Globalization, polarization and cultural drift

Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San Miguel

Research output: Contribution to journalArticlepeer-review

73 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)321-334
Number of pages14
JournalJournal of Economic Dynamics and Control
Volume29
Issue number1-2
DOIs
Publication statusPublished - Jan 2005

Keywords

  • Agent-based models
  • Culture dynamics
  • Noise

ASJC Scopus subject areas

  • Economics and Econometrics
  • Control and Optimization
  • Applied Mathematics

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