Newtonian dynamics phenomenological econophysics of microeconomical systems

  • 1 Faculty of Real Sciences, Department of Physics and Mathematics, Univers ity “Pr. Assen Zlatarov”, Burgas


The study of the activities of microeconomic systems always remains a very important task of quantitative description of these systems. The microeconomic system of stocks in general is characterized by the possession of some quantity of stocks that is a potential for the revenues generating as the result of customer demands. The quantity of stocks evolves over time as a “trajectory” according to the theory of classical mechanics. This trajectory in economic terms is called the trend. The system “moves” on this trajectory and the movement takes place under the action of the forces acting on the system. This study delimits the following names of the forces acting on th e microeconomic system. The first type of the force from the customers is called the driving force Fm. For the stable efficient continuation of the system over time, it is necessary both the permanent insurance with stocks from the distributors and the payments in the form of salaries and other various taxes and they will be called in economic terms with a general term friction forces Ffr. These friction forces stop the numerical increase of revenues in general.
A special force called the gravitational econophysical force acts on the system because the system is situated within this econophysical gravitational field that is generated by the customer population itself. This econophysical gravitational field has the maximum possible gravitational acceleration of the order of ≈5.7 for all types of microeconomic systems. The value of g is calculated in this research and finally this conception of gravitational model is validated. The system posses a mass that is called by the suggestion like econophysical mass M. The average value of econophysical mass <M> is calculated in this research. This econophysical mass is nothing else but the gross profit. The product of econophysical mass with the gravitational acceleration is called gravitational force. The opposite for ce is the reaction force R from the support of this trend. The support has the meaning of the supply of new stocks from the distributors. The vectorial sum of all forces is the resultant force that in its turn generates acceleration. If the acceleration exist then the systems moves on th is trend with various slopes. The respective projections of the forces on the x-axis and y – axis on the trend allow calculating the values of accelerations. The obtained results of accelerations are smaller than of gravitational. The analogy of mechanical impulse is the net profit. The instantaneous values of the net profits are various over time depending on the cumulative expenses Ecum and cumulative revenues Rcum. Finally the slopes of
the trend allow observing that the values of accelerations depend on the slopes. Very steep slopes give the value of gravitational acceleration.
The mechanical conception of the description of the activity of microeconomic systems allows understanding deeply the mechanisms of the generation of bankruptcy as well as the special conditions necessary for income generation by the application of the quantitative relations of the theory of Newtonian mechanics.



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