TY - JOUR
T1 - Globalization, polarization and cultural drift
AU - Klemm, Konstantin
AU - Eguíluz, Víctor M.
AU - Toral, Raúl
AU - San Miguel, Maxi
N1 - Funding Information:
We acknowledge financial support from MCyT (Spain) and FEDER (EU) through Projects BFM2000-1108, BFM2001-0341-C02-01 and BFM2002-04474-C02-01. We thank Damon Centola (Cornell University) for a very careful reading of the manuscript.
PY - 2005/1
Y1 - 2005/1
N2 - 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.
AB - 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.
KW - Agent-based models
KW - Culture dynamics
KW - Noise
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U2 - 10.1016/j.jedc.2003.08.005
DO - 10.1016/j.jedc.2003.08.005
M3 - Article
AN - SCOPUS:11444253427
VL - 29
SP - 321
EP - 334
JO - Journal of Economic Dynamics and Control
JF - Journal of Economic Dynamics and Control
SN - 0165-1889
IS - 1-2
ER -