ANALYTICAL APPROACH TO BIT-STRING MODELS OF LANGUAGE EVOLUTION

Damián H. Zanette

6 citations0/0 files storedInternational Journal of Modern Physics C

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Language and cultural evolution Evolution and Genetic Dynamics Evolutionary Game Theory and Cooperation

Abstract

A formulation of bit-string models of language evolution, based on differential equations for the population speaking each language, is introduced and preliminarily studied. Connections with replicator dynamics and diffusion processes are pointed out. The stability of the dominance state, where most of the population speaks a single language, is analyzed within a mean-field-like approximation, while the homogeneous state, where the population is evenly distributed among languages, can be studied. This analysis discloses the existence of a bistability region, where dominance coexists with homogeneity as possible asymptotic states. Numerical resolution of the differential system validates these findings.

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1998Evolutionary Games and Population Dynamics 2003Least effort and the origins of scaling in human language 1983Replicator dynamics 2003Modelling the dynamics of language death 1999The evolution of language 2001Evolution of Universal Grammar 2004Replicator–mutator equation, universality property and population dynamics of learning 1994Physical Approaches to Biological Evolution

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