Template-type: ReDif-Paper 1.0 Author-Name: Lafond, Francois D. Author-Email: lafond@merit.unu.edu Author-workplace-name: UNU-MERIT Title: Self-organization of knowledge economies Abstract: Suppose that homogenous agents fully consume their time to invent new ideas andlearn 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. Keywords: innovation, diffusion, two-mode networks, cumulative advantage, quadratic attachment kernel, power law, Yule-Simon distribution, generalized hypergeometric distribution Classification-JEL: D83, D85, O31, O33 Series: UNU-MERIT Working Papers Creation-Date: 20130101 Number: 2013-040 File-URL: https://unu-merit.nl/publications/wppdf/2013/wp2013-040.pdf File-Format: application/pdf File-Size: 275 kb Handle: RePEc:unm:unumer:2013040