Opinion dynamics model with weighted influence: Exit probability and dynamics

Abstract

We introduce a stochastic model of binary opinion dynamics in which the opinions are determined by the size of the neighbouring domains. The exit probability here shows a step function behaviour indicating the existence of a separatrix distinguishing two different regions of basin of attraction. This behaviour, in one dimension, is in contrast to other well known opinion dynamics models where no such behaviour has been observed so far. The coarsening study of the model also yields novel exponent values. A lower value of persistence exponent is obtained in the present model, which involves stochastic dynamics, when compared to that in a similar type of model with deterministic dynamics. This apparently counter-intuitive result is justified using further analysis. Based on these results it is concluded that the proposed model belongs to a unique dynamical class.

6 pages, 6 figures; written in revtex4 format; Accepted version of PRE

References in corpus (6)

• Statistical physics of social dynamics
• Dynamics of Non-Conservative Voters
• A new model of binary opinion dynamics: coarsening and effect of disorder
• Some new results on one-dimensional outflow dynamics
• Irrelevance of information outflow in opinion dynamics models
• Zero temperature dynamics in two dimensional ANNNI model

Cited by in corpus (11)

• Towards Understanding What Contributes to Forming an Opinion
• Long route to consensus: Two stage coarsening in a binary choice voting model
• Exit probability in inflow dynamics: nonuniversality induced by range, asymmetry and fluctuation
• Interplay of interfacial noise and curvature driven dynamics in two dimensions
• Zero temperature coarsening in Ising model with asymmetric second neighbour interaction in two dimensions
• Exit Probability in Generalised Kinetic Ising Model
• Universal features of exit probability in opinion dynamics models with domain size dependent dynamics
• Non-equilibrium dynamics in a three state opinion formation model with stochastic extreme switches
• Minority spin dynamics in non-homogeneous Ising model: diverging timescales and exponents
• Impact of Preference and Equivocators on Opinion Dynamics with Evolutionary Game Framework
• Non-equilibrium dynamics in Ising like models with biased initial condition