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General Theory of Information Transfer and Combinatorics pp 769–787Cite as

Information Theoretic Models in Language Evolution

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4123))

Abstract

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.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Universitätsstr. 25, 33615, Bielefeld, Germany

    R. Ahlswede, L. Bäumer & C. Deppe

  2.  

    E. Arikan

Authors
  1. R. Ahlswede
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  2. E. Arikan
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  3. L. Bäumer
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  4. C. Deppe
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Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, 100131, 33501, Bielefeld, Germany

    Rudolf Ahlswede

  2. Fakultät für Mathematik, Universität Bielefeld, Universitätsstr. 25, 33615, Bielefeld, Germany

    Lars Bäumer , Ning Cai , Harout Aydinian  & Christian Deppe , ,  & 

  3. Russian Academy of Sciences Institute of Problems of Information Transmission, Bol’shoi Karetnyi per. 19, 101447, Moscow, Russia

    Vladimir Blinovsky

  4. Universität Bielefeld, Fakultät für Mathematik, Universitätsstr. 25, 33615, Bielefeld, Germany

    Haik Mashurian

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© 2006 Springer-Verlag Berlin Heidelberg

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Ahlswede, R., Arikan, E., Bäumer, L., Deppe, C. (2006). Information Theoretic Models in Language Evolution. In: Ahlswede, R., et al. General Theory of Information Transfer and Combinatorics. Lecture Notes in Computer Science, vol 4123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11889342_49

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  • DOI: https://doi.org/10.1007/11889342_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46244-6

  • Online ISBN: 978-3-540-46245-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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