%0 Journal Article %1 Kle-05 %A Klemm, Konstantin %A Eguíluz, Víctor %A Toral, Raúl %A Miguel, Maxi %D 2005 %J J. Eco Dynamics \& Control %K Agent-based Culture Dynamics Noise and models %P 321--334 %T Globalization, Polarization and Cultural Drift %U www.imedea.uib.es/~victor/Cult/global.pdf %V 29 %X 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 perturbation 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-dependant critical value, noise sustains a polarized dynamical state.

@article{Kle-05, 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 perturbation 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-dependant critical value, noise sustains a polarized dynamical state.}, added-at = {2008-03-13T16:33:57.000+0100}, author = {Klemm, Konstantin and Egu\'iluz, V\'ictor and Toral, Ra{\'u}l and Miguel, Maxi}, biburl = {https://www.bibsonomy.org/bibtex/25e3a86faf667fdb53af3c3aea9e53c94/bertil.hatt}, date-added = {2007-06-11 17:22:07 +0200}, date-modified = {2008-01-15 16:12:45 +0100}, description = {March 2008}, interhash = {48d12ccdee8a741d1a6cf04121c335b4}, intrahash = {5e3a86faf667fdb53af3c3aea9e53c94}, journal = {J. Eco Dynamics \{\&} Control}, keywords = {Agent-based Culture Dynamics Noise and models}, local-url = {file://localhost/Users/bertilhatt/Documents/Papers/Klemm/2005/Klemm%202005%20J%20%20Eco%20Dynamics%20%20%20Control.}, pages = {321--334}, rating = {0}, timestamp = {2008-03-13T16:34:10.000+0100}, title = {Globalization, Polarization and Cultural Drift}, uri = {papers://C3B117CD-23C4-4854-9426-AC96AFB113DA/Paper/p80}, url = {www.imedea.uib.es/~victor/Cult/global.pdf}, volume = 29, year = 2005 }