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de Jong, E. D. (2000) Attractors in the Development of Communication. In J.-A. Meyer and A. Berthoz and D. Floreano and H. Roitblat and S. Wilson, editors, SAB00. Honolulu, Hawaii: MIT Press.
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Attractors in the Development of Communication
Edwin D. de Jong
VUB AI Lab
edwin@arti.vub.ac.be
http://arti.vub.ac.be/¸edwin
Abstract The development of communication in a pop­ ulation of agents is viewed as the behavior of a dynamical system. A deterministic communica­ tion system is shown experimentally to have point attractors that correspond to perfect communica­ tion. However, the determinism required for the presence of point attractors impedes the develop­ ment of communication. A corresponding attrac­ tor type for the stochastic system is defined, and the existence of these attractors in a stochastic version of the system is demonstrated.
Introduction The development of communication in a population of agents can be viewed as the behavior of a dynamical system, see e.g. (Steels, 1997, Hashimoto, 1998). Here, an analysis based on this viewpoint is performed. It is demonstrated by perturbation experiments that a de­ terministic communication system has point attractors that correspond to perfect communication. However, the determinism that is required to satisfy the conditions of attractorhood hinders the spontaneous development of communication. The stochastic system is preferable in this respect, and has points playing the same role as the attractors in the deterministic system. However, the concept of an attractor has no mathematically rigid equivalent in stochastic systems 1 . Therefore, a modifi­ cation of the definition of a point attractor is used to analyze the behavior of the particular stochastic system at hand. The stochastic version of the system is shown to have attractors satisfying this definition, and to develop communication more reliably than the deterministic sys­ tem. Section 1. briefly describes the algorithm used by in­ dividual agents to adapt their communicative behavior. By a process of self­organization, the local adaptations defined by this algorithm lead to a globally coherent sys­ tem of communication. In section 2., a dynamical
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BibTex
@inproceedings{dejong00attractorsIn,
  author={E. D. de Jong},
  title={Attractors in the Development of Communication},
  year={2000},
  address={Honolulu, Hawaii},
  editor={J.-A. Meyer and A. Berthoz and D. Floreano and H. Roitblat and S. Wilson},
  publisher={MIT Press},
  booktitle={SAB00},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/dejong00attractorsIn.html}
}


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