Replicator-mutator equation, universality property and population dynamics of learning.

@article{Komarova2004ReplicatormutatorEU,
  title={Replicator-mutator equation, universality property and population dynamics of learning.},
  author={Natalia L. Komarova},
  journal={Journal of theoretical biology},
  year={2004},
  volume={230 2},
  pages={227-39}
}
Replicator-mutator equation is used to describe the dynamics of complex adaptive systems in population genetics, biochemistry and models of language learning. We study "localized", or "coherent", solutions, which are especially relevant in the context of learning and correspond to the existence of a predominant language in the population. There is a coherence threshold for learning fidelity, above which coherent communication can be maintained. We prove the following surprising universality… CONTINUE READING
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