Microscopic Abrams–Strogatz model of language competition

2006/03/06 by Dietrich Stauffer, Xavier Castelló, Xavier Castello +4 · 2 citations
Physics and Astronomy · Social Sciences · #Evolutionary Game Theory and Cooperation #Language and cultural evolution #Opinion Dynamics and Social Influence #physics.comp-ph

paper · pdf · doi:10.1016/j.physa.2006.07.036

published as Physica A 374, 835-842 (2007) · 10 pages, 7 figures

arxiv created 2006/03/06 · openalex publication_date 2006/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The differential equations of Abrams and Strogatz for the competition between two languages are 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 10⁹ agents.

Citations

• Vertical and horizontal transmission in language evolution
• Voter model dynamics in complex networks: Role of dimensionality, disorder, and degree distribution
• Conservation laws for the voter model in complex networks
• Binary and multivariate stochastic models of consensus formation

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