IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v15y2004i01ns0129183104005577.html
   My bibliography  Save this article

Opinion Formation On A Deterministic Pseudo-Fractal Network

Author

Listed:
  • M. C. GONZÁLEZ

    (Institute for Computer Applications 1 (ICA1), University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany)

  • A. O. SOUSA

    (Institute for Computer Applications 1 (ICA1), University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany)

  • H. J. HERRMANN

    (Institute for Computer Applications 1 (ICA1), University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany)

Abstract

The Sznajd model of socio-physics, with only a group of people sharing the same opinion can convince their neighbors, is applied to a scale-free random network modeled by a deterministic graph. We also study a model for elections based on the Sznajd model and the exponent obtained for the distribution of votes during the transient agrees with those obtained for real elections in Brazil and India. Our results are compared to those obtained using a Barabási–Albert scale-free network.

Suggested Citation

  • M. C. González & A. O. Sousa & H. J. Herrmann, 2004. "Opinion Formation On A Deterministic Pseudo-Fractal Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 45-57.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:01:n:s0129183104005577
    DOI: 10.1142/S0129183104005577
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183104005577
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183104005577?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. -, 2001. "Статистический Раздел," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 5(3), pages 425-455.
    2. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
    3. -, 2001. "Статистический Раздел," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 5(4), pages 591-621.
    4. -, 2001. "Статистический Раздел," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 5(1), pages 124-154.
    5. -, 2001. "Статистический Раздел," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 5(2), pages 262-292.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christian Borghesi & Jean-Claude Raynal & Jean-Philippe Bouchaud, 2012. "Election Turnout Statistics in Many Countries: Similarities, Differences, and a Diffusive Field Model for Decision-Making," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-12, May.
    2. Volker Hösel & Johannes Müller & Aurelien Tellier, 2019. "Universality of neutral models: decision process in politics," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-8, December.
    3. 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.
    4. 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).
    5. Cardoso, M. & Souza, J.T.G. & Neli, R.R. & Souza, W.E., 2023. "Scaling laws from Brazilian state election results point out that, the candidate’s chance to win increases by investing more campaign efforts in smaller electorates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    6. Galesic, Mirta & Stein, D.L., 2019. "Statistical physics models of belief dynamics: Theory and empirical tests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 275-294.
    7. Cardoso, M. & Silva, L.M.C. & Neli, R.R. & Souza, W.E., 2022. "Electorate involvement disorder: Universal relationship between the amplitude and electorate size in second round of Brazilian Presidential Election," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    8. Catherine A. Glass & David H. Glass, 2021. "Social Influence of Competing Groups and Leaders in Opinion Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 58(3), pages 799-823, October.
    9. Cardoso, M. & Afonso, L.H.D. & Neli, R.R. & Souza, W.E., 2024. "Simplified model relating blank and null votes to voter turnout from Brazilian state elections results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    10. Gaudiano, Marcos E. & Revelli, Jorge A., 2019. "Spontaneous emergence of a third position in an opinion formation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 501-511.
    11. Cardoso, M. & Mendes, R.S. & Souza, J.T.G. & Ribeiro, H.V., 2020. "Gender difference in candidature processes for Brazilian elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

    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. Ya-Chun Gao & Zong-Wen Wei & Bing-Hong Wang, 2013. "Dynamic Evolution Of Financial Network And Its Relation To Economic Crises," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(02), pages 1-10.
    2. Zhou, Wei-Xing & Jiang, Zhi-Qiang & Sornette, Didier, 2007. "Exploring self-similarity of complex cellular networks: The edge-covering method with simulated annealing and log-periodic sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 741-752.
    3. Bezsudnov, I.V. & Snarskii, A.A., 2014. "From the time series to the complex networks: The parametric natural visibility graph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 53-60.
    4. Mark S. Handcock & Adrian E. Raftery & Jeremy M. Tantrum, 2007. "Model‐based clustering for social networks," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 170(2), pages 301-354, March.
    5. Wang, Qingyun & Duan, Zhisheng & Chen, Guanrong & Feng, Zhaosheng, 2008. "Synchronization in a class of weighted complex networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5616-5622.
    6. F. W. S. Lima, 2015. "Evolution of egoism on semi-directed and undirected Barabási-Albert networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(12), pages 1-9.
    7. G. Ghoshal & M. E.J. Newman, 2007. "Growing distributed networks with arbitrary degree distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 58(2), pages 175-184, July.
    8. Chang, Y.F. & Han, S.K. & Wang, X.D., 2018. "The way to uncover community structure with core and diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 111-119.
    9. Chakrabarti, Anindya S., 2015. "Stochastic Lotka-Volterra equations: A model of lagged diffusion of technology in an interconnected world," IIMA Working Papers WP2015-08-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
    10. Roth, Camille, 2007. "Empiricism for descriptive social network models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(1), pages 53-58.
    11. Douglas R. White & Jason Owen-Smith & James Moody & Walter W. Powell, 2004. "Networks, Fields and Organizations: Micro-Dynamics, Scale and Cohesive Embeddings," Computational and Mathematical Organization Theory, Springer, vol. 10(1), pages 95-117, May.
    12. L. da F. Costa & L. E.C. da Rocha, 2006. "A generalized approach to complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 237-242, March.
    13. Perc, Matjaž, 2010. "Zipf’s law and log-normal distributions in measures of scientific output across fields and institutions: 40 years of Slovenia’s research as an example," Journal of Informetrics, Elsevier, vol. 4(3), pages 358-364.
    14. Florian Blöchl & Fabian J. Theis & Fernando Vega-Redondo & Eric O'N. Fisher, 2010. "Which Sectors of a Modern Economy are most Central?," CESifo Working Paper Series 3175, CESifo.
    15. A. Chatterjee, 2009. "Kinetic models for wealth exchange on directed networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(4), pages 593-598, February.
    16. Z.-Q. Jiang & L. Guo & W.-X. Zhou, 2007. "Endogenous and exogenous dynamics in the fluctuations of capital fluxes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(3), pages 347-355, June.
    17. D Dylan Johnson Restrepo & Neil F Johnson, 2017. "Unraveling the Collective Dynamics of Complex Adaptive Biomedical Systems," Current Trends in Biomedical Engineering & Biosciences, Juniper Publishers Inc., vol. 8(5), pages 118-132, September.
    18. A. Santiago & J. P. Cárdenas & M. L. Mouronte & V. Feliu & R. M. Benito, 2008. "Modeling The Topology Of Sdh Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(12), pages 1809-1820.
    19. Marc Barthélémy & Michele Campagna & Alessandro Chessa & Andrea De Montis & Alessandro Vespignani, 2005. "Emergent topological and dynamical properties of a real inter-municipal commuting network - perspectives for policy-making and planning," ERSA conference papers ersa05p607, European Regional Science Association.
    20. L. Dall'Asta, 2007. "Dynamic exploration of networks: from general principles to the traceroute process," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(1), pages 123-133, November.

    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:wsi:ijmpcx:v:15:y:2004:i:01:n:s0129183104005577. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.