

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. © 2014 Elsevier B.V.
I thank Robin Cowan, Luis Lafuerza, Daniel Opolot, Giorgio Triulzi, two anonymous referees and audiences at Eindhoven, Oxford, Santa-Fe and the INSNA and WEHIA conferences. Financial support from Maastricht Graduate School of Business and Economics is gratefully acknowledged. All errors are mine.
Lafond, F.; Institute for New Economic Thinking at the Oxford Martin School, Eagle House, Walton Well Road, Oxford, United Kingdom
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