Dynamical systems of conflict in terms of structural measures (Q2822228)

From the text: We study the emergence of space redistributions arising due to the conflict interaction between opponents (opposite sides, players). The roles of opponents may be played by various natural entities with alternative trends\dots. In turn, the conflicting space may appear as a territory, a living resource, an ordering queue, in general, any value admitting division.NEWLINENEWLINEWe begin with an observation that opponents (competing sides) of conflict processes usually are presented in a form of a similar or self-similar structure: cells, bacterias, trees, peoples, etc. That is why the description of opponents in many-dimensional terms is more adequate in comparison with single-meaning values of their mutual powers. By this reason we propose in constructions of the conflict theory to use the non-deterministic ideology of quantum mechanics. In particular, we describe the states of opponents in terms of distributions of probability measures. Furthermore, we assume that these distributions have a certain similar or self-similar geometrical structure consistent with a preassigned division of the conflicting space.NEWLINENEWLINEOur main result states the existence of the controlled conflict in which one of the opponents occupies almost the whole conflicting space. Besides, we compare conflicting effects stipulated by the rough structural approximation under controlled redistributions of starting measures.