Geodesic
The proof of power structures macromodels by means of their microdescriptions
Matematičeskoe modelirovanie, Tome 13 (2001) no. 4, pp. 19-34.

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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. 
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     author = {A. P. Mikhailov and A. V. Savel'ev},
     title = {The proof of power structures macromodels by means of their microdescriptions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {19--34},
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     year = {2001},
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A. P. Mikhailov; A. V. Savel'ev. The proof of power structures macromodels by means of their microdescriptions. Matematičeskoe modelirovanie, Tome 13 (2001) no. 4, pp. 19-34. http://geodesic.mathdoc.fr/item/MM_2001_13_4_a1/