Microscopic Abrams-Strogatz model of language competition
Eguíluz, Víctor M.
San Miguel, Maxi
- Publisher: Elsevier
Monte Carlo simulations | Language competition | Physics - Computational Physics
arxiv: Computer Science::Multiagent Systems
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.