Cellular Automata Models for Diffusion of Innovations

Henryk Fuks; Nino Boccara

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arXiv · adap-org/9704002

Cellular Automata Models for Diffusion of Innovations

Henryk Fuks·Nino Boccara

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Abstract

We propose a probabilistic cellular automata model for the spread of innovations, rumors, news, etc. in a social system. The local rule used in the model is outertotalistic, and the range of interaction can vary. When the range R of the rule increases, the takeover time for innovation increases and converges toward its mean-field value, which is almost inversely proportional to R when R is large. Exact solutions for R=1 and $R=\infty$ (mean-field) are presented, as well as simulation results for other values of R. The average local density is found to converge to a certain stationary value, which allows us to obtain a semi-phenomenological solution valid in the vicinity of the fixed point n=1 (for large t).

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Henryk Fuks, Nino Boccara. 1997-04-08. Cellular Automata Models for Diffusion of Innovations. https://arxiv.org/abs/adap-org/9704002

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