Geodesic
Mechanics of price development in the competitive market
Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 62-70

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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. 
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B. S. Kalitin. Mechanics of price development in the competitive market. Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 62-70. http://geodesic.mathdoc.fr/item/TIMB_2006_14_1_a7/