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Baronchelli, A. and Loreto, V. (2008) In-depth analysis of the naming game dynamics: The homogeneous mixing case. International Journal of Modern Physics C, 19(5):785--812.
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   URL: http://arxiv.org/pdf/0803.0398v1

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   Authoritative: http://dx.doi.org/10.1142/S0129183108012522   (Publisher's PDF... likely be available here.)
   Source: http://arxiv.org/abs/0803.0398
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Abstract

Language emergence and evolution have recently gained growing attention through multi-agent models and mathematical frameworks to study their behavior. Here we investigate further the Naming Game, a model able to account for the emergence of a shared vocabulary of form-meaning associations through social/cultural learning. Due to the simplicity of both the structure of the agents and their interaction rules, the dynamics of this model can be analyzed in great detail using numerical simulations and analytical arguments. This paper first reviews some existing results and then presents a new overall understanding.

Keywords: cultural evolution; language self-organization; social interaction; emergence of consensus; statistical physics

BibTex
@article{baronchelli08namingGame,
  author={Andrea Baronchelli and Vittorio Loreto},
  title={In-depth analysis of the naming game dynamics: The homogeneous mixing case},
  journal={International Journal of Modern Physics C},
  year={2008},
  month={May},
  volume={19},
  number={5},
  pages={785-812},
  doi={10.1142/S0129183108012522},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/baronchelli08namingGame.html},
  keywords={cultural evolution; language self-organization; social interaction; emergence of consensus; statistical physics}
}