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Dynamics of a macroscopic model characterizing mutualism of search engines and web sites

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  • Wang, Yuanshi
  • Wu, Hong

Abstract

We present a model to describe the mutualism relationship between search engines and web sites. In the model, search engines and web sites benefit from each other while the search engines are derived products of the web sites and cannot survive independently. Our goal is to show strategies for the search engines to survive in the internet market. From mathematical analysis of the model, we show that mutualism does not always result in survival. We show various conditions under which the search engines would tend to extinction, persist or grow explosively. Then by the conditions, we deduce a series of strategies for the search engines to survive in the internet market. We present conditions under which the initial number of consumers of the search engines has little contribution to their persistence, which is in agreement with the results in previous works. Furthermore, we show novel conditions under which the initial value plays an important role in the persistence of the search engines and deduce new strategies. We also give suggestions for the web sites to cooperate with the search engines in order to form a win–win situation.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:363:y:2006:i:2:p:537-550
    DOI: 10.1016/j.physa.2005.08.024
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    References listed on IDEAS

    as
    1. Gandal, Neil, 2001. "The dynamics of competition in the internet search engine market," International Journal of Industrial Organization, Elsevier, vol. 19(7), pages 1103-1117, July.
    2. 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.
    3. Wang, Yuanshi & Wu, Hong, 2005. "Convergence and optimization of agent-based coalition formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 641-658.
    4. 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.
    5. 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.
    6. 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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    Keywords

    Search engines; Web sites; Steady state; Persistence;

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