Simulation of "power-society-economics" system with elements of corruption based on cellular automata
Matematičeskoe modelirovanie, Tome 29 (2017) no. 9, pp. 101-109.

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper presents a modification of the stochastic cellular automaton based version of the "power-society-economics" model, describing the dynamics of power distribution in a hierarchy, considering social-economical processes and corruption in the system of power. This approach allowed the model to incorporate a number of new factors, including transport communications between municipalities and regions. Basic principles of the model are presented, a simulation system is constructed, and a number of numeric experiments are conducted unavailable for continuous deterministic model. Some new results are obtained, including relationship between power dynamics and corruption level and transport network influence on the dynamics of the system.
Keywords: "power-society" system, economics, cellular automata, numerical experiment
Mots-clés : corruption, simulation.
@article{MM_2017_29_9_a7,
     author = {M. E. Stepantsov},
     title = {Simulation of "power-society-economics" system with elements of corruption based on cellular automata},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {101--109},
     publisher = {mathdoc},
     volume = {29},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_9_a7/}
}
TY  - JOUR
AU  - M. E. Stepantsov
TI  - Simulation of "power-society-economics" system with elements of corruption based on cellular automata
JO  - Matematičeskoe modelirovanie
PY  - 2017
SP  - 101
EP  - 109
VL  - 29
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2017_29_9_a7/
LA  - ru
ID  - MM_2017_29_9_a7
ER  - 
%0 Journal Article
%A M. E. Stepantsov
%T Simulation of "power-society-economics" system with elements of corruption based on cellular automata
%J Matematičeskoe modelirovanie
%D 2017
%P 101-109
%V 29
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2017_29_9_a7/
%G ru
%F MM_2017_29_9_a7
M. E. Stepantsov. Simulation of "power-society-economics" system with elements of corruption based on cellular automata. Matematičeskoe modelirovanie, Tome 29 (2017) no. 9, pp. 101-109. http://geodesic.mathdoc.fr/item/MM_2017_29_9_a7/

[1] A.P. Mikhailov, “Matematicheskoe modelirovanie vlasti v ierarkhicheskikh strukturakh”, Matematicheskoe modelirovanie, 6:6 (1994), 108–138 | Zbl

[2] A.P. Mikhailov, Modelirovanie sistemy «vlast-obshchestvo», Fizmatlit, M., 2006, 144 pp.

[3] A.P. Mikhailov, “Model korrumpirovannykh vlastnykh ierarkhii”, Matematicheskoe modelirovanie, 11:1 (1999), 3–19

[4] M.G. Dmitriev, G.S. Zhukova, A.P. Petrov, “Asimptoticheskii analiz modeli «vlast-obshchestvo» dlia sluchaia dvukh ustoichivykh raspredelenii vlasti”, Matem. modelir., 16:5 (2004), 23–34

[5] A.P. Mikhailov, D.F. Lankin, “The Structures of Power Hierarchies”, Mathematical Models and Computer Simulations, 2:2 (2010), 200–210 | DOI | MR

[6] M.G. Dmitriev, A.A. Pavlov, A.P. Petrov, “Model «vlast-obshchestvo-ekonomika» dlia sluchaia slabo korrumpirovannoi diskretnoi ierarkhii”, Matem. modelir., 24:2 (2012), 120–128 | Zbl

[7] A.P. Petrov, M.E. Stepantsov, “Modelirovanie trekhurovnevoi sistemy «vlast-obshchestvo» na osnove kletochnykh avtomatov”, Matematicheskoe modelirovanie, 28:3 (2016), 119–132 | Zbl

[8] M.E. Stepantsov, “O vozmozhnoi modfikatsii diskretnoi matematicheskoi modeli dinamicheskogo razvitiia transportnoi seti”, Kompiuternye issled. i modelir., 5:3 (2013), 395–401