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THE JOURNAL OF ECONOMIC SCIENCES: THEORY AND PRACTICE, V.74, # 1, 2017, pp. 4-9

ECONOPHYSICAL ANALYSIS OF THE RELATIONSHIP BETWEEN
MONOPOLY AND COMPETITION

Prof. Sh.G. Askerov, A.Sh. Askerov

Received 10 January 2017; accepted 20 June 2017; published online 10 July 2017

Abstract

The article considers the econophysical analysis of the relationship between
monopoly and competition and the philosophy of progress. It is shown that
competition being a derived monopoly displaces the competition providing progress,
and to achieve progress, a nonlinear increase in the production of output by the
passage of time is necessary.

Key words: monopoly, competition, philosophy of progress, linear output, polycrystal.

JEL Classification: A12

Suppose that the volume of production (H) depends linearly on the time t:
İ = b t (1)
Here b is the proportionality coefficient, which shows the volume of production
produced per unit time. At b = 0 there is no production, i.e. Commodity is not
produced. We can assume that in the case of a pure monopoly, b remains constant (b
= bm = const) and does not change with time. In this case, there is production,
although there is no progress. For progress, it is necessary that the quantity of
products produced per unit of time increases with time. In other words, for progress,
the linear İ (t) dependence should become nonlinear or change nonlinearly. This
means that the proportionality coefficient b in formula (1) should increase with time.
We believe that this is a necessary condition for progress. In this paper, the
necessary results are applied to the results obtained in the field of physical sciences.
In physics, there are a number of phenomena where linear output characteristics
become non-linear under the influence of various factors. Such phenomena include,
for example, low-energy cathode sputtering [Плешивцев Н. В.19681].
Cathodic sputtering is a physical phenomenon that occurs when a surface of a
solid is bombarded with ions. This phenomenon is characterized, basically, by two
parameters: the sputtering coefficient Y (atom / ion) and the threshold energy E0 of
the sputtering. The first parameter shows the number of atoms knocked out from the
surface by a single incident ion. The second parameter shows the minimum ion
energy threshold below which the spraying process does not occur.

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