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A Modified Galam's Model

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  • 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.

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File URL: http://virgo.unive.it/wpideas/storage//2008wp180.pdf
File Function: First version, 2008
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Bibliographic Info

Paper provided by Department of Applied Mathematics, Università Ca' Foscari Venezia in its series Working Papers with number 180.

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Length: 15 pages
Date of creation: Nov 2008
Date of revision:
Handle: RePEc:vnm:wpaper:180

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Keywords: Word-of-mouth process; information spreading; agent based simulation;

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  1. 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.
  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.
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