Optimal Control Problem for One-Sector Economic Growth Model with Mixed Constraints

Anisimov, A. V.; Grigorenko, N. L.; Luk’yanova, L. N.

doi:10.1007/s10598-014-9239-9

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“…Здесь g(k) -средняя производительность труда в региональной экономике; ρ -уровень накопления в региональной экономике, характеризующий долю ВРП, инвестиции в основные производственные фонды РЭ. Интерпретация зависимости (8) состоит в том, что инвестиции, обеспечивающие устойчивый рост ОПФ региональной экономки и, как следствие, рост ее ВРП, должны компенсировать расходы на замену ликвидируемых ОПФ РЭ и рост потребления работниками, занятыми в экономике, и обеспечивая при этом его максимизацию [1][2][3][4][5]. Определение k * (8) для интервала [t н , t k ] осуществляется при допущениях о постоянстве величин μ(t), ν(t) и ρ(t) (1).…”

Section: теоретические аспекты моделирования динамики значений валового регионального продуктаunclassified

“…Работы, посвященные исследованиям применения данной модели для моделирования экономических систем, можно разделить на две группы. К первой группе относятся работы теоретического характера, в которых основное внимание уделяется получению аналитических выражений, характеризующих управление рассматриваемой экономической системой [3][4][5]. В этих работах для описания функционирования экономической системы всегда используются производственные функции Кобба -Дугласа.…”

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Modeling the Dynamics of Gross Regional Product

Кутышкин¹

2021

CTAC&R

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The gross regional product is a key macroeconomic indicator that characterizes the development of the regional socio-economic system. Modeling the dynamics of this indicator, as the final product of the economic system, also involves the development of models for changing the values of aggregated cost factors associated with its production. One of the directions of using the developed models is the formation of short-term forecasts of the direct values of the gross regional product and the factors of labor and capital costs of the regional economy that determine them. Aim. Modeling the dynamics of the value of the gross product of the regional economy of the Yamal-Nenets Autonomous Okrug on the basis of the one-sector model of R. Solow for the formation of short-term forecasts of the value of this indicator. Materials and methods. The one-sector model of economic growth by R. Solow is used, in which the functioning of the regional economy is described by two-factor neoclassical functions with a constant elasticity of substitution of factors of production costs. Production functions are identified using retrospective sequences of indices of gross regional product and cost factors of the regional economy. Short-term forecasting of the gross product of the regional economy is carried out using a production function that provides a better approximation of retrospective data of the time interval of the previous forecasting year. Results. Neoclassical two-factor production functions with constant elasticity of substitution of cost factors of the regional economy of the Yamalo-Nenets Autonomous Okrug (YNAO) for the period from 2001 to 2018 were constructed.The values of the gross regional product and the average annual number of employed in the Yamal-Nenets economy were calculated for 2017–2019, which were compared with the corresponding data published by the Federal State Statistics Service of the Russian Federation, and the forecast values published by the regional administration. Conclusion. It has been established that the used production functions give acceptable estimates of the approximation of the actual values of the gross regional product of the considered regional economy in the considered time interval. Modification of the models for changing the values of cost factors made it possible to increase the accuracy of short-term forecasts, both directly of the values of the gross regional product and the values of factors of labor and capital costs.

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Section: теоретические аспекты моделирования динамики значений валового регионального продуктаunclassified

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Modeling the Dynamics of Gross Regional Product

Кутышкин¹

2021

CTAC&R

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Optimal Control Problem for One-Sector Economic Growth Model with Mixed Constraints

Cited by 1 publication

References 3 publications

Modeling the Dynamics of Gross Regional Product

Modeling the Dynamics of Gross Regional Product

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