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

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  • 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.

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Bibliographic Info

Paper provided by Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg in its series Working Papers of BETA with number 2006-16.

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Date of creation: 2006
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Handle: RePEc:ulp:sbbeta:2006-16

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Keywords: Strategic network formation ; Time-inhomogeneous process ; Knowledge flows ; Small worlds ; Monte Carlo simulations.;

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References

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  1. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
  2. Sanjeev Goyal & Marco van der Leij & José Luis Moraga Gonzales, 2004. "Economics: An Emerging Small World?," CESifo Working Paper Series 1287, CESifo Group Munich.
  3. 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.
  4. 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.
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  7. Stefano Breschi & Francesco Lissoni, 2010. ""Cross-firm" Inventors and Social Networks: Localized Knowledge Spillovers Revisited," NBER Chapters, in: Contributions in Memory of Zvi Griliches, pages 189-209 National Bureau of Economic Research, Inc.
  8. 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.
  9. Cowan,Robin & Jonard,Nicolas, 2000. "The Dynamics of Collective Invention," Research Memorandum 018, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
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  12. Jasjit Singh, 2005. "Collaborative Networks as Determinants of Knowledge Diffusion Patterns," Management Science, INFORMS, vol. 51(5), pages 756-770, May.
  13. Robert P. Gilles & Cathleen Johnson, 2000. "original papers : Spatial social networks," Review of Economic Design, Springer, vol. 5(3), pages 273-299.
  14. Goyal, S. & Joshi, S., 2000. "Networks of Collaboration in Oligopoly," Econometric Institute Research Papers EI 9952-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  15. M. T. Gastner & M. E.J. Newman, 2006. "The spatial structure of networks," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 49(2), pages 247-252, 01.
  16. Sumit Joshi, 2000. "Networks of Collaboration in Oligopoly," Econometric Society World Congress 2000 Contributed Papers 0623, Econometric Society.
  17. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
  18. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  19. Robles, Jack, 1998. "Evolution with Changing Mutation Rates," Journal of Economic Theory, Elsevier, vol. 79(2), pages 207-223, April.
  20. 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.
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