Template-type: ReDIF-Paper 1.0 Author-Name: Lafond, Francois Author-Email: lafond@merit.unu.edu Author-Workplace-Name: UNU-MERIT / MGSoG Title: Self-organization of knowledge economies Abstract: Suppose that homogenous 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 downward curvature. For infinite population it converges to the Yule-Simon distribution. The power law is steeper when innovation is high. Diffusion follows S-shaped curves. Classification-JEL: D83, D85, O31, O33 Keywords: innovation, diffusion, two-mode networks, cumulative advantage, quadratic attachment kernel, power law, Yule-Simon distribution, generalized hypergeometric distribution Series: UNU-MERIT Working Papers Creation-Date: 2013 Number: 040 File-URL: http://www.merit.unu.edu/publications/wppdf/2013/wp2013-040.pdf File-Format: application/pdf File-Size: 275 Kb Handle: RePEc:unm:unumer:2013040