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URL: http://www.iop.org/EJ/article/1367-2630/...18/njp9_2_023018.pdf

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Authoritative: http://dx.doi.org/10.1088/1367-2630/11/2/023018   (Publisher's PDF... likely be available here.)

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Abstract

We introduce a simple open-ended model that describes the emergence of a shared vocabulary. The ordering transition toward consensus is generated only by an agreement mechanism. This interaction defines a finite and small number of states, despite each individual having the ability to invent an unlimited number of new words. The existence of a phase transition is studied by analyzing the convergence times, the cognitive efforts of the agents and the scaling behavior in memory and time.

@article{brigatti09sharedVocabulary,
  author={E. Brigatti and I. Roditi},
  title={Conventions spreading in open-ended systems},
  journal={New Journal of Physics},
  year={2009},
  month={Feb 11},
  volume={11},
  number={023018},
  doi={10.1088/1367-2630/11/2/023018},
  url={http://groups.lis.illinois.edu/amag/langev/paper/brigatti09sharedVocabulary.html}
}