Cellular Automata Models for Diffusion of Innovations
| dc.creator | Fuks, Henryk | |
| dc.creator | Boccara, Nino | |
| dc.date | 1997-04-08 | |
| dc.date.accessioned | 2026-07-07T09:05:36Z | |
| dc.date.available | 2026-07-07T09:05:36Z | |
| dc.description | 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). | |
| dc.description | 13 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/adap-org/9704002 | |
| dc.identifier | http://arxiv.org/abs/adap-org/9704002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149730 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Cellular Automata Models for Diffusion of Innovations | |
| dc.type | text |