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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2006 Volume 14, Number 1, Pages 62–70 (Mi timb112)

Mechanics of price development in the competitive market

B. S. Kalitin

Belarusian State University, Minsk

Abstract: In the paper a unified theory for construction of a mathematical model of the market of interchangeable goods and services is presented. For $n$ goods-competitors the system of ordinary differential equations with respect to vector of prices is constructed and a problem of stability of economic equilibrium is investigated. Special cases of the model are considered. We conclude that the competition itself is not the main reason of market stability, but rather is an accelerator of its stability or instability.

UDC: 33:517.925

Received: 07.09.2005



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