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Modelling Opinion Dynamics and Language Change: Two Faces of the Same Coin

  • Jérôme MichaudEmail author
Conference paper
Part of the Studies in Computational Intelligence book series (SCI, volume 882)

Abstract

While opinion dynamics models and language change models seem to be very different at first sight, we demonstrate in this paper that they are more similar than they look like. Here, we analyse the similarities and differences between the Social Influence with Recurrent Mobility model (Phys. Rev. Lett. 112, 158701) and the Utterance Selection Model of language change (Phys. Rev. E 73, 046118), two models that simulate a stochastic dynamics on a complex network, and show that their mesoscopic dynamic is strikingly similar. By drawing an analogy between the two models, we discuss possibilities of cross-fertilization of research between the two problems.

Keywords

Social Influence with Recurrent Mobility Utterance Selection Model Stochastic dynamics on network Mesoscopic approximation Stochastic differential equation Multiplicative noise 

References

  1. 1.
    Baxter, G.J., Blythe, R.A., Croft, W., McKane, A.J.: Utterance selection model of language change. Phys. Rev. E 73(4), 046118 (2006).  https://doi.org/10.1103/PhysRevE.73.046118CrossRefGoogle Scholar
  2. 2.
    Baxter, G.J., Blythe, R.A., Croft, W., McKane, A.J.: Modeling language change: an evaluation of Trudgill’s theory of the emergence of New Zealand English. Lang. Var. Change 21(02), 257–296 (2009).  https://doi.org/10.1017/S095439450999010XCrossRefGoogle Scholar
  3. 3.
    Baxter, G.J., Croft, W.: Modeling language change across the lifespan: individual trajectories in community change. Lang. Var. Change 28(02), 129–173 (2016).  https://doi.org/10.1017/S0954394516000077CrossRefGoogle Scholar
  4. 4.
    Blythe, R.A., McKane, A.J.: Stochastic models of evolution in genetics, ecology and linguistics. J. Stat. Mech: Theory Exp. 2007(07), P07018 (2007).  https://doi.org/10.1088/1742-5468/2007/07/P07018CrossRefzbMATHGoogle Scholar
  5. 5.
    Fernández-Gracia, J., Suchecki, K., Ramasco, J.J., San Miguel, M., Eguíluz, V.M.: Is the voter model a model for voters? Phys. Rev. Lett. 112, 158701 (2014).  https://doi.org/10.1103/PhysRevLett.112.158701CrossRefGoogle Scholar
  6. 6.
    Fisher, R.A.: The Genetical Theory of Natural Selection. Clarendon Press, Oxford (1930)CrossRefGoogle Scholar
  7. 7.
    Holley, R.A., Liggett, T.M.: Ergodic theorems for weakly interacting infinite systems and the voter model. Ann. Probab. 3(4), 643–663 (1975).  https://doi.org/10.1214/aop/1176996306MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Michaud, J.: Dynamic preferences and self-actuation of changes in language dynamics. Lang. Dyn. Change 1, 61–103 (2019).  https://doi.org/10.1163/22105832-00901003CrossRefGoogle Scholar
  9. 9.
    Michaud, J.: Continuous time limits of the utterance selection model. Phys. Rev. E 95, 022308 (2017).  https://doi.org/10.1103/PhysRevE.95.022308CrossRefGoogle Scholar
  10. 10.
    Michaud, J., Szilva, A.: Social influence with recurrent mobility and multiple options. Phys. Rev. E 97, 062313 (2018).  https://doi.org/10.1103/PhysRevE.97.062313CrossRefGoogle Scholar
  11. 11.
    Stadler, K., Blythe, R.A., Smith, K., Kirby, S.: Momentum in language change. Lang. Dyn. Change 6(2), 171–198 (2016).  https://doi.org/10.1163/22105832-00602005CrossRefGoogle Scholar
  12. 12.
    Wright, S.: Evolution in mendelian populations. Genetics 16(2), 97 (1931)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of SociologyUppsala UniversityUppsalaSweden

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