Microscopic Abrams-Strogatz model of language competition
Authored by Victor M. Eguiluz, Maxi San Miguel, Xavier Castello, Dietrich Stauffer
Date Published: 2007-02-01
DOI: 10.1016/j.physa.2006.07.036
Sponsors:
Cultura
Spanish Ministry of Education (Ministerio de Educación)
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Model Documentation:
Other Narrative
Mathematical description
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Abstract
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. (c) 2006 Elsevier B.V. All rights reserved.
Tags
language competition
Monte Carlo