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The influence of learning and updating speed on the growth of commercial websites

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Listed:
  • Wan, Xiaoji
  • Deng, Guishi
  • Bai, Yang
  • Xue, Shaowei

Abstract

In this paper, we study the competition model of commercial websites with learning and updating speed, and further analyze the influence of learning and updating speed on the growth of commercial websites from a nonlinear dynamics perspective. Using the center manifold theory and the normal form method, we give the explicit formulas determining the stability and periodic fluctuation of commercial sites. Numerical simulations reveal that sites periodically fluctuate as the speed of learning and updating crosses one threshold. The study provides reference and evidence for website operators to make decisions.

Suggested Citation

  • Wan, Xiaoji & Deng, Guishi & Bai, Yang & Xue, Shaowei, 2012. "The influence of learning and updating speed on the growth of commercial websites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 4018-4030.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:15:p:4018-4030
    DOI: 10.1016/j.physa.2012.03.005
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    References listed on IDEAS

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    1. 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.
    2. Maurer, Sebastian M. & Huberman, Bernardo A., 2003. "Competitive dynamics of web sites," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11-12), pages 2195-2206, September.
    3. Ren, Yawei & Yang, Deli & Diao, Xinjun, 2010. "Market segmentation strategy in internet market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1688-1698.
    4. Jiang, Jifa & Cheng, Zhixin, 2006. "The complete strategic classification for a cooperation–competition model in the WWW market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 527-536.
    5. Maurer, Sebastian M. & Huberman, Bernardo A., 2003. "Competitive dynamics of web sites," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2195-2206.
    6. 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.
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