This article is cited in 5 papers

The proof of power structures macromodels by means of their microdescriptions

A. P. Mikhailov^a, A. V. Savel'ev<sup>b

a</sup> Institute for Mathematical Modelling, Russian Academy of Sciences
^b Moscow Institute of Physics and Technology

Abstract: This paper is a continuation of researches on mathematical modeling of “power society” systems [1–4]. Here a model of power hierarchy considering as a “tree” (or a “pyramid”) is built. The topology of this kind is more close to real power structures constructions than early models of hierarchies considered as a simple chain of institutions. Under some assumptions and after aggregate this microdescription transforms to yet built macrodescription for some “average” institutions. Thus a proof and a generalization for initial simplified models of power structures are obtained.

Received: 09.03.2000

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