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Matem. Mod., 2016, Volume 28, Number 3, Pages 119–132 (Mi mm3714)  

This article is cited in 3 scientific papers (total in 3 papers)

Simulation of three-tier system "power-society" based on cellular automata

A. P. Petrovab, M. E. Stepantsovab

a Keldysh Institute of Applied Mathematics RAS
b National Research University Higher School of Economics

Abstract: In this paper we consider construction and primary research of the stochastic cellular automaton based version of the "power-society" model, describing the dynamics of power distribution in a hierarchy. We herein formulate basic principles of the model and present a simulation system for numeric experiments. It is shown that most properties of the deterministic model that is a system of differential equations are inherited by the cellular automaton model, which is also shows a possibility to attract power distribution to a solution, proved to be unstable in the classical model.

Keywords: "power-society" system, cellular automata, numerical experiment, simulation.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-06-07926_а
15-01-06192_а


Full text: PDF file (403 kB)
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Received: 14.10.2014

Citation: A. P. Petrov, M. E. Stepantsov, “Simulation of three-tier system "power-society" based on cellular automata”, Matem. Mod., 28:3 (2016), 119–132

Citation in format AMSBIB
\Bibitem{PetSte16}
\by A.~P.~Petrov, M.~E.~Stepantsov
\paper Simulation of three-tier system "power-society" based on cellular automata
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 3
\pages 119--132
\mathnet{http://mi.mathnet.ru/mm3714}
\elib{http://elibrary.ru/item.asp?id=25865441}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. E. Stepantsov, “Diskretnaya matematicheskaya model sistemy «vlast-obschestvo-ekonomika» na osnove kletochnogo avtomata”, Kompyuternye issledovaniya i modelirovanie, 8:3 (2016), 561–572  mathnet  crossref
    2. M. E. Stepantsov, “Simulation of “power-society-economics” system with elements of corruption based on cellular automata”, Math. Models Comput. Simul., 10:2 (2018), 249–254  mathnet  crossref  elib
    3. D. A. Zenyuk, G. G. Malinetskii, D. S. Faller, “Matematicheskie modeli korruptsionnogo povedeniya s nesovershennym auditom”, Preprinty IPM im. M. V. Keldysha, 2018, 053, 20 pp.  mathnet  crossref  elib
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