Irrelevance of information outflow in opinion dynamics models

Abstract

The Sznajd model for opinion dynamics has attracted a large interest as a simple realization of the psychological principle of social validation. As its most salient feature, it has been claimed that the Sznajd model is qualitatively different from other ordering processes, because it is the only one featuring outflow of information as opposed to inflow. We show that this claim is unfounded by presenting a generalized zero-temperature Glauber-type of dynamics which yields results indistinguishable from those of the Sznajd model. In one-dimension we also derive an exact expression for the exit probability of the Sznajd model, that turns out to coincide with the result of an analytical approach based on the Kirkwood approximation. This observation raises interesting questions about the applicability and limitations of this approach.

5 pages, 4 figures

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• Universal and non-universal features of the generalized voter class for ordering dynamics
• Mapping the $q$-voter model: From a single chain to complex networks
• Zero temperature coarsening in Ising model with asymmetric second neighbour interaction in two dimensions
• Quantum games of opinion formation based on the Marinatto-Weber quantum game scheme
• Exit Probability in Generalised Kinetic Ising Model
• Non-equilibrium dynamics in a three state opinion formation model with stochastic extreme switches
• Nonlinear q-voter model with deadlocks on the Watts-Strogatz graph
• Universal features of exit probability in opinion dynamics models with domain size dependent dynamics
• Phase diagram in a one-dimensional civil disorder model
• The Value of Conflict in Stable Social Networks
• Testing the validity of the Kirkwood approximation using an extended Sznajd model
• Non-equilibrium dynamics in Ising like models with biased initial condition