Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5098335 | Journal of Economic Dynamics and Control | 2015 | 16 Pages |
Abstract
Suppose that homogeneous agents fully consume their time to invent new ideas and learn ideas from their friends. If the social network is complete and agents pick friends and ideas of friends uniformly at random, the distribution of ideas׳ popularity is an extension of the Yule-Simon distribution. It has a power-law tail, with an upward or a downward curvature. For infinite population it converges to the Yule-Simon distribution. The power law is steeper when innovation is high. Diffusion follows logistic curves.
Related Topics
Physical Sciences and Engineering
Mathematics
Control and Optimization
Authors
François Lafond,