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Multilateral matching with scale economies

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  • Chao Huang

Abstract

This paper studies multilateral matching in which any set of agents can negotiate contracts. We assume scale economies in the sense that an agent substitutes some contracts with some new contracts only if the newly signed contracts involve a weakly larger set of partners. We show that a weakly setwise stable outcome exists in a market with scale economies and a setwise stable outcome exists under a stronger scale economies condition. Our conditions apply to environments in which more partners bring advantages, and allow agents to bargain over contracts signed by them.

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  • Chao Huang, 2023. "Multilateral matching with scale economies," Papers 2310.19479, arXiv.org.
    • Handle: RePEc:arx:papers:2310.19479
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    References listed on IDEAS

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    1. Klaus, Bettina & Walzl, Markus, 2009. "Stable many-to-many matchings with contracts," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 422-434, July.
    2. John William Hatfield & Scott Duke Kominers, 2012. "Matching in Networks with Bilateral Contracts," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 176-208, February.
    3. Ning Sun & Zaifu Yang, 2006. "Equilibria and Indivisibilities: Gross Substitutes and Complements," Econometrica, Econometric Society, vol. 74(5), pages 1385-1402, September.
    4. Bando, Keisuke & Hirai, Toshiyuki, 2021. "Stability and venture structures in multilateral matching," Journal of Economic Theory, Elsevier, vol. 196(C).
    5. Hatfield, John William & Kominers, Scott Duke, 2015. "Multilateral matching," Journal of Economic Theory, Elsevier, vol. 156(C), pages 175-206.
    6. Danilov, Vladimir I. & Karzanov, Alexander V., 2023. "Stable and meta-stable contract networks," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    7. Marzena Rostek & Nathan Yoder, 2020. "Matching With Complementary Contracts," Econometrica, Econometric Society, vol. 88(5), pages 1793-1827, September.
    8. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    9. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    10. Tamás Fleiner & Ravi Jagadeesan & Zsuzsanna Jankó & Alexander Teytelboym, 2019. "Trading Networks With Frictions," Econometrica, Econometric Society, vol. 87(5), pages 1633-1661, September.
    11. John William Hatfield & Scott Duke Kominers & Alexandru Nichifor & Michael Ostrovsky & Alexander Westkamp, 2013. "Stability and Competitive Equilibrium in Trading Networks," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 966-1005.
    12. Kominers, Scott Duke & Hatfield, John William & Nichifor, Alexandru & Ostrovsky, Michael & Westkamp, Alexander, 2021. "Chain stability in trading networks," Theoretical Economics, Econometric Society, vol. 16(1), January.
    13. Michael Ostrovsky, 2008. "Stability in Supply Chain Networks," American Economic Review, American Economic Association, vol. 98(3), pages 897-923, June.
    14. Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
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    Cited by:

    1. Chao Huang, 2024. "A dynamic auction for multilateral collaboration," Papers 2411.06545, arXiv.org.

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