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Plotkin, J. B. and Nowak, M. A. (2000) Language evolution and information theory. Journal of Theoretical Biology, 205(1):147--159.
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   Authoritative: http://dx.doi.org/10.1006/jtbi.2000.2053   (Publisher's PDF... likely be available here.)
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Abstract

This paper places models of language evolution within the framework of information theory. We study how signals become associated with meaning. If there is a probability of mistaking signals for each other, then evolution leads to an error limit: increasing the number of signals does not increase the fitness of a language beyond a certain limit. This error limit can be overcome by word formation: a linear increase of the word length leads to an exponential increase of the maximum fitness. We develop a general model of word formation and demonstrate the connection between the error limit and Shannon's noisy coding theorem.
BibTex
@article{plotkin00languageEvolution,
  author={J. B. Plotkin and M. A. Nowak},
  title={Language evolution and information theory},
  journal={Journal of Theoretical Biology},
  year={2000},
  volume={205},
  number={1},
  pages={147-159},
  doi={10.1006/jtbi.2000.2053},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/plotkin00languageEvolution.html}
}


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