The diffusion of opposite opinions in a randomly biased environment

Autor: González-Navarrete, Manuel, Lambert, Rodrigo
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/1.5095762
Popis: We propose a model for diffusion of two opposite opinions. Here, the decision to be taken by each individual is a random variable which depends on the tendency of the population, as well on its own trend characteristic. The influence of the population trend can be positive, negative or non-existent in a random form. We prove a phase transition in the behaviour of the proportion of each opinion. Namely, the mean square proportions are linear functions of time in the diffusive case, but are given by a power law in the superdiffusive regime.
Comment: 12 pages
Databáze: arXiv