English

Local Convergence and Global Diversity: From Interpersonal to Social Influence

Physics and Society 2014-02-21 v1 Adaptation and Self-Organizing Systems

Abstract

Axelrod (1997) showed how local convergence in cultural influence can preserve cultural diversity. We argue that central implications of Axelrod's model may change profoundly, if his model is integrated with the assumption of social influence as assumed by an earlier generation of modelers. Axelrod and all follow up studies employed instead the assumption that influence is interpersonal (dyadic). We show how the combination of social influence with homophily allows solving two important problems. Our integration of social influence yields monoculture in small societies and diversity increasing in population size, consistently with empirical evidence but contrary to earlier models. The second problem was identified by Klemm et al.(2003a,b), an extremely narrow window of noise levels in which diversity with local convergence can be obtained at all. Our model with social influence generates stable diversity with local convergence across a much broader interval of noise levels than models based on interpersonal influence.

Keywords

Cite

@article{arxiv.0808.2710,
  title  = {Local Convergence and Global Diversity: From Interpersonal to Social Influence},
  author = {Andreas Flache and Michael W. Macy},
  journal= {arXiv preprint arXiv:0808.2710},
  year   = {2014}
}

Comments

20 pages, 3 figures, Paper presented at American Sociological Association 103rd Annual Meeting, August 1-4, 2008, Boston, MA. Session on Mathematical Sociology

R2 v1 2026-06-21T11:12:14.877Z