@Article{Komarova2003,
  author   = {Natalia L Komarova and Martin A Nowak},
  journal  = {J Theor Biol},
  title    = {Language dynamics in finite populations.},
  year     = {2003},
  number   = {3},
  pages    = {445-57},
  volume   = {221},
  abstract = {Any mechanism of language acquisition can only learn a restricted
	set of grammars. The human brain contains a mechanism for language
	acquisition which can learn a restricted set of grammars. The theory
	of this restricted set is universal grammar (UG). UG has to be sufficiently
	specific to induce linguistic coherence in a population. This phenomenon
	is known as "coherence threshold". Previously, we have calculated
	the coherence threshold for deterministic dynamics and infinitely
	large populations. Here, we extend the framework to stochastic processes
	and finite populations. If there is selection for communicative function
	(selective language dynamics), then the analytic results for infinite
	populations are excellent approximations for finite populations;
	as expected, finite populations need a slightly higher accuracy of
	language acquisition to maintain coherence. If there is no selection
	for communicative function (neutral language dynamics), then linguistic
	coherence is only possible for finite populations.},
  keywords = {Human, Language Development, Models, Psychological, Statistical, Psycholinguistics, 12642119},
}

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