2002/05/09 by Konstantin Klemm, Victor M. Eguiluz, Victor M. Eguı́luz +4 · 3 citations
Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Evolutionary Game Theory and Cooperation #Opinion Dynamics and Social Influence #cond-mat
paper · pdf · doi:10.1103/physreve.67.045101
published as Physical Review E 67, 045101(R) (2003) · 4 pages, 5 figures. For related material visit http://www.imedea.uib.es/physdept/
arxiv created 2002/05/09 · openalex publication_date 2003/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the effect of cultural drift, modeled as noise, in Axelrod's model for the dissemination of culture. The disordered multicultural frozen configurations are found not to be stable. This general result is proven rigorously in d=1, where the dynamics is described in terms of a Lyapunov potential. In d=2, the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate r <or=T(-1) induces monocultural configurations, whereas r > or =T(-1) sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.