IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/91428.html
   My bibliography  Save this paper

Group size and network formation

Author

Listed:
  • Melguizo Lopez, Isabel

Abstract

This paper analyze network formation, following the canonical model of Jackson and Wolinsky (JET, 1996) when individuals, that come in two types care about how their type is represented in their neighborhood. We focus on pairwise stable networks. We analyze equilibrium networks, as well as, efficient ones. Segregation measures on equilibrium networks are also analyzed.

Suggested Citation

  • Melguizo Lopez, Isabel, 2019. "Group size and network formation," MPRA Paper 91428, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:91428
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/91428/1/MPRA_paper_91428.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Harminder Battu & McDonald Mwale & Yves Zenou, 2007. "Oppositional identities and the labor market," Journal of Population Economics, Springer;European Society for Population Economics, vol. 20(3), pages 643-667, July.
    2. Fagiolo, Giorgio & Valente, Marco & Vriend, Nicolaas J., 2007. "Segregation in networks," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 316-336.
    3. Bagues, Manuel & Perez-Villadoniga, Maria J., 2013. "Why do I like people like me?," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1292-1299.
    4. 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.
    5. Matthew O. Jackson & Brian W. Rogers, 2005. "The Economics of Small Worlds," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 617-627, 04/05.
    6. McBride Michael, 2006. "Limited Observation in Mutual Consent Networks," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-29, August.
    7. David Card & Alexandre Mas & Jesse Rothstein, 2008. "Tipping and the Dynamics of Segregation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 177-218.
    8. Federico Echenique & Roland G. Fryer, 2007. "A Measure of Segregation Based on Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 441-485.
    9. Iijima, Ryota & Kamada, Yuichiro, 2017. "Social distance and network structures," Theoretical Economics, Econometric Society, vol. 12(2), May.
    10. Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2009. "A Dynamic Model of Segregation in Small-World Networks," Lecture Notes in Economics and Mathematical Systems, in: Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), Networks, Topology and Dynamics, pages 111-126, Springer.
    11. Joan de Martí & Yves Zenou, 2017. "Segregation in Friendship Networks," Scandinavian Journal of Economics, Wiley Blackwell, vol. 119(3), pages 656-708, July.
    12. Federico Echenique & Roland G. Fryer Jr & Alex Kaufman, 2006. "Is School Segregation Good or Bad?," American Economic Review, American Economic Association, vol. 96(2), pages 265-269, May.
    13. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
    14. Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2009. "A Dynamic Model of Segregation in Small-World Networks," Lecture Notes in Economics and Mathematical Systems, in: Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), Networks, Topology and Dynamics, pages 111-126, Springer.
    15. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
    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. Isabel Melguizo, 2023. "Group representation concerns and network formation," Bulletin of Economic Research, Wiley Blackwell, vol. 75(1), pages 151-179, January.
    2. Roy Cerqueti & Luca De Benedictis & Valerio Leone Sciabolazza, 2022. "Segregation with social linkages: Evaluating Schelling’s model with networked individuals," Metroeconomica, Wiley Blackwell, vol. 73(2), pages 384-440, May.
    3. Zenou, Yves & De Martí, Joan, 2009. "Ethnic Identity and Social Distance in Friendship Formation," CEPR Discussion Papers 7566, C.E.P.R. Discussion Papers.
    4. Sheng Li & Kuo-Liang Chang & Lanlan Wang, 2020. "Racial residential segregation in multiple neighborhood markets: a dynamic sorting study," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(2), pages 363-383, April.
    5. Zhiwei Cui & Yan-An Hwang, 2017. "House exchange and residential segregation in networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 125-147, March.
    6. Grauwin, Sébastian & Goffette-Nagot, Florence & Jensen, Pablo, 2012. "Dynamic models of residential segregation: An analytical solution," Journal of Public Economics, Elsevier, vol. 96(1), pages 124-141.
    7. Foerster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent J., 2021. "Shadow links," Journal of Economic Theory, Elsevier, vol. 197(C).
      • FOERSTER Manuel, & MAULEON Ana, & VANNETELBOSCH Vincent,, 2018. "Shadow links," LIDAM Discussion Papers CORE 2018030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
      • Foerster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent, 2021. "Shadow links," LIDAM Reprints CORE 3171, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Florent Dubois & Christophe Muller, 2017. "Segregation and the Perception of the Minority," Working Papers halshs-01520308, HAL.
    9. Harting, Philipp & Radi, Davide, 2020. "Residential segregation: The role of inequality and housing subsidies," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 801-819.
    10. Bjerre-Nielsen, Andreas, 2020. "Assortative matching with network spillovers," Journal of Economic Theory, Elsevier, vol. 187(C).
    11. Jiménez-Martínez, Antonio & Melguizo-López, Isabel, 2022. "Making friends: The role of assortative interests and capacity constraints," Journal of Economic Behavior & Organization, Elsevier, vol. 203(C), pages 431-465.
    12. Gandica, Yerali & Gargiulo, Floriana & Carletti, Timoteo, 2016. "Can topology reshape segregation patterns?," Chaos, Solitons & Fractals, Elsevier, vol. 90(C), pages 46-54.
    13. Chenghong Luo & Ana Mauleon & Vincent Vannetelbosch, 2021. "Network formation with myopic and farsighted players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1283-1317, June.
    14. Luo, Chenghong & Mauleon, Ana & Vannetelbosch, Vincent, 2022. "Friendship networks with farsighted agents," LIDAM Discussion Papers CORE 2022021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Laura Gardini & Davide Radi, 2018. "A piecewise smooth model of evolutionary game for residential mobility and segregation," Working Papers 1802, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2018.
    16. Guifeng Su & Yi Zhang, 2023. "Significant suppression of segregation in Schelling’s metapopulation model with star-type underlying topology," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(7), pages 1-6, July.
    17. Carayol, Nicolas & Roux, Pascale, 2009. "Knowledge flows and the geography of networks: A strategic model of small world formation," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 414-427, August.
    18. Verdier, Thierry & Zenou, Yves, 2017. "The role of social networks in cultural assimilation," Journal of Urban Economics, Elsevier, vol. 97(C), pages 15-39.
    19. Carayol, Nicolas & Roux, Pascale & YIldIzoGlu, Murat, 2008. "Inefficiencies in a model of spatial networks formation with positive externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 67(2), pages 495-511, August.
    20. Florence Goffette-Nagot & Pablo Jensen & Sebastian Grauwin, 2009. "Dynamic models of residential segregation: Brief review, analytical resolution and study of the introduction of coordination," Post-Print halshs-00404400, HAL.

    More about this item

    Keywords

    pairwise stability; segregation; welfare;
    All these keywords.

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:pra:mprapa:91428. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.