Open Access

# Dynamical systems of conflict in terms of structural measures

### Abstract

We investigate the dynamical systems modeling conflict processes between a pair of opponents. We assume that opponents are given on a common space by distributions (probability measures) having the similar or self-similar structure. Our main result states the existence of the controlled conflict in which one of the opponents occupies almost whole conflicting space. Besides, we compare conflicting effects stipulated by the rough structural approximation under controlled redistributions of starting measures.

Key words: Dynamical system of conflict, probability measure, self-similar measure, similar structure measure, fixed point, equilibrium state, Hahn-Jordan decomposition, rough structural approximation, controlled redistribution.

### Article Information

 Title Dynamical systems of conflict in terms of structural measures Source Methods Funct. Anal. Topology, Vol. 22 (2016), no. 1, 81-93 MathSciNet MR3522864 zbMATH 06630285 Milestones Received 28/04/2015; Revised 19/06/2015 Copyright The Author(s) 2016 (CC BY-SA)

### Authors Information

Volodymyr Koshmanenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine

Inga Verygina
National Technical University of Ukraine ”Kyiv Polytechnic Institute”, 37 Prospect Peremogy, Kyiv, 03056, Ukraine

### Citation Example

Volodymyr Koshmanenko and Inga Verygina, Dynamical systems of conflict in terms of structural measures, Methods Funct. Anal. Topology 22 (2016), no. 1, 81-93.

### BibTex

@article {MFAT843,
AUTHOR = {Koshmanenko, Volodymyr and Verygina, Inga},
TITLE = {Dynamical systems of conflict in terms of
structural measures},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {22},
YEAR = {2016},
NUMBER = {1},
PAGES = {81-93},
ISSN = {1029-3531},
MRNUMBER = {MR3522864},
ZBLNUMBER = {06630285},
URL = {http://mfat.imath.kiev.ua/article/?id=843},
}

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