Physical Modeling of Economic Systems - страница 2

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Let’s give the following reasons to substantiate such an approach. Let p(t) be a trajectory of movement of the market subject in a price space, in other words, it is price p of a commodity set for by the subject at a moment t. By setting prices this way, buyers and sellers who act as homo negotians (a negotiating man) in a physical modeling aim at maximum satisfaction of their strive for profit, i.e. for such price at which interests of both buyers and sellers and, considering external environment and the whole system in general, are satisfied in an optimal way. It is here that one can see similarity of the movement of economy (described by trajectories p(t)) to the moving of material particles of the physical system (described by trajectories x(t)), which is also subject to a certain principle of maximization. This is what our confidence in conceptual possibility of developing a dynamic theory of economic systems in a price space by the analogy with a dynamic theory of physical systems in physical space is based on. We also admit that in spite of the difference between the qualities of the physical and price spaces along with the qualities of economic and physical systems, the reasonable starting point in the study of economic systems dynamics are equations of motion for a physical prototype, i.e. the type of equations of both systems in their spaces will be the same, though the essence of parameters and potentials in them will be completely different. It is a usual case in physics when one and the same equation describes different systems. For example, the equation of harmonic oscillator describes motion of both simple pendulum and electromagnetic wave. In other words, formal similarity of the equations does not mean equality of the systems which they describe.

In physics a wide experience in calculating physical systems of different degree of complexity with different interaction between members of the system and the system with external environment has been accumulated. It makes sense trying to find a way to use these achievements in finding solutions of economic problems. In case such an activity were successful, there would appear an opportunity of numerical research of the influence of both different internal and external factors on the behavior of each economic agent and on the results of activity of the whole economic system with the help of computer calculations of physical models. Economics (more exactly – theoretical economics) would obtain the most powerful research device the opportunities of which could be compared with the result of the discovery of equations of motion of the physical systems.