract

We introduce a matching model in which agents engage in joint ventures via multilateral contracts. This approach allows us to consider production complementarities previously outside the scope of matching theory. We show analogues of the first and second welfare theorems and, when agents' utilities are concave in venture participation, show that competitive equilibria exist, correspond to stable outcomes, and yield core outcomes. Competitive equilibria exist in our setting even when externalities are present.

Suggested Citation

  • Hatfield, John William & Kominers, Scott Duke, 2015. "Multilateral matching," Journal of Economic Theory, Elsevier, vol. 156(C), pages 175-206.
    • Handle: RePEc:eee:jetheo:v:156:y:2015:i:c:p:175-206
    DOI: 10.1016/j.jet.2014.04.009
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Itkonen, Juha, 2017. "Efficiency and dependency in a network of linked permit markets," Research Discussion Papers 20/2017, Bank of Finland.
    2. Bando, Keisuke & Hirai, Toshiyuki, 2021. "Stability and venture structures in multilateral matching," Journal of Economic Theory, Elsevier, vol. 196(C).
    3. Chao Huang, 2023. "Multilateral matching with scale economies," Papers 2310.19479, arXiv.org.
    4. Blume, Lawrence & Easley, David & Kleinberg, Jon & Kleinberg, Robert & Tardos, Éva, 2015. "Introduction to computer science and economic theory," Journal of Economic Theory, Elsevier, vol. 156(C), pages 1-13.
    5. Tamás Fleiner & Ravi Jagadeesan & Zsuzsanna Jankó & Alexander Teytelboym, 2019. "Trading Networks With Frictions," Econometrica, Econometric Society, vol. 87(5), pages 1633-1661, September.
    6. Manjunath, Vikram, 2016. "Fractional matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 321-336.
    7. repec:zbw:bofrdp:2017_020 is not listed on IDEAS
    8. , M. & , Glen & White, Alexander, 2013. "Walrasian equilibrium in large, quasi-linear markets," Theoretical Economics, Econometric Society, vol. 8(2), May.
    9. Tam'as Fleiner & Zsuzsanna Jank'o & Akihisa Tamura & Alexander Teytelboym, 2015. "Trading Networks with Bilateral Contracts," Papers 1510.01210, arXiv.org, revised May 2018.

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    More about this item

    Keywords

    Matching; Networks; Joint ventures; Stability; Competitive equilibrium; Core;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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