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Gallagher index for sociophysical models

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  • Gwizdalla, Tomasz M.

Abstract

The use of physical formalism and methods as a tool for the analysis of sociological problems became popular since the papers of Galam or Stauffer, followed by the authors of some interesting models, based often on the study of cellular automata evolution. In this paper we are going to deduce some characteristics concerning the results of elections on the basis of the multi-opinion Sznajd model. The values of interest are: Gallagher index, measuring the disproportionality of elections; the efficiency of election process measured with the possibility of government creation and government stability. The results show that it is possible to obtain some well known effects even using quite a simple model of social behaviour and that different methods of votes counting respond to different needs formulated as the aim of elections.

Suggested Citation

  • Gwizdalla, Tomasz M., 2008. "Gallagher index for sociophysical models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2937-2951.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:12:p:2937-2951
    DOI: 10.1016/j.physa.2008.01.028
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    References listed on IDEAS

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    1. Gallagher, Michael, 1992. "Comparing Proportional Representation Electoral Systems: Quotas, Thresholds, Paradoxes and Majorities," British Journal of Political Science, Cambridge University Press, vol. 22(4), pages 469-496, October.
    2. Szwabiński, Janusz & Pe¸kalski, Andrzej, 2006. "Effects of random habitat destruction in a predator–prey model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(1), pages 59-70.
    3. Galam, Serge, 2004. "The dynamics of minority opinions in democratic debate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 56-62.
    4. Chen, Kan & Bak, Per, 2003. "Emergence of complex dissipative structures in the Bak–Chen–Tang forest fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 256-261.
    5. Turcotte, Donald L & Malamud, Bruce D, 2004. "Landslides, forest fires, and earthquakes: examples of self-organized critical behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(4), pages 580-589.
    6. Katarzyna Sznajd-Weron & Józef Sznajd, 2000. "Opinion Evolution In Closed Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
    7. Sznajd-Weron, Katarzyna & Sznajd, Józef, 2005. "Who is left, who is right?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 593-604.
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    1. Sznajd-Weron, Katarzyna & Sznajd, Józef & Weron, Tomasz, 2021. "A review on the Sznajd model — 20 years after," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).

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    Keywords

    Sociophysics; Sznajd model;

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