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Faster Is More Different: Mean-Field Dynamics of Innovation Diffusion

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  • Seung Ki Baek
  • Xavier Durang
  • Mina Kim

Abstract

Based on a recent model of paradigm shifts by Bornholdt et al., we studied mean-field opinion dynamics in an infinite population where an infinite number of ideas compete simultaneously with their values publicly known. We found that a highly innovative society is not characterized by heavy concentration in highly valued ideas: Rather, ideas are more broadly distributed in a more innovative society with faster progress, provided that the rate of adoption is constant, which suggests a positive correlation between innovation and technological disparity. Furthermore, the distribution is generally skewed in such a way that the fraction of innovators is substantially smaller than has been believed in conventional innovation-diffusion theory based on normality. Thus, the typical adoption pattern is predicted to be asymmetric with slow saturation in the ideal situation, which is compared with empirical data sets.

Suggested Citation

  • Seung Ki Baek & Xavier Durang & Mina Kim, 2013. "Faster Is More Different: Mean-Field Dynamics of Innovation Diffusion," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-6, July.
    • Handle: RePEc:plo:pone00:0068583
    DOI: 10.1371/journal.pone.0068583
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    References listed on IDEAS

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