IDEAS home Printed from https://ideas.repec.org/a/bla/jpbect/v22y2020i5p1368-1390.html
   My bibliography  Save this article

Endogenous formation of multiple social groups

Author

Listed:
  • Ngoc M. Nguyen
  • Lionel Richefort
  • Thomas Vallée

Abstract

This paper explores a model of group membership formation in which agents decide to join or not multiple social groups. The membership formation process induces a bipartite graph structure with social groups listed on one side and agents listed on the other side. Among members of multiple social groups, we consider two decisive types of agents: the grand star and the mini star. The former type is the unique agent in a society who participates in all social groups. The latter type includes agents who participate in more than one, but not all, social groups such that every social group pair has one and only one common member. We analyze the efficiency and stability conditions of group membership formation, and we establish sufficient conditions under which a connected graph that contains either a grand star or a set of mini stars becomes the unique strongly efficient and stable graph.

Suggested Citation

  • Ngoc M. Nguyen & Lionel Richefort & Thomas Vallée, 2020. "Endogenous formation of multiple social groups," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1368-1390, September.
    • Handle: RePEc:bla:jpbect:v:22:y:2020:i:5:p:1368-1390
    DOI: 10.1111/jpet.12442
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/jpet.12442
    Download Restriction: no
    File URL: https://libkey.io/10.1111/jpet.12442?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416-416.
    2. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    3. Allouch, Nizar & Wooders, Myrna, 2008. "Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes," Journal of Economic Theory, Elsevier, vol. 140(1), pages 246-278, May.
    4. Zhang, Chu-Xu & Zhang, Zi-Ke & Liu, Chuang, 2013. "An evolving model of online bipartite networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6100-6106.
    5. Lionel Richefort, 2018. "Warm-glow giving in networks with multiple public goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1211-1238, November.
    6. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    7. Demange,Gabrielle & Wooders,Myrna (ed.), 2005. "Group Formation in Economics," Cambridge Books, Cambridge University Press, number 9780521842716.
    8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    9. S. Battiston & M. Catanzaro, 2004. "Statistical properties of corporate board and director networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 38(2), pages 345-352, March.
    10. Christophe Bravard & Sudipta Sarangi & HANS HALLER, 2016. "Networks as Public Infrastructure: Externalities, Efficiency, and Implementation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 193-211, April.
    11. Gabrielle Demange & Wooders Myrna, 2005. "Group Formation in Economics: Networks, Clubs and Coalitions," Post-Print halshs-00576778, HAL.
    12. Reinhard Selten, 1973. "A Simple Model of Imperfect Competition, where 4 are Few and 6 are Many," Center for Mathematical Economics Working Papers 008, Center for Mathematical Economics, Bielefeld University.
    13. Page Jr., Frank H. & Wooders, Myrna, 2010. "Club networks with multiple memberships and noncooperative stability," Games and Economic Behavior, Elsevier, vol. 70(1), pages 12-20, September.
    14. Thomas Vallée & Joël Massol, 2013. "Firm's Network versus Board Members' Network: Who to Appoint?," Working Papers hal-00829905, HAL.
    15. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Remy Oddou, 2020. "The effect of a progressive taxation scheme on the endogenous formation of jurisdictions," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1705-1712, September.
    2. Wang, Pengyu & Fang, Debin & Cao, GangCheng, 2022. "How social learning affects customer behavior under the implementation of TOU in the electricity retailing market," Energy Economics, Elsevier, vol. 106(C).
    3. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2020. "Shapley and Scarf housing markets with consumption externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1481-1514, September.

    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. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.
    2. Page Jr., Frank H. & Wooders, Myrna, 2007. "Networks and clubs," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 406-425.
    3. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    4. Allouch, Nizar & Wooders, Myrna, 2008. "Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes," Journal of Economic Theory, Elsevier, vol. 140(1), pages 246-278, May.
    5. Sihua Ding & Marcin Dziubiński & Sanjeev Goyal, 2021. "Clubs and Networks," Working Papers 20210073, New York University Abu Dhabi, Department of Social Science, revised Dec 2021.
    6. Ana Mauleon & Huasheng Song & Vincent Vannetelbosch, 2010. "Networks of Free Trade Agreements among Heterogeneous Countries," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(3), pages 471-500, June.
    7. Jean-François Caulier & Ana Mauleon & Vincent Vannetelbosch, 2013. "Contractually stable networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 483-499, May.
    8. Allouch, Nizar & Wooders, Myrna, 2002. "Competitive Pricing In Socially Networked Economies," The Warwick Economics Research Paper Series (TWERPS) 639, University of Warwick, Department of Economics.
    9. Sommarat Chantarat & Christopher Barrett, 2012. "Social network capital, economic mobility and poverty traps," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(3), pages 299-342, September.
    10. Hellmann, Tim & Landwehr, Jakob, 2014. "Stable Networks in Homogeneous Societies," Center for Mathematical Economics Working Papers 517, Center for Mathematical Economics, Bielefeld University.
    11. in 't Veld, Daan & van der Leij, Marco & Hommes, Cars, 2020. "The formation of a core-periphery structure in heterogeneous financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 119(C).
    12. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
    13. Palsule-Desai, Omkar D., 2015. "Cooperatives for fruits and vegetables in emerging countries: Rationalization and impact of decentralization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 114-140.
    14. Paul Belleflamme & Francis Bloch, 2004. "Market sharing agreements and collusive networks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 387-411, May.
    15. Carrillo, Juan & Gaduh, Arya, 2012. "The Strategic Formation of Networks: Experimental Evidence," CEPR Discussion Papers 8757, C.E.P.R. Discussion Papers.
    16. Gabrielle Demange, 2017. "The stability of group formation," Revue d'économie politique, Dalloz, vol. 127(4), pages 495-516.
    17. Gilles Grandjean & Ana Mauleon & Vincent Vannetelbosch, 2011. "Connections Among Farsighted Agents," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(6), pages 935-955, December.
    18. Anindya S. Chakrabarti & Sanjay Moorjani, 2021. "Strategic Connections in a Hierarchical Society: Wedge Between Observed and Fundamental Valuations," Dynamic Games and Applications, Springer, vol. 11(3), pages 433-462, September.
    19. Rohith D. Vallam & C.A. Subramanian & Ramasuri Narayanam & Y. Narahari & N. Srinath, 2014. "Strategic Network Formation with Localized Pay-offs," Studies in Microeconomics, , vol. 2(1), pages 63-119, June.
    20. Page Jr., Frank H. & Wooders, Myrna, 2009. "Strategic basins of attraction, the path dominance core, and network formation games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 462-487, May.

    More about this item

    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:bla:jpbect:v:22:y:2020:i:5:p:1368-1390. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/apettea.html .

    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.