IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2605.21117.html

When Do Markets Work? Multiplex Networks and Efficiency

Author

Listed:
  • Chengqing Li
  • Yves Zenou
  • Junjie Zhou

Abstract

We study an Arrow-Debreu economy with externalities generated by multiplex networks. Market equilibrium prices reflect both the preferences and scarcity of goods, consumers' network centralities arising from goods' externalities, as well as linkages across goods (layers) through the budget constraint. Despite the presence of externalities, competitive markets can still be efficient: the First and Second Welfare Theorems hold if either all networks are regular or all layers share the same network structure. When markets allocate goods inefficiently, a Lindahl equilibrium-implemented through personalized prices-can restore efficiency, but may leave some consumers worse off.

Suggested Citation

  • Chengqing Li & Yves Zenou & Junjie Zhou, 2026. "When Do Markets Work? Multiplex Networks and Efficiency," Papers 2605.21117, arXiv.org.
  • Handle: RePEc:arx:papers:2605.21117
    as

    Download full text from publisher

    File URL: https://arxiv.org/pdf/2605.21117
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014. "Strategic Interaction and Networks," American Economic Review, American Economic Association, vol. 104(3), pages 898-930, March.
    2. Parks, Robert P., 1991. "Pareto irrelevant externalities," Journal of Economic Theory, Elsevier, vol. 54(1), pages 165-179, June.
    3. KennethJ. Arrow & ParthaS. Dasgupta, 2009. "Conspicuous Consumption, Inconspicuous Leisure," Economic Journal, Royal Economic Society, vol. 119(541), pages 497-516, November.
    4. del Mercato, Elena L. & Nguyen, Van-Quy, 2023. "Sufficient conditions for a “simple” decentralization with consumption externalities," Journal of Economic Theory, Elsevier, vol. 209(C).
    5. Christian Ghiglino & Sanjeev Goyal, 2010. "Keeping Up with the Neighbors: Social Interaction in a Market Economy," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 90-119, March.
    6. Mariann Ollar & Antonio Penta, 2023. "A network solution to robust implementation: the case of identical but unknown distributions," Post-Print hal-04198678, HAL.
    7. Alastair Langtry, 2023. "Keeping Up with "The Joneses": Reference-Dependent Choice with Social Comparisons," American Economic Journal: Microeconomics, American Economic Association, vol. 15(3), pages 474-500, August.
    8. Joshi, Sumit & Mahmud, Ahmed Saber & Sarangi, Sudipta, 2020. "Network formation with multigraphs and strategic complementarities," Journal of Economic Theory, Elsevier, vol. 188(C).
    9. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    10. Nicole Immorlica & Rachel Kranton & Mihai Manea & Greg Stoddard, 2017. "Social Status in Networks," American Economic Journal: Microeconomics, American Economic Association, vol. 9(1), pages 1-30, February.
    11. Kor, Ryan & Zhou, Junjie, 2023. "Multi-activity influence and intervention," Games and Economic Behavior, Elsevier, vol. 137(C), pages 91-115.
    12. Osana, Hiroaki, 1972. "Externalities and the basic theorems of welfare economics," Journal of Economic Theory, Elsevier, vol. 4(3), pages 401-414, June.
    13. Matthew Elliott & Benjamin Golub, 2019. "A Network Approach to Public Goods," Journal of Political Economy, University of Chicago Press, vol. 127(2), pages 730-776.
    14. Yves Zenou & Junjie Zhou, 2026. "Games on Multiplex Networks," American Economic Review, American Economic Association, vol. 116(4), pages 1415-1458, April.
    15. Ying-Ju Chen & Yves Zenou & Junjie Zhou, 2018. "Multiple Activities in Networks," American Economic Journal: Microeconomics, American Economic Association, vol. 10(3), pages 34-85, August.
    16. Mariann Ollár & Antonio Penta, 2023. "A Network Solution to Robust Implementation: The Case of Identical but Unknown Distributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(5), pages 2517-2554.
    17. Bonnisseau, Jean-Marc & del Mercato, Elena L. & Siconolfi, Paolo, 2023. "Existence of an equilibrium in arrowian markets for consumption externalities," Journal of Economic Theory, Elsevier, vol. 209(C).
