Microscopic Abrams–Strogatz model of language competition

Microscopic Abrams–Strogatz model of language competition

The differential equation of Abrams and Strogatz for the competition between two languages is compared with agent-based Monte Carlo simulations for fully connected networks as well as for lattices in one, two and three dimensions, with up to 10 9 agents. In the case of socially equivalent languages,...

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Bibliographic Details
Published in:Physica A 2007-02, Vol.374 (2), p.835-842
Main Authors: Stauffer, Dietrich, Castelló, Xavier, Eguíluz, Víctor M., San Miguel, Maxi
Format: Article
Language:eng
Subjects:
Language competition
Monte Carlo
Online Access:Get full text
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Summary:The differential equation of Abrams and Strogatz for the competition between two languages is compared with agent-based Monte Carlo simulations for fully connected networks as well as for lattices in one, two and three dimensions, with up to 10 9 agents. In the case of socially equivalent languages, agent-based models and a mean-field approximation give grossly different results.
ISSN:0378-4371
1873-2119