Globalization, polarization and cultural drift

Authored by K Klemm, VM Eguiluz, R Toral, M San Miguel

Date Published: 2005-01

DOI: 10.1016/j.jedc.2003.08.005

Sponsors: European Union Spanish Ministry of Science and Innovation (MICINN)

Platforms: No platforms listed

Model Documentation: Other Narrative

Model Code URLs: Model code not found

Abstract

We study a one-dimensional version of Axelrod's model of cultural transmission. We classify the equilibrium configurations and analyze their stability. Below a critical threshold, an initially diverse population will converge to a monocultural equilibrium, or ordered state. Above this threshold, the dynamics settle to a multicultural or polarized state. These multicultural attractors are not stable, so that small local perturbations can drive the system towards a monocultural state. Cultural drift is modeled by perturbations (noise) acting at a finite rate. If the noise rate is small, the system reaches a monocultural state. However, if the noise rate is above a size-dependent critical value, noise sustains a polarized dynamical state. (C) 2004 Elsevier B.V. All rights reserved.

Tags

Agent-based models noise culture dynamics