IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2511.11475.html

Public Goods Games in Directed Networks with Constraints on Sharing

Author

Listed:
  • Argyrios Deligkas
  • Gregory Gutin
  • Mark Jones
  • Philip R. Neary
  • Anders Yeo

Abstract

In a public goods game, every player chooses whether or not to buy a good that all neighboring players will have access to. We consider a setting in which the good is indivisible, neighboring players are out-neighbors in a directed graph, and there is a capacity constraint on their number, k, that can benefit from the good. This means that each player makes a two-pronged decision: decide whether or not to buy and, conditional on buying, choose which k out-neighbors to share access. We examine both pure and mixed Nash equilibria in the model from the perspective of existence, computation, and efficiency. We perform a comprehensive study for these three dimensions with respect to both sharing capacity (k) and the network structure (the underlying directed graph), and establish sharp complexity dichotomies for each.

Suggested Citation

  • Argyrios Deligkas & Gregory Gutin & Mark Jones & Philip R. Neary & Anders Yeo, 2025. "Public Goods Games in Directed Networks with Constraints on Sharing," Papers 2511.11475, arXiv.org.
    • Handle: RePEc:arx:papers:2511.11475
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2511.11475
    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. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    3. Gregory Z. Gutin & Philip R. Neary & Anders Yeo, 2021. "Unique Stable Matchings," Papers 2106.12977, arXiv.org, revised Jul 2023.
    4. 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.
    5. Bayer, Péter & Kozics, György & Szőke, Nóra Gabriella, 2023. "Best-response dynamics in directed network games," Journal of Economic Theory, Elsevier, vol. 213(C).
    6. Allouch, Nizar, 2017. "The cost of segregation in (social) networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 329-342.
    7. Gutin, Gregory Z. & Neary, Philip R. & Yeo, Anders, 2023. "Unique stable matchings," Games and Economic Behavior, Elsevier, vol. 141(C), pages 529-547.
    8. Gerke, Stefanie & Gutin, Gregory & Hwang, Sung-Ha & Neary, Philip R., 2024. "Public goods in networks with constraints on sharing," Journal of Economic Theory, Elsevier, vol. 219(C).
    9. Papadimitriou, Christos & Peng, Binghui, 2023. "Public goods games in directed networks," Games and Economic Behavior, Elsevier, vol. 139(C), pages 161-179.
    10. Luca Dall’Asta & Paolo Pin & Abolfazl Ramezanpour, 2011. "Optimal Equilibria of the Best Shot Game," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(6), pages 885-901, December.
    11. Boncinelli, Leonardo & Pin, Paolo, 2012. "Stochastic stability in best shot network games," Games and Economic Behavior, Elsevier, vol. 75(2), pages 538-554.
    12. Markus Kinateder & Luca Paolo Merlino, 2017. "Public Goods in Endogenous Networks," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 187-212, August.
    13. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    14. ,, 2015. "Social activity and network formation," Theoretical Economics, Econometric Society, vol. 10(2), May.
    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. Chen, Ying & Lane, Tom & McDonald, Stuart, 2025. "Endogenous network formation in local public goods: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 150(C), pages 198-214.
    2. 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.
    3. Allouch, Nizar & King, Maia, 2021. "Welfare targeting in networks," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    4. Papadimitriou, Christos & Peng, Binghui, 2023. "Public goods games in directed networks," Games and Economic Behavior, Elsevier, vol. 139(C), pages 161-179.
    5. Kinateder, Markus & Merlino, Luca Paolo, 2023. "Free riding in networks," European Economic Review, Elsevier, vol. 152(C).
    6. Bayer, Péter & Herings, P. Jean-Jacques & Peeters, Ronald, 2021. "Farsighted manipulation and exploitation in networks," Journal of Economic Theory, Elsevier, vol. 196(C).
    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. Mohanty, Sambit & Rao, K.S. Mallikarjuna & Roy, Jaideep, 2024. "Kantian imperatives in public goods networks," Journal of Economic Behavior & Organization, Elsevier, vol. 224(C), pages 194-214.
    9. Walsh, A. M., 2019. "Games on Multi-Layer Networks," Cambridge Working Papers in Economics 1954, Faculty of Economics, University of Cambridge.
    10. Meléndez-Jiménez, Miguel A. & Polanski, Arnold, 2020. "Dirty neighbors — Pollution in an interlinked world," Energy Economics, Elsevier, vol. 86(C).
    11. Bouveret, Géraldine & Mandel, Antoine, 2021. "Social interactions and the prophylaxis of SI epidemics on networks," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    12. Dunia Lopez-Pintado, 2016. "Influence networks and public goods," UMASS Amherst Economics Working Papers 2016-12, University of Massachusetts Amherst, Department of Economics.
    13. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    14. Kinateder, Markus & Merlino, Luca Paolo, 2022. "Local public goods with weighted link formation," Games and Economic Behavior, Elsevier, vol. 132(C), pages 316-327.
    15. Geraldine Bouveret & Antoine Mandel, 2020. "Prophylaxis of Epidemic Spreading with Transient Dynamics," Papers 2007.07580, arXiv.org.
    16. Yukun Cheng & Xiaotie Deng & Yunxuan Ma, 2025. "Networked Digital Public Goods Games with Heterogeneous Players and Convex Costs," Papers 2502.01001, arXiv.org.
    17. Hiller, Timo, 2022. "A simple model of network formation with competition effects," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    18. Allouch, Nizar, 2017. "The cost of segregation in (social) networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 329-342.
    19. Dike Chukwudi Henry, 2021. "Network Games, Peer Effect and Neutral Transfers," Studies in Economics 2107, School of Economics, University of Kent.
    20. Bayer, Péter & Herings, P. Jean-Jacques & Peeters, Ronald & Thuijsman, Frank, 2019. "Adaptive learning in weighted network games," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 250-264.

    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:2511.11475. 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: http://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.