Abstract
This work attempts to give new theoretical insights into the absence of intermediate stages in the evolution of language. In particular, a mathematical model, based on automata networks, is proposed with the purpose to answer a crucial question: How a population of language users can reach agreement on linguistic conventions? To describe the appearance of drastic transitions in the development of language, an extremely simple model of working memory is adopted: at each time step, language users simply lose part of their word memories according to a forgetfulness parameter. Through computer simulations on low-dimensional lattices, sharp transitions at critical values of the parameter are described.
Notes
\(M_u \setminus \{x_u\}\) denotes the set \(M_u\) without the element \(x_u\).
\(\lfloor p(|M_u|-1)\rfloor\) means the largest integer lower than \(p(|M_u|-1)\).
References
Baddeley A. Working memory, thought, and action. Oxford psychology series. Oxford: Oxford University Press; 2007.
Baronchelli A, Felici M, Caglioti E, Loreto V, Steels L. Sharp transition towards shared vocabularies in multi-agent systems. J Stat Mech. 2006;P06014
Bickerton D. Language and species. Chicago: University of Chicago Press; 1990.
Fatès N. Asynchronism induces second-order phase transitions in elementary cellular automata. J Cell Autom. 2009;4(1):21–38.
Ferrer-i-Cancho R, Solé RV. Least effort and the origins of scaling in the human language. Proc Natl Acad Sci USA. 2003;100:788–91.
Hauser M. The evolution of communication. Bradford Books. MIT Press, Cambridge, MA (1996). https://books.google.cl/books?id=QbunyscCJBoC
Jackendoff R. Possible stages in the evolution of the language capacity. Trends Cogn Sci. 1999;3(7):272–9.
Regnault D, Schabanel N, Thierry E. Progresses in the analysis of stochastic 2d cellular automata: a study of asynchronous 2d minority. Theor Comput Sci. 2009;410(4749):4844–55. doi:10.1016/j.tcs.2009.06.024.
Steels L. A self-organizing spatial vocabulary. Artif Life. 1995;2(3):319–32.
Steels L. Modeling the cultural evolution of language. Phys Life Rev. 2011;8(4):339–56.
Steels L. Self-organizing vocabularies. In: Proceedings of artificial life V, Nara, Japan. Japan: Nara; 1996. p. 179–84
von Neumann J. Theory of self-reproducing automata. Champain: University of Illinois Press; 1966.
Wilson D, Sperber D. Relevance theory. In: Horn LR, Ward G, editors. Handbook of pragmatics. Oxford: Blackwell; 2004. p. 607–632.
Wolfram S. A new kind of science. UK: Wolfram Media; 2002.
Acknowledgments
The authors like to thank CONICYT-Chile under the Doctoral scholarship 21140288 (J.V.) and the Grants FONDECYT 11400090 (E.G.), ECOS BASAL-CMM (DIM, U. Chile) (E.G.), ECOS C12E05 (E.G.). Finally, the authors acknowledge to anonymous referees for useful commentaries.
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Javier Vera and Eric Goles declare that they have no conflict of interest.
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All procedures followed were in accordance with the ethical standards of the responsible committee on human experimentation (institutional and national) and with the Helsinki Declaration of 1975, as revised in 2008 (5). Additional informed consent was obtained from all patients for which identifying information is included in this article.
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This article does not contain any studies with human or animal subjects performed by the any of the authors.
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Vera, J., Goles, E. Automata Networks for Memory Loss Effects in the Formation of Linguistic Conventions. Cogn Comput 8, 462–466 (2016). https://doi.org/10.1007/s12559-015-9371-7
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DOI: https://doi.org/10.1007/s12559-015-9371-7