Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
1997-04-08
Nonlinear Sciences
Adaptation and Self-Organizing Systems
13 pages, 6 figures
Scientific paper
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).
Boccara Nino
Fuks' Henryk
No associations
LandOfFree
Cellular Automata Models for Diffusion of Innovations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Cellular Automata Models for Diffusion of Innovations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cellular Automata Models for Diffusion of Innovations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-537000