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A Modified Galam's Model

Author

Listed:
  • Andrea Ellero

    (Department of Applied Mathematics, University of Venice)

  • Giovanni Fasano

    (Department of Applied Mathematics, University of Venice)

  • Annamaria Sorato

    (Department of Applied Mathematics, University of Venice)

Abstract

In this paper we analyze the stochastic model proposed by Galam in [2], for information spreading in a `word-of-mouth' process among agents, based on a majority rule. Using the communications rules among agents defined in [2], we first perform simulations of the `word-of-mouth' process and compare the results with the theoretical values predicted by Galam's model. Since some dissimilarities arise in particular when a small number of agents is considered, we suggest some enhancements by introducing a new parameter dependent model. We propose a modified Galam's scheme which is asymptotically coincident with the original model in [2]. Furthermore, for relatively small values of the parameter, we provide a numerical experience proving that the modified model often outperforms the original one, in terms of efficiency.

Suggested Citation

  • Andrea Ellero & Giovanni Fasano & Annamaria Sorato, 2008. "A Modified Galam's Model," Working Papers 180, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    • Handle: RePEc:vnm:wpaper:180
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    References listed on IDEAS

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    1. Tal Garber & Jacob Goldenberg & Barak Libai & Eitan Muller, 2004. "From Density to Destiny: Using Spatial Dimension of Sales Data for Early Prediction of New Product Success," Marketing Science, INFORMS, vol. 23(3), pages 419-428, August.
    2. Goldenberg, J & Libai, B & Solomon, S & Jan, N & Stauffer, D, 2000. "Marketing percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 335-347.
    3. Galam, Serge & Jacobs, Frans, 2007. "The role of inflexible minorities in the breaking of democratic opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 366-376.
    4. Galam, Serge, 2003. "Modelling rumors: the no plane Pentagon French hoax case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 571-580.
    5. Serge Galam, 2008. "Sociophysics: A Review Of Galam Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 409-440.
    6. Galam, Serge & Vignes, Annick, 2005. "Fashion, novelty and optimality: an application from Physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 605-619.
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    Cited by:

    1. Han, Shuo & Zhuang, Fuzhen & He, Qing & Shi, Zhongzhi & Ao, Xiang, 2014. "Energy model for rumor propagation on social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 99-109.
    2. Tian, Ru-Ya & Zhang, Xue-Fu & Liu, Yi-Jun, 2015. "SSIC model: A multi-layer model for intervention of online rumors spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 181-191.

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    More about this item

    Keywords

    Word-of-mouth process; information spreading; agent based simulation;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General

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