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The Structure of Equilibria in Trading Networks with Frictions

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  • Jan Christoph Schlegel

Abstract

Several structural results for the set of competitive equilibria in trading networks with frictions are established: The lattice theorem, the rural hospitals theorem, the existence of side-optimal equilibria, and a group-incentive-compatibility result hold with imperfectly transferable utility and in the presence of frictions. While our results are developed in a trading network model, they also imply analogous (and new) results for exchange economies with combinatorial demand and for two-sided matching markets with transfers.

Suggested Citation

  • Jan Christoph Schlegel, 2018. "The Structure of Equilibria in Trading Networks with Frictions," Papers 1808.07924, arXiv.org, revised Jun 2020.
  • Handle: RePEc:arx:papers:1808.07924
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    File URL: http://arxiv.org/pdf/1808.07924
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    References listed on IDEAS

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    1. 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.
    2. Jan Christoph Schlegel, 2016. "Virtual Demand and Stable Mechanisms," Cahiers de Recherches Economiques du Département d'économie 16.11, Université de Lausanne, Faculté des HEC, Département d’économie.
    3. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
    4. Tamás Fleiner & Ravi Jagadeesan & Zsuzsanna Jankó & Alexander Teytelboym, 2019. "Trading Networks With Frictions," Econometrica, Econometric Society, vol. 87(5), pages 1633-1661, September.
    5. 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.
    6. 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.
    7. Tam'as Fleiner & Zsuzsanna Jank'o & Akihisa Tamura & Alexander Teytelboym, 2015. "Trading Networks with Bilateral Contracts," Papers 1510.01210, arXiv.org, revised May 2018.
    8. Kominers, Scott Duke & Hatfield, John William & Nichifor, Alexandru & Ostrovsky, Michael & Westkamp, Alexander, 0. "Chain stability in trading networks," Theoretical Economics, Econometric Society.
    9. Jagadeesan, Ravi & Kominers, Scott Duke & Rheingans-Yoo, Ross, 2018. "Strategy-proofness of worker-optimal matching with continuously transferable utility," Games and Economic Behavior, Elsevier, vol. 108(C), pages 287-294.
    10. Hatfield, John William & Kominers, Scott Duke & Nichifor, Alexandru & Ostrovsky, Michael & Westkamp, Alexander, 2019. "Full substitutability," Theoretical Economics, Econometric Society, vol. 14(4).
    11. John William Hatfield & Fuhito Kojima & Scott Duke Kominers, 2014. "Investment Incentives in Labor Market Matching," American Economic Review, American Economic Association, vol. 104(5), pages 436-441, May.
    12. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Sciences Po publications info:hdl:2441/5kmb4ke32h9, Sciences Po.
    13. Roth, Alvin E, 1991. "A Natural Experiment in the Organization of Entry-Level Labor Markets: Regional Markets for New Physicians and Surgeons in the United Kingdom," American Economic Review, American Economic Association, vol. 81(3), pages 415-440, June.
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    Cited by:

    1. Yu Zhou & Shigehiro Serizawa, 2020. "Serial Vickrey Mechanism," ISER Discussion Paper 1095, Institute of Social and Economic Research, Osaka University.
    2. Elizabeth Baldwin & Omer Edhan & Ravi Jagadeesan & Paul Klemperer & Alexander Teytelboym, 2020. "The Equilibrium Existence Duality: Equilibrium with Indivisibilities & Income Effects," Papers 2006.16939, arXiv.org.
    3. Herings, P. Jean-Jacques & Zhou, Yu, 2019. "Competitive Equilibria in Matching Models with Financial Constraints," Research Memorandum 007, Maastricht University, Graduate School of Business and Economics (GSBE).

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