Modeling diffusion of innovations with probabilistic cellular automata
adap-org
2023-12-18 v1 Adaptation and Self-Organizing Systems
q-bio
Abstract
We present a family of one-dimensional cellular automata modeling the diffusion of an innovation in a population. Starting from simple deterministic rules, we construct models parameterized by the interaction range and exhibiting a second-order phase transition. We show that the number of individuals who eventually keep adopting the innovation strongly depends on connectivity between individuals.
Cite
@article{arxiv.adap-org/9705004,
title = {Modeling diffusion of innovations with probabilistic cellular automata},
author = {Nino Boccara and Henryk Fuks},
journal= {arXiv preprint arXiv:adap-org/9705004},
year = {2023}
}
Comments
17 pages, 5 figures