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Authoritative: http://dx.doi.org/10.1016/j.endm.2005.07.002   (Publisher's PDF... likely be available here.)

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Abstract

We study a model for language evolution which was introduced by Nowak and Krakauer ([M.A. Nowak and D.C. Krakauer, The evolution of language, PNAS 96 (14) (1999) 8028-8033]). We analyze discrete distance spaces and prove a conjecture of Nowak for all metrics with a positive semidefinite associated matrix. This natural class of metrics includes all metrics studied by different authors in this connection. In particular it includes all ultra-metric spaces. Furthermore, the role of feedback is explored and multi-user scenarios are studied. In all models we give lower and upper bounds for the fitness.

@article{ahlswede05NowakInformationTheoryModel,
  author={Rudolf Ahlswede and Erdal Arikan and Lars Baumer and Christian Deppe},
  title={Information theoretic models in language evolution},
  journal={Electronic Notes in Discrete Mathematics},
  year={2005},
  month={August},
  volume={21},
  pages={97-100},
  doi={10.1016/j.endm.2005.07.002},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/ahlswede05NowakInformationTheoryModel.html}
}