Skip to main content
SpringerLink
Log in

Stochastic models of mob control

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

Abstract

This paper explores the following model of agents’ threshold behavior. Making binary decisions (choosing between “activity” and “passivity”), agents consider the choice of other members in a group. We formulate and solve an associated control problem, i.e., the random choice problem for the initial states of some agents in order to vary the number of agents preferring “passivity” in an equilibrium.

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. Batov, A.V., Breer, V.V., Novikov, D.A., et al., Macro- and Micromodels of Social Networks: Identification and Simulational Experiments, Probl. Upravlen., 2014, no. 6, pp. 45–51.

    Google Scholar 

  2. Bukharin, S.N. and Tsyganov, V.V., Metody i tekhnologii informatsionnykh voin (Methods and Technologies of Information Warfare), Moscow: Akademicheskii Proekt, 2007.

    Google Scholar 

  3. Breer, V.V., Models of Conformity Behavior (Review), Probl. Upravlen., 2014, no. 1, pp. 2–13. no. 2, pp. 2–17.

    Google Scholar 

  4. Breer, V.V., and Novikov, D.A., and Rogatkin, A.D., Macro- and Micromodels of Social Networks: Theory, Probl. Upravlen., 2014, no. 5, pp. 28–33.

    Google Scholar 

  5. Grachev, G. and Mel’nik, I., Manipulirovanie lichnost’yu. Organizatsiya, sposoby i tekhnologii informatsionno- psikhologicheskogo vozdeistviya (Manipulation of Personality: The Organization, Methods and Technologies of Information and Psychological Impact), Moscow: Inst. Philosofii RAN, 1999.

    Google Scholar 

  6. Gubanov, D.A., Kalashnikov, A.O., and Novikov, D.A., Game-theoretic Models of Informational Confrontation in Social Networks, Autom. Remote Control, 2011, vol. 72, no. 9, pp. 2001–2008.

    Article  MATH  Google Scholar 

  7. 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 

  8. Zimbardo, P.G. and Leippe, M.R., The Psychology of Attitude Change and Social Influence, New York: McGraw-Hill, 1991. Translated under the title Sotsial’noe vliyanie, St. Petersburg: Piter, 2000.

    Google Scholar 

  9. Myers, D.G., Social Psychology, New York: McGraw-Hill, 1983. Translated under the title Sotsial’naya psikhologiya, St. Petersburg: Piter, 2002.

    Google Scholar 

  10. Moulin, H., Axioms of Cooperative Decision Making, Cambridge: Cambridge Univ. Press, 1988. Translated under the title Kooperativnoe prinyatie reshenii: aksiomy i modeli, Moscow: Mir, 1991.

    MATH  Google Scholar 

  11. Novikov, D.A., Games and Networks, Mat. Teor. Igr Ee Pril., 2010, vol. 2, no. 1, pp. 107–124.

    MATH  Google Scholar 

  12. Novikov, D.A., Models of Network Excitation Control, in Proc. XII All-Russian Conf. on Control Sciences, Moscow: Inst. Probl. Upravlen., 2014, pp. 2014–6314.

    Google Scholar 

  13. Pocheptsov, G.G., Informatsionno-psikhologicheskaya voina (Information-Psychological War), Moscow: Sinteg, 2000.

    Google Scholar 

  14. Cialdini, R.B., Influence: Science and Practice, Glenview: Scott, Foresman, 1988. Translated under the title Psikhologiya vliyaniya, St. Petersburg: Piter, 2001.

    Google Scholar 

  15. Sheinov, V.P., Skrytoe upravlenie chelovekom (psikhologiya manipulirovaniya) (Hidden Management of a Person. Psychology of Manipulation), Moscow: AST, 2002.

    Google Scholar 

  16. Shiryaev, A.N., Veroyatnost’. Uch. pos. dlya vuzov (Probability. Textbook for Universities), Moscow: Nauka, 1989.

    Google Scholar 

  17. Barabanov, I.N., Korgin, N.A., Novikov, D.A., and Chkhartishvili, A.G., Dynamic Models of Informational Control in Social Networks, Autom. Remote Control, 2010, vol. 71, no. 11, pp. 2417–2426.

    Article  MathSciNet  MATH  Google Scholar 

  18. Breer, V.V., A Game-theoretic Model of Non-anonymous Threshold Conformity Behavior, Autom. Remote Control, 2012, vol. 73, no. 7, pp. 1256–1264.

    Article  MathSciNet  MATH  Google Scholar 

  19. Breer, V.V. and Novikov, D.A., Models of Mob Control, Autom. Remote Control, 2013, vol. 74, no. 12, pp. 2143–2154.

    Article  MathSciNet  Google Scholar 

  20. Germeier, Yu., Non-antagonistic Games, Boston: D. Reidel, 1986.

    Google Scholar 

  21. Granovetter, M., Threshold Models of Collective Behavior, Am. J. Sociol., 1978, vol. 83, no. 6, pp. 1420–1443.

    Article  Google Scholar 

  22. Kirman, A., Ants, Rationality and Recruitment, Quart. J. Econom., 1993, vol. 108, no. 1, pp. 137–156.

    Article  Google Scholar 

  23. Novikov, D.A. and Chkhartishvili, A.G., Reflexion and Control: Mathematical Models, London: CRC Press, 2014.

    MATH  Google Scholar 

  24. Novikov, D.A., “Cognitive Games”: A Linear Impulse Model, Autom. Remote Control, 2010, vol. 71, no. 4, pp. 718–730.

    Article  MATH  Google Scholar 

  25. Novikov, D.A., Theory of Control in Organizations, New York: Nova Science, 2013.

    Google Scholar 

  26. Schelling, T.C., Micromotives and Macrobehavior, New York: Norton, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    V. V. Breer, D. A. Novikov & A. D. Rogatkin

  2. Moscow Institute of Physics and Technology, Dolgoprudny, Russia

    D. A. Novikov

Authors
  1. V. V. Breer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. A. Novikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. D. Rogatkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. V. Breer.

Additional information

Original Russian Text © V.V. Breer, D.A. Novikov, A.D. Rogatkin, 2014, published in Upravlenie Bol’shimi Sistemami, 2014, No. 52, pp. 85–117.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Breer, V.V., Novikov, D.A. & Rogatkin, A.D. Stochastic models of mob control. Autom Remote Control 77, 895–913 (2016). https://doi.org/10.1134/S000511791605012X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S000511791605012X

Keywords

Search

Navigation