Modeling two-language competition dynamics

Abstract

During the last decade, much attention has been paid to language competition in the complex systems community, that is, how the fractions of speakers of several competing languages evolve in time. In this paper we review recent advances in this direction and focus on three aspects. First we consider the shift from two-state models to three state models that include the possibility of bilingual individuals. The understanding of the role played by bilingualism is essential in sociolinguistics. In particular, the question addressed is whether bilingualism facilitates the coexistence of languages. Second, we will analyze the effect of social interaction networks and physical barriers. Finally, we will show how to analyze the issue of bilingualism from a game theoretical perspective.

15 pages, 5 figures; published in the Special Issue of Advances in Complex Systems "Language Dynamics"

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• Biased-voter model: how persuasive a small group can be?
• Fragmentation transition in a coevolving network with link-state dynamics
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• Predicting language diversity with complex network
• A Bird's-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference
• Modeling competitive evolution of multiple languages
• Axelrod's Model with Surface Tension
• Modeling language ideologies for the dynamics of languages in contact
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• Learning thresholds lead to stable language coexistence
• The role of zealots in the spread of linguistic traits