| Peer-Reviewed

Adaptation of the Principles of Classical Dynamics to Microeconomic

Published in Economics (Volume 10, Issue 4)
Received: 17 August 2021    Accepted: 11 September 2021    Published: 2 December 2021
Views:       Downloads:
Abstract

The principles of classical dynamics are applied to economic processes. The author successfully overcame the main difficulty of the basic requirement for dynamics: a description of any process should be made in real (four-dimensional) «space-time». The economic meaning for all four coordinate axes is stated that allows to introduce the concept of force interaction. Besides, J. Hicks understood more than anyone that in the analysis of microeconomic models four dimensional space (including time axis) should be considered. Unfortunately, having denoted two axes as commodities and one as a time axis he found two axes to be interdependent that allowed him to turn to two-axes coordinate system. Such a conversion is only possible if initial space is heterogeneous. In reality, however, if price is a vector quantity it should act as a vector in any spatial dimension. As for the time axis is concerned it is definitely defined by scalar property. The nature of phenomena and substance we experience in our sensations is like this. Doubtfully, that market relations which had begun in human society from the time immemorial, are not specified by these properties. The consequence of homogeneity' of the space is that we are able to analyze free motion of the point-denoting commodity in the presence of force interaction in three-dimensional space. Free motion of the point-denoting commodity means the lack of any kind of forces that limit its trajectory in any direction. The motion of the point is defined as explicitly stated periodical fluctuations of each elementary axis parameter depending on time. That is why in our reasoning we proceeded from the fact that economic space is homogeneous. Later, using the principles of special theory of relativity we shall be able to set relationship between different coordinate systems of homogeneous space in economics modeling. The only purpose of this article is to find out the third previously unknown axis in economics. The technique used to find its meaning is following. Consider the nature of interaction linked with general utility of commodity' or with total costs using time axis of commodity' quantity in three-coordinate system. Then taking into account the nature of force interaction the projection of force interaction or rather projection of a resultant of a system of force interactions should be found. The later projections on to previously unknown axis three dimensional space will clarify its economic meaning.

Published in Economics (Volume 10, Issue 4)
DOI 10.11648/j.eco.20211004.15
Page(s) 152-163
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

The Microeconomic, Space in the Coordinate System, Demand-Supply-Time Parameter, Force Interaction in Space, Acceleration Vector of Price in Space

References
[1] Samuelson P. The economy: In 2v.: Trans. from English, M., MGC Pegas, 1993, 333p., 415p.
[2] Fischer Stanley, Dornbusch Rudiger, Schmalensee Richard. Proffessors of economics Massachusetts institute of technology. Economics. McGraw-Hill Book Company, 1988, 829p.
[3] Mc Connell K. R., Brue Stanley. The Economy: In 2v.: Transl. from English, M., Respublika, 1992, Economics. McGraw-Hill Publishing Company, 1990, 399p., 400p.
[4] Eckland I. The elements of mathematical economy: Transl. from English, M, Mir, 1983, 248p.
[5] Galperin V. M., Ignatiev S. M, Morgunov V. I. The microeconomy, S-Pb., The school of economy, 1996, 348p.
[6] Sachs Jeffrey D., Larrain Felipe В. Macroeconomics in the global economy. Prentice Hall, Englewood Cliffs? New Jersey 07632, 1993, 848p. Gjon Saks, Larren F. B. The Macroeconomy. The global way: Transl. from English, M: Delo, 1996, 848p.
[7] Mankiw N. Gregory, Macroeconomics. Harvard University. Worth Publishers, 1992, 736p. Mankiw N. G. Macroeconomics: Transl. from English, MGU, 1994, 736p.
[8] Marshall Alfred. Principals of Economics. Natura non Facit Saltum. The Macmillan Press Ltd 413p., 310p., 351p. Marshall Alfred. The Principals of the economical science: In 3v.: Transl., M., Progress, 1993, 413p., 310., 351p.
[9] Jevons W. S. Brief account of a general mathematical theory of political economy. (The lection Britain association, Section F, 1862, no public) - P. 70 - 77. // The theory of the consumer activity and demand/ Under reduction V. M. Galperin, SP-b.: Economica, The school, 1993, P. 70-77.
[10] Hicks J. R. Value and capital. An inquiry into some fundamental principles of economic theory. Oxford, A1 The Clarendon Press, 1988, 488p.
[11] Bohn-Baverk E. The basis of the values in the economical benefits// The Austrian school of the political economy. The Economical legacy, M.: Economica, 1992, 491p.
[12] Heine Pol. The economical image of the thought: Transl. from English, M., Delo LTD-1993, 702p.
Cite This Article
  • APA Style

    Levin Boris Arkadievich, Levin Arkadij Isaakovich. (2021). Adaptation of the Principles of Classical Dynamics to Microeconomic. Economics, 10(4), 152-163. https://doi.org/10.11648/j.eco.20211004.15

    Copy | Download

    ACS Style

    Levin Boris Arkadievich; Levin Arkadij Isaakovich. Adaptation of the Principles of Classical Dynamics to Microeconomic. Economics. 2021, 10(4), 152-163. doi: 10.11648/j.eco.20211004.15

