Mathematical Models and Computer Simulations

, Volume 10, Issue 2, pp 249–254 | Cite as

Simulation of the “Power–Society–Economics” System with Elements of Corruption Based on Cellular Automata

  • M. E. Stepantsov


This paper presents a modification of the stochastic cellular automaton-based version of the “power–society–economics” model that describes the dynamics of power distribution in a hierarchy taking into account social and economic processes and corruption in the system of power. This approach allows the model to incorporate a number of new factors, including transport communications among municipalities and regions. The basic principles of the model are presented, a simulation system is constructed, and a number of numeric experiments unimplementable with a continuous deterministic model are conducted. Some new results are obtained, including the relationship between the power dynamics and corruption level, as well as the influence of the transport network on the dynamics of the system.


power–society system economics corruption cellular automata numerical experiment and simulation 


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  1. 1.
    A. P. Mikhailov, “Mathematical modelling of power distribution dynamics in hierarchical structures,” Mat. Model. 6 (6), 108–138 (1994).Google Scholar
  2. 2.
    A. P. Mikhailov, Modeling of the System 'Power–Society’ (Fizmatlit, Moscow, 2006) [in Russian].Google Scholar
  3. 3.
    A. P. Mikhailov, “The model of corrupt power hierarchies,” Mat. Model. 11 (1), 3–19 (1999).MathSciNetGoogle Scholar
  4. 4.
    M. G. Dmitriev, G. S. Joukova, and A. P. Petrov, “Asymptotic analysis of the 'authority–society' model in case of two stable authority profiles,” Mat. Model. 16 (5), 23–34 (2004).MathSciNetGoogle Scholar
  5. 5.
    A. P. Mikhailov and D. F. Lankin, “The structures of power hierarchies,” Math. Models Comput. Simul. 2, 200–210 (2010).MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    M. G. Dmitriev, A. A. Pavlov, and A. P. Petrov, “The 'power–society–economy' model with a slightly corrupt discrete hierarchy,” Mat. Model. 24 (2), 120–128 (2012).MathSciNetzbMATHGoogle Scholar
  7. 7.
    A. P. Petrov and M. E. Stepantsov, “Simulation of three-tier system 'power–society' based on cellular automata,” Mat. Model. 28 (3), 119–132 (2016).MathSciNetzbMATHGoogle Scholar
  8. 8.
    M. E. Stepantsov, “A possible modification of the discrete mathematical model of transport network dynamics,” Komp’yut. Issled. Model. 5, 395–401 (2013).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Keldysh Institute of Applied MathematicsRussian Academy of SciencesMoscowRussia

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