IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v94y2021i1d10.1140_epjb_s10051-021-00047-5.html
   My bibliography  Save this article

Opinion evolution in the presence of constant propaganda: homogeneous and localized cases

Author

Listed:
  • María Cecilia Gimenez

    (IFEG (CONICET), FaMAF (Universidad Nacional de Córdoba))

  • Luis Reinaudi

    (INFIQC (CONICET), Facultad de Ciencias Químicas (Universidad Nacional de Córdoba))

  • Ana Pamela Paz-García

    (IIPsi (CONICET), Facultad de Psicología (Universidad Nacional de Córdoba))

  • Paulo Marcelo Centres

    (Universidad Nacional de San Luis, CONICET)

  • Antonio José Ramirez-Pastor

    (Universidad Nacional de San Luis, CONICET)

Abstract

The opinion evolution of a group of agents arranged in a square lattice in the presence of external constant propaganda is studied. The contagion between agents is modeled according to the voter model, but the effect of external propaganda and a social temperature is also considered. At a first stage, the influence of the contagion probability, the temperature, and the value of the propaganda are analyzed for a homogeneous application of this last parameter. An analytical expression was found for the stationary state in some cases. Also, the effect of the spatial location of the propaganda is analyzed, where it is applied only to a subset of agents. The random distribution of agents affected by the propaganda was found to be the most effective, while for the case of distribution in patches and stripes, it depends on their size. Graphic abstract

