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Global culture: A noise-induced transition in finite systems
Open accessAbstract
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 $r\ensuremath{\lesssim}{T}^{\ensuremath{-}1}$ induces monocultural configurations, whereas $r\ensuremath{\gtrsim}{T}^{\ensuremath{-}1}$ sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.
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Citations
Cites
The Dissemination of Culture: A Model with Local Convergence and Global Polarization
Axelrod, R. (1997) · Journal of Conflict Resolution · doi:10.1177/0022002797041002001 · Cited by 1,918
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Models of Social Influence: Towards the Next Frontiers
Flache, A., Mäs, M., Feliciani, T., Chattoe-Brown, E., Deffuant, G., Huet, S., & Lorenz, J. (2017) · Journal of Artificial Societies and Social Simulation · doi:10.18564/jasss.3521 · Cited by 601
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Gómez-Gardeñes, J., Reinares, I., Arenas, A., & Floría, L. M. (2012) · Scientific Reports · doi:10.1038/srep00620 · Cited by 462
Small Worlds and Cultural Polarization
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Metadata
- Authors
- Klemm, K., Eguíluz, V. M., Toral, R., & Miguel, M. S.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2003-04-15
- Volume
- 67
- Issue
- 4
- Pages
- 045101-045101
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2128767232
- Cited by
- 214
- References
- 1
- FWCI
- 3.82
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Klemm, K., Eguíluz, V. M., Toral, R., & Miguel, M. S. (2003). Global culture: A noise-induced transition in finite systems. Physical Review E. https://doi.org/10.1103/physreve.67.045101
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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