2022 (19), №3

Structural-Organizational Aspects of the Theory of the Firm from the Perspective of the Probabilistic-Dynamic and Statistical Approaches

For citation: 

Slavin, V. A. (2022). Structural-Organizational Aspects of the Theory of the Firm from the Perspective of the Probabilistic-Dynamic and Statistical Approaches. AlterEconomics, 19(3), 526–546. https://doi.org/10.31063/AlterEconomics/2022.19-3.7

Abstract:

The study applies the probabilistic-dynamic and statistical methods developed earlier by the author (et al.) to solve problems in the theory of production and economic systems (firms). These methods are underpinned by the concept of microeconomic states as vectors of economic solution evolving along phase trajectories in accordance with the given Hamilton function. If Hamilton function contains sufficient information about the operating conditions of the production system, the results of the dynamic (neoclassical) theory based solely on the study of the phase trajectory of the company are valid. Otherwise, in the conditions of incomplete information, the results of the statistical theory based on the idea of the evolution of microstates as spontaneous transitions between small sections (“pieces”) of various trajectories distributed in phase space with probability density are valid. The subject of the company’s research within the framework of statistical (neoinstitutional) theory is the average values of the dynamic characteristics of the production systems. The paper solves the variation problem of finding the optimal structure of a firm that provides the maximum of the Hamilton function for given system resources. Based on the solution of the variation problem, the dynamic characteristics of the two typical structures — unitary and holding- are described in detail. An expression is found for the indicator of the specific controlled assets of the holding’s subsidiaries and the optimal size of the controlling stake is estimated. The synergistic effect that occurs when companies are united into a single holding structure is explained. The paradox of the dynamic theory about the possibility of infinite growth of the company size is formulated. The statistical method is applied to discuss the mechanisms of principal-agent interaction on production system connections in the cases of agents’ rational and opportunistic behavior. The study describes two ways of eliminating the consequences of opportunism for the typical structures of a company. The estimates of the institutional characteristics of a company are provided.

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Vyacheslav A. Slavin — Cand. Sci. (Physics and Mathematics), Associate Professor, Department of Higher Mathematics and Theoretical Mechanics, Chuvash State University named after I. N. Ulyanov (15, Moskovsky Ave., Cheboksary, 428015, Russian Federation; e-mail: slavin9297@mail.ru).

Coase, R. H. (1937). The nature of the firm.  Economica, 4(16),  386-405.

Coase, R. H. (1993).  Firma, rynok i pravo [The Firm, the Market, and the Law].  Moscow, Russia: Delo LTD, 192. (In Russ.)

Danilin, V. I. (2019). Sistema modeley gorizontal’nogo soglasovaniya planovykh resheniy razlichnymi podrazdeleniyami kompanii [System models horizontal harmonization of planning decisions by various units of the company].  Ekonomika i matematicheskie metody [Economics and Mathematical Methods], 55(1),  85-100. DOI: https://doi.org/10.31857/S042473880003985-2. (In Russ.)

Demsetz, H. (2011). K teorii prav sobstvennosti [Toward a Theory of Property Rights].  American Economic Review, 57(2),  347-359. (In Russ.)

Gattai, V. & Natale, P. (2017). A New Cinderella Story: Joint Ventures and the Property Rights Theory of the Firm.  Journal of Economic Surveys, 31(1),  281-302.

Intriligator, M. (2002). Matematicheskie metody optimizatsii i eko-nomicheskaya teoriya [Mathematical Optimization and Economic Theory]. Moscow, Russia: Ayris-press, 576. (In Russ.)

Irimiás, A. & Mitev, A. (2020). Change Management, Digital Maturity, and Green Development: Are Successful Firms Leveraging on Sustainability. Sustainability, 12(10),  4019. DOI: https://doi.org/10.3390/su12104019.

Kleiner, G. B. (2013). Sistemnaya ekonomika i sistemno-orientirovannoe modelirovanie [System economics and system-oriented modeling]. Ekonomika i matematicheskie metody [Economics and Mathematical Methods], 49(4),  71-93. (In Russ.)

Knobels, A. Yu. (2010). Vertikal’naya integratsiya, tekhnologicheskaya svya-zannost’ proizvodstv, opportunisticheskoe povedenie i ekonomicheskiy rost [Vertical Integration, Technological Production Chain, Opportunistic Behavior and the Economic Growth]. Ekonomika i matematicheskie metody [Economics and Mathematical Methods], 46(1),  117-132. (In Russ.)