Suggested Citation

  • María Cecilia Gimenez & Luis Reinaudi & Ana Pamela Paz-García & Paulo Marcelo Centres & Antonio José Ramirez-Pastor, 2021. "Opinion evolution in the presence of constant propaganda: homogeneous and localized cases," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(1), pages 1-11, January.
  • Handle: RePEc:spr:eurphb:v:94:y:2021:i:1:d:10.1140_epjb_s10051-021-00047-5
    DOI: 10.1140/epjb/s10051-021-00047-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-021-00047-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1140/epjb/s10051-021-00047-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rainer Hegselmann & Ulrich Krause, 2002. "Opinion Dynamics and Bounded Confidence Models, Analysis and Simulation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(3), pages 1-2.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    3. Guillaume Deffuant & Frederic Amblard & Gérard Weisbuch, 2002. "How Can Extremism Prevail? a Study Based on the Relative Agreement Interaction Model," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(4), pages 1-1.
    4. Guillaume Deffuant & David Neau & Frederic Amblard & Gérard Weisbuch, 2000. "Mixing beliefs among interacting agents," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 3(01n04), pages 87-98.
    5. Stauffer, Dietrich, 2004. "Introduction to statistical physics outside physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 1-5.
    6. Wio, Horacio S. & de la Lama, Marta S. & López, Juan M., 2006. "Contrarian-like behavior and system size stochastic resonance in an opinion spreading model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(1), pages 108-111.
    7. 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.
    8. Pablo Balenzuela & Juan Pablo Pinasco & Viktoriya Semeshenko, 2015. "The Undecided Have the Key: Interaction-Driven Opinion Dynamics in a Three State Model," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-21, October.
    9. 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.
    10. Gimenez, M.C. & Revelli, J.A. & Lama, M.S. de la & Lopez, J.M. & Wio, H.S., 2013. "Interplay between social debate and propaganda in an opinion formation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 278-286.
    11. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
    12. Gimenez, M. Cecilia & Paz García, Ana Pamela & Burgos Paci, Maxi A. & Reinaudi, Luis, 2016. "Range of interaction in an opinion evolution model of ideological self-positioning: Contagion, hesitance and polarization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 320-330.
    13. Ding, Fei & Liu, Yun & Shen, Bo & Si, Xia-Meng, 2010. "An evolutionary game theory model of binary opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1745-1752.
    14. Galam, Serge, 2004. "Contrarian deterministic effects on opinion dynamics: “the hung elections scenario”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 453-460.
    15. Galam, Serge, 1999. "Application of statistical physics to politics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 132-139.
    16. Sebastian Goncalves & M. F. Laguna & J. R. Iglesias, 2012. "Why, when, and how fast innovations are adopted," Papers 1208.2589, arXiv.org.
    17. Zhang, Jiangbo & Hong, Yiguang, 2013. "Opinion evolution analysis for short-range and long-range Deffuant–Weisbuch models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5289-5297.
    18. Crokidakis, Nuno, 2012. "Effects of mass media on opinion spreading in the Sznajd sociophysics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1729-1734.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gimenez, M. Cecilia & Paz García, Ana Pamela & Burgos Paci, Maxi A. & Reinaudi, Luis, 2016. "Range of interaction in an opinion evolution model of ideological self-positioning: Contagion, hesitance and polarization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 320-330.
    2. Tiwari, Mukesh & Yang, Xiguang & Sen, Surajit, 2021. "Modeling the nonlinear effects of opinion kinematics in elections: A simple Ising model with random field based study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    3. Fan, Kangqi & Pedrycz, Witold, 2016. "Opinion evolution influenced by informed agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 431-441.
    4. Agnieszka Kowalska-Styczeń & Krzysztof Malarz, 2020. "Noise induced unanimity and disorder in opinion formation," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-22, July.
    5. Quanbo Zha & Gang Kou & Hengjie Zhang & Haiming Liang & Xia Chen & Cong-Cong Li & Yucheng Dong, 2020. "Opinion dynamics in finance and business: a literature review and research opportunities," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 6(1), pages 1-22, December.
    6. Melatagia Yonta, Paulin & Ndoundam, René, 2009. "Opinion dynamics using majority functions," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 223-244, March.
    7. Fan, Kangqi & Pedrycz, Witold, 2015. "Emergence and spread of extremist opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 87-97.
    8. Calvelli, Matheus & Crokidakis, Nuno & Penna, Thadeu J.P., 2019. "Phase transitions and universality in the Sznajd model with anticonformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 518-523.
    9. Balankin, Alexander S. & Martínez Cruz, Miguel Ángel & Martínez, Alfredo Trejo, 2011. "Effect of initial concentration and spatial heterogeneity of active agent distribution on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3876-3887.
    10. Maciel, Marcelo V. & Martins, André C.R., 2020. "Ideologically motivated biases in a multiple issues opinion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    11. Pedraza, Lucía & Pinasco, Juan Pablo & Semeshenko, Viktoriya & Balenzuela, Pablo, 2023. "Mesoscopic analytical approach in a three state opinion model with continuous internal variable," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    12. Wang, Huanjing & Shang, Lihui, 2015. "Opinion dynamics in networks with common-neighbors-based connections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 180-186.
    13. Shang, Lihui & Zhao, Mingming & Ai, Jun & Su, Zhan, 2021. "Opinion evolution in the Sznajd model on interdependent chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    14. Lu, Xi & Mo, Hongming & Deng, Yong, 2015. "An evidential opinion dynamics model based on heterogeneous social influential power," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 98-107.
    15. Toth, Gabor & Galam, Serge, 2022. "Deviations from the majority: A local flip model," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    16. Song, Xiao & Shi, Wen & Tan, Gary & Ma, Yaofei, 2015. "Multi-level tolerance opinion dynamics in military command and control networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 322-332.
    17. AskariSichani, Omid & Jalili, Mahdi, 2015. "Influence maximization of informed agents in social networks," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 229-239.
    18. Wang, Chaoqian, 2021. "Opinion dynamics with bilateral propaganda and unilateral information blockade," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    19. Kurmyshev, Evguenii & Juárez, Héctor A. & González-Silva, Ricardo A., 2011. "Dynamics of bounded confidence opinion in heterogeneous social networks: Concord against partial antagonism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2945-2955.
    20. Si, Xia-Meng & Liu, Yun & Xiong, Fei & Zhang, Yan-Chao & Ding, Fei & Cheng, Hui, 2010. "Effects of selective attention on continuous opinions and discrete decisions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3711-3719.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:94:y:2021:i:1:d:10.1140_epjb_s10051-021-00047-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.