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Viability and Resilience of Languages in Competition

Author

Listed:
  • Laetitia Chapel
  • Xavier Castelló
  • Claire Bernard
  • Guillaume Deffuant
  • Víctor M Eguíluz
  • Sophie Martin
  • Maxi San Miguel

Abstract

We study the viability and resilience of languages, using a simple dynamical model of two languages in competition. Assuming that public action can modify the prestige of a language in order to avoid language extinction, we analyze two cases: (i) the prestige can only take two values, (ii) it can take any value but its change at each time step is bounded. In both cases, we determine the viability kernel, that is, the set of states for which there exists an action policy maintaining the coexistence of the two languages, and we define such policies. We also study the resilience of the languages and identify configurations from where the system can return to the viability kernel (finite resilience), or where one of the languages is lead to disappear (zero resilience). Within our current framework, the maintenance of a bilingual society is shown to be possible by introducing the prestige of a language as a control variable.

Suggested Citation

  • Laetitia Chapel & Xavier Castelló & Claire Bernard & Guillaume Deffuant & Víctor M Eguíluz & Sophie Martin & Maxi San Miguel, 2010. "Viability and Resilience of Languages in Competition," PLOS ONE, Public Library of Science, vol. 5(1), pages 1-11, January.
    • Handle: RePEc:plo:pone00:0008681
    DOI: 10.1371/journal.pone.0008681
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    References listed on IDEAS

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    1. Christian Schulze & Dietrich Stauffer, 2005. "Monte Carlo Simulation Of The Rise And The Fall Of Languages," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 781-787.
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    3. Stauffer, Dietrich & Castelló, Xavier & Eguíluz, Víctor M. & San Miguel, Maxi, 2007. "Microscopic Abrams–Strogatz model of language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 835-842.
    4. Patriarca, Marco & Leppänen, Teemu, 2004. "Modeling language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 296-299.
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