Skip to main content
SpringerLink
Log in

Consensus in Social Networks of Compound Nodes

  • Large Scale Systems Control
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Opinion dynamics in network structures of special type are considered. Each node consists of two agents interacting with each other. The properties of consensus arising in such structures are studied using the DeGroot model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Agaev, R.P. and Chebotarev, P.Yu., Convergence and Stability in Characteristic Coordination Problems, Upravlen. Bol’sh. Sist., 2010, vol. 30, no. 1, pp. 470–505.

    Google Scholar 

  2. Agaev, R.P. and Chebotarev, P.Yu., The ProjectionMethod for Reaching Consensus and the Regularized Power Limit of a Stochastic Matrix, Autom. Remote Control, 2011, vol. 72, no. 12, pp. 2458–2476.

    Article  MathSciNet  MATH  Google Scholar 

  3. Gubanov, D.A., Novikov, D.A., and Chkhartishvili, A.G., Sotsial’nye seti: modeli informatsionnogo vliyaniya, upravleniya i protivoborstva (Social Networks: Models of Informational Influence, Control and Contagion), Moscow: Fizmatlit, 2010.

    Google Scholar 

  4. Zuev, A.S. and Fedyanin, D.N., Models of Opinion Control for Agents in Social Networks, Autom. Remote Control, 2012, vol. 73, no. 10, pp. 1753–1764.

    Article  MathSciNet  MATH  Google Scholar 

  5. Fedyanin, D.N. and Chkhartishvili, A.G., A Model of Informational Control in Active Network Structures in Case of an Incomplete Awareness of the Principal, Autom. Remote Control, 2013, vol. 74, no. 12, pp. 2155–2162.

    Article  MathSciNet  Google Scholar 

  6. Shiryaev, A.N., Veroyatnost’ (Probability), Moscow: Mosk. Tsentr Nepreryvn. Mat. Obrazovan., 2004, vols. 1,2.

  7. Berger, R.L., A Necessary and Sufficient Condition for Reaching a Consensus Using DeGroot’s Method, J. Am. Statist. Assoc., 1981, vol. 76, pp. 415–418.

    Article  MathSciNet  MATH  Google Scholar 

  8. DeGroot, M.H., Reaching a Consensus, J. Am. Statist. Assoc., 1974, no. 69, pp. 118–121.

    Article  MATH  Google Scholar 

  9. Friedkin, N.E. and Johnsen, E.C., Social Influence Networks and Opinion Change, Adv. Group Proces., 1999, no. 16, pp. 1–29.

    Google Scholar 

  10. Golub, B. and Jackson, M.O., Naive Learning in Social Networks and the Wisdom of Crowds, Am. Econom. J.: Microeconomics, February, 2010, vol. 2, no. 1, pp. 112–149.

    Google Scholar 

  11. Hegselmann, R. and Krause, U., Opinion Dynamics and Bounded Confidence Models, Analysis, and Simulation, J. Artific. Soc. Soc. Simulat. (JASSS), 2002, vol. 5, no. 3, pp. 1–33.

    Google Scholar 

  12. Jackson, M., Social and Economic Networks, Princeton: Princeton Univ. Press, 2008.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    D. N. Fedyanin & A. G. Chkhartishvili

Authors
  1. D. N. Fedyanin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. G. Chkhartishvili
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. N. Fedyanin.

Additional information

Original Russian Text © D.N. Fedyanin, A.G. Chkhartishvili, 2016, published in Upravlenie Bol’shimi Sistemami, 2016, No. 64, pp. 137–150.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fedyanin, D.N., Chkhartishvili, A.G. Consensus in Social Networks of Compound Nodes. Autom Remote Control 79, 1117–1124 (2018). https://doi.org/10.1134/S0005117918060103

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117918060103

Keywords

Search

Navigation