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Small-world topology and memory effects on decision time in opinion dynamics

Author

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  • Guzmán-Vargas, L.
  • Hernández-Pérez, R.

Abstract

Using the Sznajd-Weron model as a starting point, we analyzed the effect on the statistical properties of this model under changes in the connectivity of the network and under the introduction of memory to the units, as well as by introducing a communication error that influences the way a unit adopts its state: whether from the model rules or at random. We used the synchronous update to analyze and discuss the effects of the above mentioned changes on the statistical properties of the model, such as both distributions of relaxation times and decision times.

Suggested Citation

  • Guzmán-Vargas, L. & Hernández-Pérez, R., 2006. "Small-world topology and memory effects on decision time in opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(2), pages 326-332.
    • Handle: RePEc:eee:phsmap:v:372:y:2006:i:2:p:326-332
    DOI: 10.1016/j.physa.2006.08.010
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    References listed on IDEAS

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    1. F. Slanina & H. Lavicka, 2003. "Analytical results for the Sznajd model of opinion formation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 35(2), pages 279-288, September.
    2. Alessandro Pluchino & Vito Latora & Andrea Rapisarda, 2005. "Changing Opinions In A Changing World: A New Perspective In Sociophysics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 515-531.
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    4. A. S. Elgazzar, 2001. "Application Of The Sznajd Sociophysics Model To Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(10), pages 1537-1544.
    5. 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.
    6. Elgazzar, A.S., 2003. "Applications of small-world networks to some socio-economic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 402-407.
    7. Katarzyna Sznajd-Weron, 2005. "Sznajd model and its applications," HSC Research Reports HSC/05/04, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
    8. Laxmidhar Behera & Frank Schweitzer, 2003. "On Spatial Consensus Formation: Is The Sznajd Model Different From A Voter Model?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(10), pages 1331-1354.
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