Information Theoretic Models in Language Evolution

  • R. Ahlswede
  • E. Arikan
  • L. Bäumer
  • C. Deppe
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4123)


We study a model for language evolution which was introduced by Nowak and Krakauer ([12]). 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.


Language Evolution Distance Space Noisy Channel Ultrametric Space Weight Enumerator 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • R. Ahlswede
    • 1
  • E. Arikan
    • 2
  • L. Bäumer
    • 1
  • C. Deppe
    • 1
  1. 1.Fakultät für MathematikUniversität BielefeldBielefeldGermany
  2. 2. 

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