ANALYTICAL APPROACH TO BIT-STRING MODELS OF LANGUAGE EVOLUTION

Damián H. Zanette ()
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Damián H. Zanette: Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400 San Carlos de Bariloche, Río Negro, Argentina

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 04, 569-581

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.

Keywords: Language evolution; replicator dynamics; diffusion; 87.23.Ge; 87.23.Kg; 05.45.-a (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012340

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