Abstract
The paper amends the Green Solow model to replace the neoclassical production function by an endogenous production function. This endogenous function incorporates the growth rate, the rate of degradation of production capacities, and their age limit. All these internal parameters of the economic system make the analysis of environmental problems more interesting.
The publication has been prepared with the support of the “Research and development program using the infrastructure of the Shared Center of FRC CSC RAS”.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Olenev, N.N.: Identification of a production function with age limit for production capacities. Math. Models Comput. Simul. 12(4), 482–491 (2020). https://doi.org/10.1134/S2070048220040134
Olenev, N.: Fluctuations of aggregated production capacity near balanced growth path. In: Olenev, N., Evtushenko, Yu., Jaćimović, M., Khachay, M., Malkova, V., Pospelov, I. (eds.) OPTIMA 2022, LNCS, vol. 13781, pp. 192–204. Springer, Heidelberg (2022). https://doi.org/10.1007/978-3-031-22543-7_14
Olenev, N.: Economy of Greece: an evaluation of real sector. Bull. Polit. Econ. 10(1), 25–37 (2016)
Olenev, N.: Identification of an aggregate production function for Polish economy. Quant. Methods Econ. 19(4), 430–439 (2018). https://doi.org/10.22630/MIBE.2018.19.4.41
Olenev, N.: Identification of an aggregate production function for the economy of Turkey. In: Proceedings of the Izmir International Congress on Economics and Administrative Sciences (IZCEAS 2018), pp. 1761–1770. DETAY YAYINCILIK, Izmir (2018)
Olenev, N.: Golden rule saving rate for an endogenous production function. In: Jaćimović, M., Khachay, M., Malkova, V., Posypkin, M. (eds.) OPTIMA 2019. CCIS, vol. 1145, pp. 267–279. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-38603-0_20
Phelps, E.: The golden rule of accumulation: a fable for growth men. Am. Econ. Rev. 51(4), 638–643 (1961)
Swan, T.W.: Economic growth and capital accumulation. Econ. Rec. 32(2), 334–361 (1956)
Solow, R.M.: A contribution to the theory of economic growth. Q. J. Econ. 70(1), 65–94 (1956)
Solow, R.M.: Technical change and the aggregate production function. Rev. Econ. Stat. 39(3), 312–320 (1957)
Grossman, G., Krueger, A.: Economic growth and the environment. Q. J. Econ. 110, 353–377 (1995)
Brock, W.A., Taylor, M.S.: The green Solow model. J. Econ. Growth 2010(15), 127–153 (2010)
Copeland, B.R., Taylor, M.S.: North-South trade and the global environment. Quart. J. Econ. 109, 755–787 (1994)
Olenev, N.N., Pechenkin, R.V., Chernetsov, A.M.: Parallel programming in MATLAB and its applications (In Russian). CC RAS, Moscow (2007)
State report on the state and protection of the environment of the Russian Federation in 2021. https://news.solidwaste.ru/2022/12/gosudarstvennyj-doklad-o-sostoyanii-i-ob-ohrane-okruzhayushhej-sredy-rf-v-2021-godu/. Accessed 1 Jul 2023
National Accounts – Analysis of Main Aggregates (AMA). http://unstats.un.org/unsd/snaama/dnllist.asp. Accessed 1 Jul 2023
Theil, H.: Economic Forecasts and Policy. North-Holland Publishing Company (1961)
Olenev, N.: Identification of a Russian economic model with two kinds of capital. In: Computer Algebra Systems in Teaching and Research VI, pp. 94–103. Siedlce University of Natural Sciences and Humanities, Siedlce (2017)
Johansen, L.: Production functions and the concept of capacity. Collect. Econ. Math. Econometr. 2, 49–72 (1968)
Johansen, L.: Production functions: An integration of micro and macro, short run and long run aspects. North-Holland Publishing Company, Amsterdam (1972)
Corless, R.M., Gonnet, G.H., Hare, D.E.G., Jeffrey, D.J., Knuth, D.E.: On the lambert W function. Adv. Comput. Math. 5, 329–359 (1996). https://doi.org/10.1007/BF02124750
Olenev, N.N., Petrov, A.A., Pospelov, I.G.: Ecological Consequences of Economic Growth. Math. Model. 10(8), 17–32 (1998). (in Russian)
Demberel, S., Olenev, N.N., Pospelov, I.G.: An interaction model for livestock farming and ecosystem. Math. Comput. Simul. 67(4–5), 335–342 (2004)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Olenev, N. (2023). An Endogenous Production Function in the Green Solow Model. In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V. (eds) Optimization and Applications. OPTIMA 2023. Lecture Notes in Computer Science, vol 14395. Springer, Cham. https://doi.org/10.1007/978-3-031-47859-8_18
Download citation
DOI: https://doi.org/10.1007/978-3-031-47859-8_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-47858-1
Online ISBN: 978-3-031-47859-8
eBook Packages: Computer ScienceComputer Science (R0)