Simplicity from complexity: Emergence of cohesion in the evolutionary dynamics of grammar networks

Yoosook Lee, Travis C. Collier, Charles E. Taylor, Reza Olfati-Saber

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Question: Under what conditions will a group of adaptive, communicating agents converge on a single language, and when will there instead be a multiplicity of languages? This is sometimes termed the 'Tower of Babel problem', and is similar to those addressed in Slobodkin's book on simplicity and complexity. Features of the model: Agents learn to speak a language from those around them locally, or from those with whom they communicate. Learning fidelity can vary, as can connectedness. Populations of learning agents are simulated and the equilibrium properties deduced. Range of key variables: Populations of agents are arranged in a regular ring lattice, with varying degrees of connectivity. Languages are not all equally related, as studied in the past, but rather some languages are more closely related than others. Conclusions: If a grammar has limited mutational transitions to other grammars, one expects three, rather than two, distinctive grammar distributions at equilibrium. In line with previous studi s, our model exhibits a bifurcation from the symmetric state, where all grammars are in equal frequency, to an asymmetric state under dense grammar networks. However, different patterns of convergence, including a weak cohesion phase where the distribution of grammar frequencies is roughly Gaussian and centred on the most frequent grammar, emerge in more sparse grammar networks. Weak cohesion is of particular interest from an adaptation standpoint, since there is both linguistic coherence and standing heritable variation.

Original languageEnglish (US)
Pages (from-to)433-445
Number of pages13
JournalEvolutionary Ecology Research
Volume11
Issue number3
StatePublished - Mar 1 2009
Externally publishedYes

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cohesion
learning
bifurcation
connectivity
distribution

Keywords

  • Evolutionary dynamics
  • Grammar networks
  • Language evolution

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

Cite this

Simplicity from complexity : Emergence of cohesion in the evolutionary dynamics of grammar networks. / Lee, Yoosook; Collier, Travis C.; Taylor, Charles E.; Olfati-Saber, Reza.

In: Evolutionary Ecology Research, Vol. 11, No. 3, 01.03.2009, p. 433-445.

Research output: Contribution to journalArticle

Lee, Yoosook ; Collier, Travis C. ; Taylor, Charles E. ; Olfati-Saber, Reza. / Simplicity from complexity : Emergence of cohesion in the evolutionary dynamics of grammar networks. In: Evolutionary Ecology Research. 2009 ; Vol. 11, No. 3. pp. 433-445.
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