The Evolutionary Computation on the Market. The Competition an Equilibrium in Sale Costs and Quantities

Abstract
The theory of games usually concentrates attention in the market dynamical analysis on finding an the equilibrium and on the optimization behavior of sellers. It should be mentioned that for the application of the developed results. It is very important to know that the equilibrium doesn’t only exists but also can be reached by market participants. By this reason the above approach was criticized by some researchers. (For example the Austrian market process theory (Mises[21], Hayek[12] and Kirzner[18]) and the orthodox neoclassical theory (Marshall, Robinson, Chamberlin and Walras)). The problem of the equilibrium stability has been discussed in our papers earlier [7 and 8]. We have proposed to consider the problem of the attainability of the market equilibrium as an asymptotic stability task with some specially constructed iterations procedures. The result of its analysis was the theorem of the sufficient condition of the competition at the market for enterpreneurs (33). We try to renew the mentioned approach in this paper. It will be found the conditions of the local stability of the equilibrium in cases, when compete two and more products.
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