Modeling diffusion of innovations with probabilistic cellular automata

Details Modeling diffusion of innovations with probabilistic cellular automata Modeling diffusion of innovations with probabilistic cellular automata

1997-05-14

arxiv.org/abs/adap-org/9705004v1

in "Cellular Automata: A Parallel Model", M. Delorme and J. Mazoyer (eds.), Kluwer Academic Publishers, Dordrecht (1998)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

17 pages, 5 figures

Scientific paper

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.

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