Reinforcement-Driven Spread of Innovations and Fads

Details Reinforcement-Driven Spread of Innovations and Fads Reinforcement-Driven Spread of Innovations and Fads

2011-04-20

arxiv.org/abs/1104.4107v2

J. Stat. Mech. P12003, (2011)

Physics

Physics and Society

4 pages, 2 columns, 5 figures, revtex 4-1 format; revised version has been expanded and put into iop format, with one figure a

Scientific paper

10.1088/1742-5468/2011/12/P12003

We propose kinetic models for the spread of permanent innovations and transient fads by the mechanism of social reinforcement. Each individual can be in one of M+1 states of awareness 0,1,2,...,M, with state M corresponding to adopting an innovation. An individual with awareness k1. The fraction of the population that remains clueless about a transient fad after it has come and gone changes discontinuously as a function of the fad abandonment rate lambda for M>1. The fad dies out completely in a time that varies non-monotonically with lambda.

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