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Schelling-voter model: An application to language competition

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  • Caridi, Inés
  • Nemiña, Francisco
  • Pinasco, Juan P.
  • Schiaffino, Pablo

Abstract

In this work we analyze the language competition problem by using an interacting agent-based model which interpolates the classical Schelling and Voter models. Briefly, an agent may change its place of residence or his language when he is surrounded by more individuals of the other kind than the ones he can tolerate. We analyze this dynamic process in terms of the free space to move in, the pressure to change the language, and the propensity to change location. We identify the different regimes and the relationship with the language competition problem.

Suggested Citation

  • Caridi, Inés & Nemiña, Francisco & Pinasco, Juan P. & Schiaffino, Pablo, 2013. "Schelling-voter model: An application to language competition," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 216-221.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:216-221
    DOI: 10.1016/j.chaos.2013.08.013
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    References listed on IDEAS

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    1. L. Gauvin & J. Vannimenus & J.-P. Nadal, 2009. "Phase diagram of a Schelling segregation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(2), pages 293-304, July.
    2. Patriarca, Marco & Heinsalu, Els, 2009. "Influence of geography on language competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 174-186.
    3. Daniel M. Abrams & Steven H. Strogatz, 2003. "Modelling the dynamics of language death," Nature, Nature, vol. 424(6951), pages 900-900, August.
    4. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
    5. Pinasco, J.P. & Romanelli, L., 2006. "Coexistence of Languages is possible," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 355-360.
    6. 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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    Cited by:

    1. Michael Boissonneault & Paul Vogt, 2021. "A systematic and interdisciplinary review of mathematical models of language competition," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-12, December.

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