Globalization, polarization and cultural drift

Konstantin Klemm; Víctor M. Eguíluz; Raúl Toral; Maxi San Miguel

doi:10.1016/j.jedc.2003.08.005

Globalization, polarization and cultural drift

Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San Miguel

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

73 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	321-334
Number of pages	14
Journal	Journal of Economic Dynamics and Control
Volume	29
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jedc.2003.08.005
Publication status	Published - Jan 2005

Keywords

Agent-based models
Culture dynamics
Noise

ASJC Scopus subject areas

Economics and Econometrics
Control and Optimization
Applied Mathematics

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10.1016/j.jedc.2003.08.005

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title = "Globalization, polarization and cultural drift",

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 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.",

keywords = "Agent-based models, Culture dynamics, Noise",

author = "Konstantin Klemm and Egu{\'i}luz, {V{\'i}ctor M.} and Ra{\'u}l Toral and {San Miguel}, Maxi",

note = "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.",

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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

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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.

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KW - Noise

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