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Diffusion In Complex Social Networks

  • Dunia López-Pintado

    ()

    (Universidad de Alicante)

This paper studies the problem of spreading a product (an idea or a technology) among agents in a social network. An agent obtains the product with a probability that depends on the spreading rate (or degree of contagion) of the product as well as on the behaviour of the agent?s neighbours. This paper shows, using a mean field approach, that there exists a threshold for the spreading rate that shapes the pattern of the product?s diffusion. This threshold, that depends on the network structure and the mechanism of contagion, determines whether the product spreads and becomes persistent or it does not spread and vanishes.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2004-33.pdf
File Function: Fisrt version / Primera version, 2004
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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2004-33.

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Length: 28 pages
Date of creation: Sep 2004
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2004-33
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References listed on IDEAS
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  1. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  2. Lawrence Blume, 1993. "The Statistical Mechanics of Best-Response Strategy Revision," Game Theory and Information 9307001, EconWPA, revised 26 Jan 1994.
  3. Dunia López-Pintado, 2006. "Contagion and coordination in random networks," International Journal of Game Theory, Springer, vol. 34(3), pages 371-381, October.
  4. Dunia Lopez Pintado, 2007. "The Spread of Free-Riding Behavior in a Social Network," UFAE and IAE Working Papers 718.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  5. H. Peyton Young & Mary A. Burke, 2001. "Competition and Custom in Economic Contracts: A Case Study of Illinois Agriculture," American Economic Review, American Economic Association, vol. 91(3), pages 559-573, June.
  6. Edward L. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995. "Crime and Social Interactions," NBER Working Papers 5026, National Bureau of Economic Research, Inc.
  7. Anderlini, Luca & Ianni, Antonella, 1996. "Path Dependence and Learning from Neighbors," Games and Economic Behavior, Elsevier, vol. 13(2), pages 141-177, April.
  8. Jackson, Matthew O. & Yariv, Leeat, 2006. "Diffusion of Behavior and Equilibrium Properties in Network Games," Working Papers 1264, California Institute of Technology, Division of the Humanities and Social Sciences.
  9. Benaim, Michel & Weibull, Jörgen W., 2000. "Deterministic Approximation of Stochastic Evolution in Games," Working Paper Series 534, Research Institute of Industrial Economics, revised 30 Oct 2001.
  10. Jackson Matthew O. & Rogers Brian W., 2007. "Relating Network Structure to Diffusion Properties through Stochastic Dominance," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-16, February.
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