Journal
JOURNAL OF ECONOMIC DYNAMICS & CONTROL
Volume 29, Issue 1-2, Pages 321-334Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jedc.2003.08.005
Keywords
agent-based models; culture dynamics; noise
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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. (C) 2004 Elsevier B.V. All rights reserved.
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