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Consensus formation simulation in a social network modeling controversial opinion dynamics with pairwise interactions

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  • María G. Medina-Guevara

    (Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno, Jalisco, Mexico)

  • Jorge E. Macías-Díaz

    (#x2020;Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20131, Mexico)

  • Armando Gallegos

    (Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno, Jalisco, Mexico)

  • Héctor Vargas-Rodríguez

    (Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno, Jalisco, Mexico)

Abstract

In this work, we consider a system of coupled finite-difference equations which incorporates a variety of opinion formation models, and use it to describe the dynamics of opinions on controversial subjects. The social network consists of a finite number of agents with pairwise interactions at discrete times. Meanwhile, the opinion of each agent is updated following a general nonlinear law which considers parameters identified as the personal constants of each of the members. We establish conditions that guarantee the existence of global attracting points (strong consensus) and intervals (weak consensus). Moreover, we note that these conditions are independent of the weight matrix and the number of agents of the network. Two particular scenarios are investigated numerically in order to confirm the validity of the analytical results.

Suggested Citation

  • María G. Medina-Guevara & Jorge E. Macías-Díaz & Armando Gallegos & Héctor Vargas-Rodríguez, 2017. "Consensus formation simulation in a social network modeling controversial opinion dynamics with pairwise interactions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 1-18, May.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:05:n:s0129183117500589
    DOI: 10.1142/S0129183117500589
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