    Copy | Download

    AMA Style

    Levin Boris Arkadievich, Levin Arkadij Isaakovich. Adaptation of the Principles of Classical Dynamics to Microeconomic. Economics. 2021;10(4):152-163. doi: 10.11648/j.eco.20211004.15

    Copy | Download

  • @article{10.11648/j.eco.20211004.15,
      author = {Levin Boris Arkadievich and Levin Arkadij Isaakovich},
      title = {Adaptation of the Principles of Classical Dynamics to Microeconomic},
      journal = {Economics},
      volume = {10},
      number = {4},
      pages = {152-163},
      doi = {10.11648/j.eco.20211004.15},
      url = {https://doi.org/10.11648/j.eco.20211004.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eco.20211004.15},
      abstract = {The principles of classical dynamics are applied to economic processes. The author successfully overcame the main difficulty of the basic requirement for dynamics: a description of any process should be made in real (four-dimensional) «space-time». The economic meaning for all four coordinate axes is stated that allows to introduce the concept of force interaction. Besides, J. Hicks understood more than anyone that in the analysis of microeconomic models four dimensional space (including time axis) should be considered. Unfortunately, having denoted two axes as commodities and one as a time axis he found two axes to be interdependent that allowed him to turn to two-axes coordinate system. Such a conversion is only possible if initial space is heterogeneous. In reality, however, if price is a vector quantity it should act as a vector in any spatial dimension. As for the time axis is concerned it is definitely defined by scalar property. The nature of phenomena and substance we experience in our sensations is like this. Doubtfully, that market relations which had begun in human society from the time immemorial, are not specified by these properties. The consequence of homogeneity' of the space is that we are able to analyze free motion of the point-denoting commodity in the presence of force interaction in three-dimensional space. Free motion of the point-denoting commodity means the lack of any kind of forces that limit its trajectory in any direction. The motion of the point is defined as explicitly stated periodical fluctuations of each elementary axis parameter depending on time. That is why in our reasoning we proceeded from the fact that economic space is homogeneous. Later, using the principles of special theory of relativity we shall be able to set relationship between different coordinate systems of homogeneous space in economics modeling. The only purpose of this article is to find out the third previously unknown axis in economics. The technique used to find its meaning is following. Consider the nature of interaction linked with general utility of commodity' or with total costs using time axis of commodity' quantity in three-coordinate system. Then taking into account the nature of force interaction the projection of force interaction or rather projection of a resultant of a system of force interactions should be found. The later projections on to previously unknown axis three dimensional space will clarify its economic meaning.},
     year = {2021}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Adaptation of the Principles of Classical Dynamics to Microeconomic
    AU  - Levin Boris Arkadievich
    AU  - Levin Arkadij Isaakovich
    Y1  - 2021/12/02
    PY  - 2021
    N1  - https://doi.org/10.11648/j.eco.20211004.15
    DO  - 10.11648/j.eco.20211004.15
    T2  - Economics
    JF  - Economics
    JO  - Economics
    SP  - 152
    EP  - 163
    PB  - Science Publishing Group
    SN  - 2376-6603
    UR  - https://doi.org/10.11648/j.eco.20211004.15
    AB  - The principles of classical dynamics are applied to economic processes. The author successfully overcame the main difficulty of the basic requirement for dynamics: a description of any process should be made in real (four-dimensional) «space-time». The economic meaning for all four coordinate axes is stated that allows to introduce the concept of force interaction. Besides, J. Hicks understood more than anyone that in the analysis of microeconomic models four dimensional space (including time axis) should be considered. Unfortunately, having denoted two axes as commodities and one as a time axis he found two axes to be interdependent that allowed him to turn to two-axes coordinate system. Such a conversion is only possible if initial space is heterogeneous. In reality, however, if price is a vector quantity it should act as a vector in any spatial dimension. As for the time axis is concerned it is definitely defined by scalar property. The nature of phenomena and substance we experience in our sensations is like this. Doubtfully, that market relations which had begun in human society from the time immemorial, are not specified by these properties. The consequence of homogeneity' of the space is that we are able to analyze free motion of the point-denoting commodity in the presence of force interaction in three-dimensional space. Free motion of the point-denoting commodity means the lack of any kind of forces that limit its trajectory in any direction. The motion of the point is defined as explicitly stated periodical fluctuations of each elementary axis parameter depending on time. That is why in our reasoning we proceeded from the fact that economic space is homogeneous. Later, using the principles of special theory of relativity we shall be able to set relationship between different coordinate systems of homogeneous space in economics modeling. The only purpose of this article is to find out the third previously unknown axis in economics. The technique used to find its meaning is following. Consider the nature of interaction linked with general utility of commodity' or with total costs using time axis of commodity' quantity in three-coordinate system. Then taking into account the nature of force interaction the projection of force interaction or rather projection of a resultant of a system of force interactions should be found. The later projections on to previously unknown axis three dimensional space will clarify its economic meaning.
    VL  - 10
    IS  - 4
    ER  - 

    Copy | Download

Author Information
  • Department of Economy, Economy Faculty, Institute of Management, Kaliningrad, Russia

  • Department of Economy, Economy Faculty, Institute of Management, Kaliningrad, Russia

  • Sections