IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v374y2007i2p835-842.html
   My bibliography  Save this article

Microscopic Abrams–Strogatz model of language competition

Author

Listed:
  • Stauffer, Dietrich
  • Castelló, Xavier
  • Eguíluz, Víctor M.
  • San Miguel, Maxi

Abstract

The differential equation of Abrams and Strogatz for the competition between two languages is compared with agent-based Monte Carlo simulations for fully connected networks as well as for lattices in one, two and three dimensions, with up to 109 agents. In the case of socially equivalent languages, agent-based models and a mean-field approximation give grossly different results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:2:p:835-842
    DOI: 10.1016/j.physa.2006.07.036
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106008181
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2006.07.036?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.
    2. Juan Carlos Bárcena‐Ruiz & Máximo Sedano, 2011. "Endogenous Timing In A Mixed Duopoly: Weighted Welfare And Price Competition," The Japanese Economic Review, Japanese Economic Association, vol. 62(4), pages 485-503, December.
    3. An, Zhecheng & Pan, Qiuhui & Yu, Guangying & Wang, Zhen, 2012. "The spatial distribution of clusters and the formation of mixed languages in bilingual competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4943-4952.
    4. Nagore Iriberri & José-Ramón Uriarte, 2012. "Minority language and the stability of bilingual equilibria," Rationality and Society, , vol. 24(4), pages 442-462, November.
    5. Sylvain Barde, 2012. "Of ants and voters: maximum entropy prediction and agent based models with recruitment," Post-Print hal-01071853, HAL.
    6. Peralta, Antonio F. & Khalil, Nagi & Toral, Raúl, 2020. "Ordering dynamics in the voter model with aging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).
    7. Nie, Lin-Fei & Teng, Zhi-Dong & Nieto, Juan J. & Jung, Il Hyo, 2015. "State impulsive control strategies for a two-languages competitive model with bilingualism and interlinguistic similarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 136-147.
    8. Hadzibeganovic, Tarik & Liu, Chao & Li, Rong, 2021. "Effects of reproductive skew on the evolution of ethnocentrism in structured populations with variable size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    9. Bakalis, Evangelos & Galani, Alexandra, 2012. "Modeling language evolution: Aromanian, an endangered language in Greece," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4963-4969.
    10. Torsten Templin, 2019. "A language competition model for new minorities," Rationality and Society, , vol. 31(1), pages 40-69, February.
    11. repec:hal:spmain:info:hdl:2441/f4rshpf3v1umfa09l8sao0qa3 is not listed on IDEAS
    12. Templin, Torsten & Seidl, Andrea & Wickström, Bengt-Arne & Feichtinger, Gustav, 2016. "Optimal language policy for the preservation of a minority language," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 8-21.
    13. Iriberri Etxebeste, Nagore & Uriarte Ayo, José Ramón, 2011. "Minority Language and the Stability of Bilingual Equilibria," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    14. 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.
    15. Owolabi, Kolade M. & Gómez-Aguilar, J.F., 2018. "Numerical simulations of multilingual competition dynamics with nonlocal derivative," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 175-182.
    16. repec:spo:wpmain:info:hdl:2441/f4rshpf3v1umfa09l8sao0qa3 is not listed on IDEAS

    More about this item

    Keywords

    Monte Carlo; Language competition;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:374:y:2007:i:2:p:835-842. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.