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Modeling Two-Language Competition Dynamics

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  • M. PATRIARCA

    (IFISC, Instituto de Física Interdisciplinary, Sistemas Complejos (CSIC-UIB), E-07122 Palma de Mallorca, Spain;
    National Institute of Chemical Physics and Biophysics, Rävala 10, 15042 Tallinn, Estonia)

  • X. CASTELLÓ

    (IFISC, Instituto de Física Interdisciplinary, Sistemas Complejos (CSIC-UIB), E-07122 Palma de Mallorca, Spain)

  • J. R. URIARTE

    (Universidad del Pais Vasco-Euskal Herriko Unibertsitatea, Departamento de Fundamentos del Análisis Económico I, Ekonomi Analisiaren Oinarriak I Saila, 48015 Bilbao, Spain)

  • V. M. EGUÍLUZ

    (IFISC, Instituto de Física Interdisciplinar, y Sistemas Complejos (CSIC-UIB), E-07122 Palma de Mallorca, Spain)

  • M. SAN MIGUEL

    (IFISC, Instituto de Física Interdisciplinar, y Sistemas Complejos (CSIC-UIB), E-07122 Palma de Mallorca, Spain)

Abstract

During the last decade, much attention has been paid to language competition in the complex systems community, that is, how the fractions of speakers of several competing languages evolve in time. In this paper, we review recent advances in this direction and focus on three aspects. First, we consider the shift from two-state models to three-state models that include the possibility of bilingual individuals. The understanding of the role played by bilingualism is essential in sociolinguistics. In particular, the question addressed is whether bilingualism facilitates the coexistence of languages. Second, we will analyze the effect of social interaction networks and physical barriers. Finally, we will show how to analyze the issue of bilingualism from a game theoretical perspective.

Suggested Citation

  • M. Patriarca & X. Castelló & J. R. Uriarte & V. M. Eguíluz & M. San Miguel, 2012. "Modeling Two-Language Competition Dynamics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(03n04), pages 1-24.
    • Handle: RePEc:wsi:acsxxx:v:15:y:2012:i:03n04:n:s0219525912500488
    DOI: 10.1142/S0219525912500488
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    References listed on IDEAS

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    1. João M. C. Santos Silva & Frank Windmeijer, 2002. "Microeconometrics: Editors’ introduction," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 1(2), pages 89-90, August.
    2. ., 2006. "Physical and Social Indicators," Chapters, in: Middle East Oil Exporters, chapter 5, Edward Elgar Publishing.
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    Cited by:

    1. Czaplicka, Agnieszka & Charalambous, Christos & Toral, Raul & San Miguel, Maxi, 2022. "Biased-voter model: How persuasive a small group can be?," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Juan Pablo Pinasco & Mauro Rodríguez Cartabia & Nicolas Saintier, 2018. "A Game Theoretic Model of Wealth Distribution," Dynamic Games and Applications, Springer, vol. 8(4), pages 874-890, December.

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