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Complex networks and the WWW market

Author

Listed:
  • López, Luis
  • A. Almendral, Juan
  • Sanjuán, Miguel A.F.

Abstract

This paper presents a model for the competition dynamics in the World Wide Web market. We show that this problem is suitable to be analyzed in the framework of the theory of complex networks, representing each site by a vertex in a graph and each competitive interaction as an edge. Once the topology of the interaction network has been defined, we evaluate the dynamical evolution of the fraction of the market controlled by the sites through a set of differential equations based on the Lotka–Volterra equations. We show that, under these assumptions, some interesting and novel nonlinear effects emerge in this kind of markets.

Suggested Citation

  • López, Luis & A. Almendral, Juan & Sanjuán, Miguel A.F., 2003. "Complex networks and the WWW market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(3), pages 754-758.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:3:p:754-758
    DOI: 10.1016/S0378-4371(02)01867-8
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    References listed on IDEAS

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    1. Sebastian M. Maurer & Eytan Adar & Bernardo A. Huberman, 2000. "The Competitive Dynamics Of Web Sites," Computing in Economics and Finance 2000 357, Society for Computational Economics.
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    Cited by:

    1. Wang, Yuanshi & Wu, Hong, 2004. "Dynamics of a cooperation–competition model for the WWW market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 609-620.
    2. Wang, Yuanshi & Wu, Hong, 2006. "Dynamics of a macroscopic model characterizing mutualism of search engines and web sites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 537-550.
    3. Zhihong Tian & Zhenji Zhang & Ruize Gao, 2016. "Optimization in e-commerce market network based on value order parameter," Information Technology and Management, Springer, vol. 17(2), pages 187-197, June.
    4. Li, Huajiao & An, Haizhong & Gao, Xiangyun & Huang, Jiachen & Xu, Qun, 2014. "On the topological properties of the cross-shareholding networks of listed companies in China: Taking shareholders’ cross-shareholding relationships into account," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 80-88.

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    1. Wang, Yuanshi & Wu, Hong, 2004. "Dynamics of a cooperation–competition model for the WWW market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 609-620.
    2. Wang, Yuanshi & Wu, Hong, 2006. "Dynamics of a macroscopic model characterizing mutualism of search engines and web sites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 537-550.
    3. López, Luis & Sanjuán, Miguel A.F., 2001. "Defining strategies to win in the Internet market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 512-534.

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