An Efficiency of Strategies in Models of Conflict Redistribution of Resource Space

Authors

DOI:

https://doi.org/10.20535/1810-0546.2017.4.95191

Keywords:

Dynamic conflict system, Conflict redistribution of resource space, Strategies of opponents, Self-similar measures

Abstract

Background. The model of conflict redistribution of resource space (territory) between a pair of opponents in the case of infinite fractal division of space is investigated.

Objective. The aim of the paper is to consider the problem of conflict redistribution of resource space, if the opponent presence measures on the space are limited, but not necessarily probabilistic.

Methods. To specify the measures of the occupied territories and to find their limiting values a probabilistic approach was applied.

Results. The existence of limit values of measures of occupied territories with an infinite increase in the division step is established. The possible values are indicated. Using computer simulation graphs are obtained which show the behavior of the measures of the occupied territories with increasing of the division step.

Conclusions. It is shown that the limit values of measures of occupied territories depend only on the selected strategies (that is, the way of structured representation of measures that correspond to each of the opponents). 

References

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I. Verygina, “Comparison of two opponent strategies in the problem of “conquest” of territory”, Dopovidi NANU, no. 5, pp. 7–12, 2016 (in Ukrainian).

I.Verygina and O. Buzynny, “Сonflicting redistribution of the resource space: estimation of speed of approaching of measures of the occupied territories”, Matematychne ta Komp’yuterne Modelyuvannya. Ser. Fiz.-Mat. Nauky, vol. 13, pp. 28–44, 2016 (in Ukrainian).

I. Verygina and V. Koshmanenko, “Task about optimal strategy in models of conflict redistribution of resource space”, Ukr. Math. J., vol. 69, no. 7, pp. 905–911, 2017 (in Ukrainian).

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Published

2017-09-18

Issue

No. 4 (2017): Physics and Mathematics

Section

Art

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Copyright (c) 2017 Igor Sikorsky Kyiv Polytechnic Institute

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