Opinion Formation on a Deterministic Pseudo-fractal Network

TL;DR

This paper explores opinion formation dynamics on a deterministic pseudo-fractal network using the Sznajd model, comparing results with real election data and other network models.

Contribution

It introduces the application of the Sznajd model to a deterministic pseudo-fractal network and compares its outcomes with real election data and Barabasi-Albert networks.

Findings

Vote distribution exponent matches real elections in Brazil and India.

Opinion dynamics differ between deterministic pseudo-fractal and scale-free networks.

Transient behavior aligns with empirical election data.

Abstract

The Sznajd model of socio-physics, that only a group of people sharing the same opinion can convince their neighbors, is applied to a scale-free random network modeled by a deterministic graph. We also study a model for elections based on the Sznajd model and the exponent obtained for the distribution of votes during the transient agrees with those obtained for real elections in Brazil and India. Our results are compared to those obtained using a Barabasi-Albert scale-free network.