Boundary effects in a three-state modified voter model for languages

Hadzibeganovic, Tarik and Stauffer, Dietrich and Schulze, Christian (2007) Boundary effects in a three-state modified voter model for languages. [Preprint]

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The standard three-state voter model is enlarged by including the outside pressure favouring one of the three language choices and by adding some biased internal random noise. The Monte Carlo simulations are motivated by states with the population divided into three groups of various affinities to each other. We show the crucial influence of the boundaries for moderate lattice sizes like 500 x 500. By removing the fixed boundary at one side, we demonstrate that this can lead to the victory of one single choice. Noise in contrast stabilizes the choices of all three populations. In addition, we compute the persistence probability, i.e., the number of sites who have never changed their opinion during the simulation, and we consider the case of ”rigid-minded” decision makers.

Item Type:Preprint
Keywords:Monte Carlo simulation, opinion dynamics, language choice
Subjects:Computer Science > Language
Computer Science > Statistical Models
Linguistics > Computational Linguistics
Psychology > Social Psychology > Social simulation
Psychology > Cognitive Psychology
ID Code:5911
Deposited By:Hadzibeganovic, Tarik
Deposited On:27 Jan 2008 03:55
Last Modified:11 Mar 2011 08:57

References in Article

Select the SEEK icon to attempt to find the referenced article. If it does not appear to be in cogprints you will be forwarded to the paracite service. Poorly formated references will probably not work.

[1] B. Jones, B. Radcliff, C. Taber, R. Timpone, Am. Political Sci. Rev. 89, 137 (1995).

[2] W. Richards, B.D. McKay, J. Math. Psy. 46, 338 (2002).

[3] M. Lim, R. Metzler, Y. Bar-Yam, Science 317, 1540 (2007).

[4] T. Hadzibeganovic, D. Stauffer, C. Schulze, ”Political vs. linguistic factors in competition between Southeast-European languages: The challenges of computational models”. To be submitted to J. Multiling. Multicultural


[5] S. Mønnesland, Bosnisk, kroatisk, serbisk, in: Standardsprak underveis

- Historien til atte orientalske og østeuropeiske sprak. Unipub forlag, Oslo, 2004, pp. 41-62.

[6] S. Mønnesland, Abstracts of the 11th Intl. Conf. Minority Lang. (ICML 11), p. 39 (2007).

[7] A.I. Houston, J.M. McNamara, M.D. Steer, Biology Lett. 3, 365 (2007).

[8] G. Deffuant, D. Neau, F. Amblard, G. Weisbuch, Adv. Compl. Syst. 3, 87 (2000). G. Deffuant, F. Amblard, G. Weisbuch, T. Faure, Journal of Artificial Societies and Social Simulation 5, issue 4, paper 1 ( (2002). G. Weisbuch, Eur. Phys. J. B 38, 339 (2004); F. Amblard and G. Deffuant, Physica A 343, 725 (2004).

[9] R. Hegselmann, U. Krause, Journal of Artificial Societies and Social Simulation 5, issue 3, paper 2 ( (2002). U. Krause,

p.37 in: Modellierung und Simulation von Dynamiken mit vielen interagierenden

Akteuren, ed. by U. Krause, M. Stockler, Bremen University,

Jan. 1997.

[10] K. Sznajd-Weron, J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000).

[11] R. Axelrod, J. Conflict Resolut. 41, 203 (1997).

[12] M. San Miguel, V.M. Egu´ıluz, R. Toral, Computing Sci. Engin 7, 67 (Nov/Dec 2005)

[13] C. Schulze, Int. J. Mod. Phys. C 14, 95 (2003) and 15, 569 (2004); K.Sznajd-Weron and R. Weron, Physica A 324, 437 (2003).

[14] C. Schulze, Int. J. Mod. Phys. C 16, 351 (2005)

[15] Y.-F. Hsu, M. Regenwetter, J.-C. Falmagne, J. Math. Psy. 49, 276 (2005).

[16] E. Ben-Naim. L.Frachebourg and P.L. Krapivsky, Physl Rev. E 53, 3078 (1996); M. Howard and C. Godreche, J. Phys. A 31, L 209) (1998); J.M. Drouffe and C. Godreche, ibid 32, 249 (1999).

[17] M. T. Ullman, Nature Rev. Neurosci. 2, 717 (2001).

[18] F. Crick, C. Koch, Nature Neurosci. 6, 119 (2003).

[19] D.A. Kahneman, Am. Psychologist 58, 697 (2003).

[20] D. Abrams, S.H. Strogatz, Nature 424, 900 (2003).

[21] J. Mira, A. Paredes, Europhys. Lett. 69, 1031 (2005).

[22] M. Ehala, in: Historical Linguistics Volume II: Germanic Linguistics, edited by R.M. Hogg and L. van Bergen. Current Issues in Linguistic Theory 162. Amsterdam and Philadelphia, 1998. pp. 73-88.

[23] A.Y. Aikhenvald, in: The Amazonian Languages, edited by R.M.W. Dixon and A.Y. Aikhenvald, Cambridge University Press, Cambridge 1999, pp. 385-415.

[24] J.C.R. Alcantud, J. Math. Psy. 46, 418 (2002).

[25] P. Niyogi, The Computational Nature of Language Learning and Evolution. Cambridge and London: The MIT Press 2006.

[26] C. Schulze, D. Stauffer, S. Wichmann, Comm. Comput. Phys. 3, 271 (2007).

[27] T. Gong, W.S.Y. Wang, Language and Linguistics 6, 1 (2005); J. W.Minett, W.S.Y. Wang, Lingua, in press (2007); J. Ke, T. Gong, W.S.Y.Wang, Comm. Comput. Phys., in press.


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