IDEAS home Printed from https://ideas.repec.org/p/diw/diwwpp/dp642.html

Building Social Networks

Author

Listed:
  • Robert P. Gilles
  • Sudipta Sarangi

Abstract

We examine the process of building social relationships as a non-cooperative game that requires mutual consent and involves reaching out to others at a cost. Players create their social network from amongst their set of acquaintances. Having acquaintances allows players to form naive beliefs about the feasibility of building direct relationships with their acquaintances. These myopic beliefs describe how the other players are expected to respond to the initiation of a link by a player. We introduce a stability concept called "monadic stability" where agents play a best response to their formed myopic beliefs such that these beliefs are self-confirming. The resulting equilibrium networks form subset of the set of pairwise stable networks.

Suggested Citation

  • Robert P. Gilles & Sudipta Sarangi, 2006. "Building Social Networks," Discussion Papers of DIW Berlin 642, DIW Berlin, German Institute for Economic Research.
    • Handle: RePEc:diw:diwwpp:dp642
    as

    Download full text from publisher

    File URL: https://www.diw.de/documents/publikationen/73/diw_01.c.44839.de/dp642.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sudipta Sarangi & Robert P. Gilles, 2005. "Stable Networks and Convex Payoffs," Departmental Working Papers 2005-13, Department of Economics, Louisiana State University.
    2. repec:ebl:ecbull:v:3:y:2003:i:5:p:1-9 is not listed on IDEAS
    3. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 245-256.
    4. Rod Garratt & Cheng-Zhong Qin, 2003. "On cooperation structures resulting from simultaneous proposals," Economics Bulletin, AccessEcon, vol. 3(5), pages 1-9.
    5. 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.
    6. 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.
    7. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    8. Bloch, Francis & Jackson, Matthew O., 2007. "The formation of networks with transfers among players," Journal of Economic Theory, Elsevier, vol. 133(1), pages 83-110, March.
    9. Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
    10. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
    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. Rodrigo Harrison & Roberto Muñoz, 2008. "Stability and equilibrium selection in a link formation game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 335-345, November.
    2. Cai, Qingfeng & Li, Dongxu & Liu, Hao, 2025. "Gender minority: A non-pecuniary approach to political capital," Journal of Comparative Economics, Elsevier, vol. 53(3), pages 834-855.
    3. Beal, Sylvain & Querou, Nicolas, 2007. "Bounded rationality and repeated network formation," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 71-89, July.
    4. Subhadip Chakrabarti & Robert Gilles, 2007. "Network potentials," Review of Economic Design, Springer;Society for Economic Design, vol. 11(1), pages 13-52, June.

    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. Sudipta Sarangi & Robert P. Gilles, 2005. "The Role of Beliefs and Confidence in Building Social Networks," Departmental Working Papers 2005-15, Department of Economics, Louisiana State University.
    2. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    3. Marco Marini, 2007. "An Overview of Coalition & Network Formation Models for Economic Applications," Working Papers 0712, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.
    4. Gilles, R.P. & Sarangi, S., 2003. "The Role of Trust in Costly Network Formation," Discussion Paper 2003-53, Tilburg University, Center for Economic Research.
    5. Spagnolo, Giancarlo & Lippert, Steffen, 2004. "Networks of Relations," SSE/EFI Working Paper Series in Economics and Finance 570, Stockholm School of Economics, revised 04 Jun 2010.
    6. Joost Vandenbossche & Thomas Demuynck, 2013. "Network Formation with Heterogeneous Agents and Absolute Friction," Computational Economics, Springer;Society for Computational Economics, vol. 42(1), pages 23-45, June.
    7. Alessio D'Ignazio & Emanuele Giovannetti, 2006. "From Exogenous To Endogenous Economic Networks: Internet Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 20(5), pages 757-796, December.
    8. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
    9. Antoni Calvó-Armengol & Rahmi İlkılıç, 2009. "Pairwise-stability and Nash equilibria in network formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 51-79, March.
    10. Rodrigo J. Harrison & Roberto Munoz, 2003. "Stability and Equilibrium Selection in a Link Formation Game," Game Theory and Information 0306004, University Library of Munich, Germany.
    11. Rong, Rong & Houser, Daniel, 2015. "Growing stars: A laboratory analysis of network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 380-394.
    12. Pongou, Roland & Serrano, Roberto, 2013. "Dynamic Network Formation in Two-Sided Economies," MPRA Paper 46021, University Library of Munich, Germany.
    13. Jun, Tackseung & Kim, Jeong-Yoo, 2007. "Connectivity, stability and efficiency in a network as an information flow," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 314-331, May.
    14. A. Arrighetti & S. Curatolo, 2010. "Costi di coordinamento e vantaggi di aggregazione: esiti, morfologia e processi di interazione in un mondo artificiale multi-agente," Economics Department Working Papers 2010-EP01, Department of Economics, Parma University (Italy).
    15. Gilles, R.P. & Sarangi, S., 2005. "Stable Networks and Convex Payoffs," Discussion Paper 2005-84, Tilburg University, Center for Economic Research.
    16. Pandey, Siddhi Gyan, 2021. "Evolution of cooperative networks," Working Papers 21/346, National Institute of Public Finance and Policy.
    17. Alexander Elbittar & Rodrigo Harrison & Roberto Muñoz, 2007. "Network Structure in a Link-formation Game: An Experimental Study," Working Papers DTE 405, CIDE, División de Economía.
    18. Rodrigo Harrison & Roberto Muñoz, 2008. "Stability and equilibrium selection in a link formation game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 335-345, November.
    19. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    20. D'Ignazio, A. & Giovannetti, E., 2004. "From Exogenous to Endogenous Networks: Internet Applications," Cambridge Working Papers in Economics 0445, Faculty of Economics, University of Cambridge.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

    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:diw:diwwpp:dp642. 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: Bibliothek (email available below). General contact details of provider: https://edirc.repec.org/data/diwbede.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.