Analytical approach to bit-string models of language evolution

@article{Zanette2007AnalyticalAT,
  title={Analytical approach to bit-string models of language evolution},
  author={Dami{\'a}n H. Zanette},
  journal={CoRR},
  year={2007},
  volume={abs/0711.1360}
}
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… CONTINUE READING

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