Kolomiets, S. M. (2013). Elastichnost’ proizvodstvennoy funktsii i optimal’nyy ob’em proizvodstva [Elasticity of production function and optimum output].  Zhurnal ekonomicheskoj teorii [Russian Journal of Economic Theory],  3, 209-219. (In Russ.)

Kozyr, Yu. V. (2015). Podkhody k otsenke doley uchastiya v kompaniyakh [Approaches to the valuation of shares in companies]. Ekonomika i matematicheskie metody [Economics and Mathematical Methods], 51(3), 32-40. (In Russ.)

Krasnov, G. A., Krasnov, A. A. et al. (2014). Predpriyatie (firma) s pozitsii teorii funk-tsional’nykh dinamicheskikh system [The enterprise (firm) from the position of theory of functional dinamic systems].  Zhurnal ekonomicheskoj teorii [Russian Journal of Economic Theory], 2,  93-105. (In Russ.)

Kukushkin, V. A. (2011). Dinamika proizvodstvenno-ekonomicheskioy sistemy v rezhime statsionarnogo proizvodstva [Dynamic of the industrial and economic system in regime of stationary production]. Vestnik INZhEKONa [The Bulletin of St. Petersburg State University of Engineering and Economics], 5,  209-219. (In Russ.)

Kukushkin, V. A. & Medvedeva, E. V. (2011). Planovaya dinamika proizvodstvenno-ekono­micheskikh sistem v rentabel’nom rezhime predlo-zheniya tovara [Planned Dynamics of Industrial and Economic System in Cost-effective product Sales Mode]. Mezhdunarodnyy tekhniko-ekonomicheskiy zhurnal [International Scientific Journal], 4,  43-48. (In Russ.)

Makarov, V. L. (1986). O razvitii ekonomiko-matematicheskogo inst-rumentariya na sovremennom etape [On the development of economic and mathematical tools at the present stage]. Ekonomika i matematicheskie metody [Economics and mathematical methods], 22(3),  417. (In Russ.)

North, D. C. (1997). Instituty, institutsional’nye izmeneniya i funktsionirovanie ekonomiki [Institutions, institutional change and economic performance].  Moscow, Russia: Fond ekonomicheskoy knigi “Nachalo”, 180. (In Russ.)

Orel, E. N. & Orel, O. E. (2016). Optimal’noe upravlenie protsessom proizvodstva pri vypolnenii zakaza k zadannomu sroku [Optimal production control of order performing by delivery date].  Ekonomika i matematicheskie metody [Economics and mathematical methods], 52(3),  65-77. (In Russ.)

Sharafutdinova, K. A. & Vlasov, M. V. (2019). Sravnitel’nyy analiz transaktsionnykh izderzhek [A comparative analysis of transaction costs].  Zhurnal ekonomicheskoj teorii [Russian Journal of Economic Theory], 16(4),  881-886. DOI: https://doi.org/10.31063/2073-6517/2019.16-4.26. (In Russ.)

Slavin, V. A. (2015). Dinamicheskie aspekty optimal’nogo tsenoobra-zovaniya v usloviyakh pryamogo nalogooblozheniya firmy [Dynamics of the optimal pricing in the conditions of direct taxation of the company].  Zhurnal ekonomicheskoj teorii [Russian Journal of Economic Theory], 4,  78-90. (In Russ.)

Slavin, V. A. (2021). Osobennosti statisticheskogo metoda v neoin-stitutsional’noy teorii [Statistical Method in the Neoinstitutional Theory].  Zhurnal ekonomicheskoj teorii [Russian Journal of Economic Theory], 18(2),  212-225. DOI: https://doi.org/10.31063/2073-6517/2021.18-2.4. (In Russ.)

Sukharev, O. S. (2021). Informatsiya i institutsional’nyy vybor v mo-delyakh agentskikh vzaimodeystviy [Information and institutional choice in models of agency interactions]. Zhurnal ekonomicheskoj teorii [Russian Journal of Economic Theory], 18(1),  69-86. DOI: https://doi.org/10.31063/2073-6517/2021.18-1.5. (In Russ.)

Svetunkov, I. S. & Svetunkov, S. G. (2012). Stepennye proizvodstvennye funktsii kom-pleksnykh peremennykh [Power complex variables production functions].  Ekonomika i matematicheskie metody [Economics and mathematical methods], 48(1),  67-79. (In Russ.)