IDEAS home Printed from https://ideas.repec.org/p/ulp/sbbeta/2006-16.html
   My bibliography  Save this paper

Knowledge flows and the geography of networks. A strategic model of small worlds formation

Author

Listed:
  • Nicolas Carayol
  • Pascale Roux

Abstract

This paper aims to demonstrate that the strategic approach of network formation can generate networks that share the main structural properties of most real social networks. We introduce a spatialized variation of the Connections model (Jackson and Wolinski, 1996) in which agents balance the benefits of forming links resulting from imperfect knowledge flows through bonds against their costs which increase with geographic distance. We show that, for intermediary levels of knowledge transferability, our time-inhomogeneous process selects networks which exhibit high clustering, short average distances and, when the costs of link formation are normally distributed across agents, skewed degree distributions.

Suggested Citation

  • Nicolas Carayol & Pascale Roux, 2006. "Knowledge flows and the geography of networks. A strategic model of small worlds formation," Working Papers of BETA 2006-16, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    • Handle: RePEc:ulp:sbbeta:2006-16
    as

    Download full text from publisher

    File URL: http://beta.u-strasbg.fr/WP/2006/2006-16.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Adam B. Jaffe & Manuel Trajtenberg & Rebecca Henderson, 1993. "Geographic Localization of Knowledge Spillovers as Evidenced by Patent Citations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 577-598.
    2. 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.
    3. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    4. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    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. Sanjeev Goyal & Marco J. van der Leij & José Luis Moraga-Gonzalez, 2006. "Economics: An Emerging Small World," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 403-432, April.
    7. Nicolas Carayol & Pascale Roux, 2004. "Behavioral Foundations And Equilibrium Notions For Social Network Formation Processes," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 77-92.
    8. Cowan, R. & Jonard, N., 2003. "The dynamics of collective invention," Journal of Economic Behavior & Organization, Elsevier, vol. 52(4), pages 513-532, December.
    9. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    10. Deborah F. Minehart & Rachel E. Kranton, 2000. "original papers : Competition for goods in buyer-seller networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 301-331.
    11. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    12. Vega-Redondo, Fernando, 2006. "Building up social capital in a changing world," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 2305-2338, November.
    13. Paul Almeida & Bruce Kogut, 1999. "Localization of Knowledge and the Mobility of Engineers in Regional Networks," Management Science, INFORMS, vol. 45(7), pages 905-917, July.
    14. M. T. Gastner & M. E.J. Newman, 2006. "The spatial structure of networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 49(2), pages 247-252, January.
    15. Robert P. Gilles & Cathleen Johnson, 2000. "original papers : Spatial social networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 273-299.
    16. repec:adr:anecst:y:2005:i:79-80:p:08 is not listed on IDEAS
    17. Jasjit Singh, 2005. "Collaborative Networks as Determinants of Knowledge Diffusion Patterns," Management Science, INFORMS, vol. 51(5), pages 756-770, May.
    18. Allen, Robert C., 1983. "Collective invention," Journal of Economic Behavior & Organization, Elsevier, vol. 4(1), pages 1-24, March.
    19. Robles, Jack, 1998. "Evolution with Changing Mutation Rates," Journal of Economic Theory, Elsevier, vol. 79(2), pages 207-223, April.
    20. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    21. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
    22. 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. 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.
    2. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    3. 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.
    4. 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.
    5. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, University Library of Munich, Germany.
    6. Matthew O. Jackson & Brian W. Rogers & Yves Zenou, 2016. "Networks: An Economic Perspective," Papers 1608.07901, arXiv.org.
    7. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. , David, 2016. "The formation of networks with local spillovers and limited observability," Theoretical Economics, Econometric Society, vol. 11(3), September.
    9. Yangbo Song & Mihaela Schaar, 2020. "Dynamic network formation with foresighted agents," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 345-384, June.
    10. Hojman, Daniel & Szeidl, Adam, 2006. "Core and Periphery in Endogenous Networks," Working Paper Series rwp06-022, Harvard University, John F. Kennedy School of Government.
    11. M. Koenig & Claudio J. Tessone & Yves Zenou, "undated". "A Dynamic Model of Network Formation with Strategic Interactions," Working Papers CCSS-09-006, ETH Zurich, Chair of Systems Design.
    12. Yannis M. Ioannides, 2005. "Random Graphs and Social Networks: An Economics Perspective," Discussion Papers Series, Department of Economics, Tufts University 0518, Department of Economics, Tufts University.
    13. Péter Bayer & Ani Guerdjikova, 2020. "Optimism leads to optimality: Ambiguity in network formation," Working Papers hal-03005107, HAL.
    14. 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.
    15. Goeree, Jacob K. & Riedl, Arno & Ule, Aljaz, 2009. "In search of stars: Network formation among heterogeneous agents," Games and Economic Behavior, Elsevier, vol. 67(2), pages 445-466, November.
    16. Lee Fleming & Charles King & Adam I. Juda, 2007. "Small Worlds and Regional Innovation," Organization Science, INFORMS, vol. 18(6), pages 938-954, December.
    17. Carayol, Nicolas & Roux, Pascale, 2005. "Self-organizing Innovation Networks: When do Small Worlds Emerge?," European Journal of Economic and Social Systems, Lavoisier, vol. 18(2), pages 307-332.
    18. Cowan, Robin, 2004. "Network models of innovation and knowledge diffusion," Research Memorandum 016, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
    19. Autant-Bernard, Corinne & Fadairo, Muriel & Massard, Nadine, 2013. "Knowledge diffusion and innovation policies within the European regions: Challenges based on recent empirical evidence," Research Policy, Elsevier, vol. 42(1), pages 196-210.
    20. Mohsen Mosleh & Peter Ludlow & Babak Heydari, 2016. "Distributed Resource Management in Systems of Systems: An Architecture Perspective," Systems Engineering, John Wiley & Sons, vol. 19(4), pages 362-374, July.

    More about this item

    Keywords

    Strategic network formation ; Time-inhomogeneous process ; Knowledge flows ; Small worlds ; Monte Carlo simulations.;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

    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:ulp:sbbeta:2006-16. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bestrfr.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.