Skip to main content
SpringerLink
Log in

Dynamic models of conflicts. III. Hierarchical games

  • System Analysis and Operations Research
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

The present paper concludes the series of three papers reviewing the models of dynamic conflicts. Interaction of unequal players was analyzed, and the principle of getting the maximal guaranteed result was used as the basic principle for rational behavior of the leading player.

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. Gorelov, M.A. and Kononenko, A.F., Dynamical Conflict Models. I. Language of Modeling, Autom. Remote Control, 2014, vol. 75, no. 11, pp. 1996–2013.

    Article  Google Scholar 

  2. Gorelov, M.A. and Kononenko, A.F., Dynamic Models of Conflicts. II. Equilibria, Autom. Remote Control, 2014, vol. 75, no. 12, pp. 2135–2151.

    Article  Google Scholar 

  3. Germeier, Yu.B., Igry s neprotivopolozhnymi interesami (Games with Noncontradictory Interests), Moscow: Nauka, 1976.

    Google Scholar 

  4. Vatel’, I.A. and Ereshko, F.I., Matematika konflikta i sotrudnichestva (Mathematics of Conflict and Cooperation), Moscow: Znanie, 1973.

    Google Scholar 

  5. Gorelik, V.A. and Kononenko, A.F., Teoretiko-igrovye modeli prinyatiya reshenii v ekologo-ekonomicheskikh sistemakh (Game-theoretical Models of Decision Making in the Ecologo-Economic Systems), Moscow: Radio i Svyaz’, 1982.

    Google Scholar 

  6. Gorelik, V.A., Gorelov, M.A., and Kononenko, A.F., Analiz konfliktnykh situatsii v sistemakh upravleniya (Analysis of Conflict Situations in Control Systems), Moscow: Radio i Svyaz’, 1991.

    Google Scholar 

  7. Burkov, V.N., Osnovy teorii aktivnykh sistem (Fundamentals of Theory of Active Systems), Moscow: Nauka, 1977.

    Google Scholar 

  8. Burkov, V.N. and Novikov, D.A., Teoriya aktivnykh sistem: sostoyanie i perspektivy (Theory of Active Systems: State-of-the-Art and Outlooks), Moscow: Sinteg, 1999.

    Google Scholar 

  9. Novikov, D.A., Teoriya upravleniya organizatsionnymi sistemami (Theory of Control of Organization Systems), Moscow: MPSI, 2005.

    Google Scholar 

  10. Novikov, D.A., Smirnov, I.M., and Shokhina, T.E., Mekhanizmy upravleniya dinamicheskimi aktivnymi sistemami (Mechanisms of Control of Active Dynaic Systems), Moscow: Inst. Probl. Upravlen., 2002.

    Google Scholar 

  11. von Stackelberg, H., The Theory of the Market Economy, Oxford: Oxford Univ. Press, 1952.

    Google Scholar 

  12. Basar, T. and Olsder, G.J., Dynamic Noncooperative Game Theory, Philadelphia: SIAM, 1999.

    MATH  Google Scholar 

  13. Germeier, Yu.B., On Two-person Games with Fixed Move Sequewnce, Dokl. Akad. Nauk SSSR, 1971, vol. 198, no. 5, pp. 1001–1004.

    MathSciNet  Google Scholar 

  14. Gorelov, M.A., Maximal Guaranteed Result for Limited Volume of Transmitted Information, Autom. Remote Control, 2011, vol. 72, no. 3, pp. 580–599.

    Article  MATH  MathSciNet  Google Scholar 

  15. Kukushkin, N.S. and Morozov, V.V., Teoriya neantagonisticheskikh igr (Theory of Nonantagonistic Games), Moscow: Mosk. Gos. Univ., 1984.

    MATH  Google Scholar 

  16. Arnol’d, V.I., Teoriya katastrof (Theory of Catastrophes), Moscow: Nauka, 1990.

    MATH  Google Scholar 

  17. Gorelik, V.A., Dynamic Systems with Hierachical Structure of Control, Kibernetika, 1978, no. 3, pp. 106–109.

    Google Scholar 

  18. Danilchenko, T.N. and Kononenko A.F., Dynamic Models of Hierarchical Control Systems with Information Transfer. II, Probl. Control Inf. Theory, 1984, vol. 13, no. 3, pp. 121–139.

    MATH  MathSciNet  Google Scholar 

  19. Danilchenko, T.N. and Kononenko, A.F., Dynamic Models of Hierarchical Control Systems with Information Transfer. I, Probl. Control Inf. Theory, 1984, vol. 13, no. 2, pp. 53–68.

    MathSciNet  Google Scholar 

  20. Danilchenko, T.N. and Kononenko, A.F., Dynamic Decision Making Models in Hierarchical Systems, in Sovremennoe sostoyanie teorii issledovaniya operatsii (Operations Research Theory: State-of-the-Art), Moscow: Nauka, 1979, pp. 18–44.

    Google Scholar 

  21. Kononenko, A.F., On Multistep Conflicts with Information Exchange, Zh. Vychisl. Mat. Mat. Fiz., 1977, no. 4, pp. 922–931.

    Google Scholar 

  22. Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., and Mishchenko, E.F., Matematicheskaya teoriya optimal’nykh protsessov (Mathematical Theory of Optimal Processes), Moscow: Nauka, 1983.

    MATH  Google Scholar 

  23. Aliev, V.S., Dynamic Two-person Games with Fixed Move Sequence under Aggregated Information about the Current System State, in Neantagonisticheskie differentsial’nye igry i ikh prilozheniya (Nonantagonistic Differential Games and Their Applications), Moscow: VZMI, 1986, pp. 63–71.

    Google Scholar 

  24. Gorelov, M.A. and Kononenko, A.F., Games with Forbidden Situations. Models with Hard Constraints, Autom. Remote Control, 2010, vol. 71, no. 1, pp. 105–115.

    Article  MATH  MathSciNet  Google Scholar 

  25. Gorelov, M.A. and Kononenko, A.F., Games with Forbidden Situations. Models with Soft Constraints, Autom. Remote Control, 2010, vol. 71, no. 5, pp. 826–836.

    Article  MATH  MathSciNet  Google Scholar 

  26. Moulin, H., Théorie des jeux pour l’économie et la politique, Paris: Hermann, 1981. Translated under the title Teoriya igr s primerami iz matematicheskoi ekonomiki, Moscow: Mir, 1985

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dorodnicyn Computing Centre, Russian Academy of Sciences, Moscow, Russia

    M. A. Gorelov & A. F. Kononenko

Authors
  1. M. A. Gorelov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. F. Kononenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. A. Gorelov.

Additional information

Original Russian Text © M.A. Gorelov, A.F. Kononenko, 2015, published in Avtomatika i Telemekhanika, 2015, No. 2, pp. 89–106.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gorelov, M.A., Kononenko, A.F. Dynamic models of conflicts. III. Hierarchical games. Autom Remote Control 76, 264–277 (2015). https://doi.org/10.1134/S000511791502006X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S000511791502006X

Keywords

Search

Navigation