    18. Billand, Pascal & Bravard, Christophe & Joshi, Sumit & Mahmud, Ahmed Saber & Sarangi, Sudipta, 2023. "A model of the formation of multilayer networks," Journal of Economic Theory, Elsevier, vol. 213(C).
    19. Robert M. Anderson & Haosui Duanmu, 2025. "Cap‐and‐Trade and Carbon Tax Meet Arrow–Debreu," Econometrica, Econometric Society, vol. 93(2), pages 357-393, March.
    20. Ledyard, John O., 1971. "The relation of optima and market equilibria with externalities," Journal of Economic Theory, Elsevier, vol. 3(1), pages 54-65, March.
    21. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    22. Demange, Gabrielle, 2025. "Dual communication in a social network: Contributing and dedicating attention," Games and Economic Behavior, Elsevier, vol. 153(C), pages 359-385.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Allouch, Nizar & King, Maia, 2021. "Welfare targeting in networks," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    2. Kor, Ryan & Zhou, Junjie, 2023. "Multi-activity influence and intervention," Games and Economic Behavior, Elsevier, vol. 137(C), pages 91-115.
    3. Zhang, Yang & He, Longfei, 2021. "Theory and experiments on network games of public goods: inequality aversion and welfare preference," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 326-347.
    4. Mauleon, Ana & Nanumyan, Mariam & Vannetelbosch, Vincent, 2024. "Ideal efforts and consensus in a multi-layer network game," LIDAM Discussion Papers CORE 2024023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Chen, Ying-Ju & Zenou, Yves & Zhou, Junjie, 2022. "The impact of network topology and market structure on pricing," Journal of Economic Theory, Elsevier, vol. 204(C).
    6. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Li, Guopeng & Wang, Sijie & Xiong, Yifan & Zhu, Feng, 2025. "Pricing negative externalities in social networks," Journal of Mathematical Economics, Elsevier, vol. 118(C).
    8. Demange, Gabrielle, 2025. "Dual communication in a social network: Contributing and dedicating attention," Games and Economic Behavior, Elsevier, vol. 153(C), pages 359-385.
    9. Cui, Zhiwei & Li, Xueheng & Zhang, Boyu, 2025. "Decomposability and the social comparison trap," Journal of Mathematical Economics, Elsevier, vol. 120(C).
    10. Mariann Ollar & Antonio Penta, 2021. "A network solution to robust implementation: The case of identical but unknown distributions," Economics Working Papers 1776, Department of Economics and Business, Universitat Pompeu Fabra.
    11. Evan Sadler & Benjamin Golub, 2021. "Games on Endogenous Networks," Papers 2102.01587, arXiv.org, revised Feb 2024.
    12. Yang Sun & Wei Zhao & Junjie Zhou, 2021. "Structural Interventions in Networks," Papers 2101.12420, arXiv.org, revised Feb 2021.
    13. Kor, Ryan & Liu, Yi & Zenou, Yves & Zhou, Junjie, 2025. "Welfare and distributional effects of joint intervention in networks," Journal of Economic Theory, Elsevier, vol. 230(C).
    14. Walsh, A. M., 2019. "Games on Multi-Layer Networks," Cambridge Working Papers in Economics 1954, Faculty of Economics, University of Cambridge.
    15. Nizar Allouch & Maia King, 2019. "Constrained public goods in networks," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(5), pages 895-902, October.
    16. Allouch, Nizar, 2017. "The cost of segregation in (social) networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 329-342.
    17. Joseph Root & Evan Sadler, 2026. "A Theory of Network Games Part 1: Utility Representations," Papers 2602.16071, arXiv.org, revised Jun 2026.
    18. Parise, Francesca & Ozdaglar, Asuman, 2019. "A variational inequality framework for network games: Existence, uniqueness, convergence and sensitivity analysis," Games and Economic Behavior, Elsevier, vol. 114(C), pages 47-82.
    19. Jingmin Huang & Yang Sun & Fanqi Xu & Wei Zhao, 2025. "Public Goods Provision in Directed Networks: A Kernel Approach," Papers 2512.23193, arXiv.org.
    20. Hiller, Timo, 2025. "Targeting in adaptive networks," Journal of Economic Theory, Elsevier, vol. 228(C).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2605.21117. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: https://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.