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Sznajd Model And Proportional Elections: The Role Of The Topology Of The Network

Author

Listed:
  • FABIO STUCCHI VANNUCCHI

    (Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, SP, Brazil)

  • CARMEN P. C. PRADO

    (Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05314-970 São Paulo, SP, Brazil)

Abstract

The Sznajd model (SM) has been employed with success in the last years to describe opinion propagation in a community. In particular, it has been claimed that its transient is able to reproduce some scale properties observed in data of proportional elections, in different countries, if the community structure (the network) is scale-free. In this work, we investigate the properties of the transient of a particular version of the SM, introduced by Bernardes and co-authors in 2002. We studied the behavior of the model in networks of different topologies through the time evolution of an order parameter known asinterface density, and concluded that regular lattices with high dimensionality also leads to a power-law distribution of the number of candidates withvvotes. Also, we show that the particular absorbing state achieved in the stationary state (or else, the winner candidate), is related to a particular feature of the model, that may not be realistic in all situations.

Suggested Citation

  • Fabio Stucchi Vannucchi & Carmen P. C. Prado, 2009. "Sznajd Model And Proportional Elections: The Role Of The Topology Of The Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(06), pages 979-990.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:06:n:s0129183109014102
    DOI: 10.1142/S0129183109014102
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    Cited by:

    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).
    2. Yan Wan & Baojun Ma & Yu Pan, 2018. "Opinion evolution of online consumer reviews in the e-commerce environment," Electronic Commerce Research, Springer, vol. 18(2), pages 291-311, June.

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