Skip to main content

Identification of an Endogenous Production Function for the U.S. Economy

  • Conference paper
  • First Online:
Optimization and Applications (OPTIMA 2024)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 15218))

Included in the following conference series:

  • 8 Accesses

Abstract

The paper identifies an endogenous production function for the U.S. economy, represented by the distribution of production capacities across technologies with finite lifetimes. Technology characteristics (initial labor and capital intensity) are determined during the creation of the production unit. The microeconomic description of the model is based on the hypothesis that production capacity decreases with age, while the number of jobs remains the same until the production unit is liquidated when its lifetime limit is exceeded. Initial labor and capital intensity may decrease under the influence of scientific and technological progress. The parameters of the production function built on the basis of microeconomic description are determined by parallel calculations indirectly by comparing the model-calculated and statistical time series of macro-indicators of the U.S. economy in 1970–2022. A preliminary economic interpretation of the obtained results is presented.

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”.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Olenev, N.N.: Two balanced growth paths based on an endogenous production function. Olenev, N. (2023). In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V. (eds.) OPTIMA 2023, LNCS, vol. 14395, pp. 263–274. Springer, Heidelberg (2023)

    Google Scholar 

  2. 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)

    Google Scholar 

  3. 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

    Article  MathSciNet  MATH  Google Scholar 

  4. Olenev, N.: Economy of Greece: an evaluation of real sector. Bull. Polit. Economy 10(1), 25–37 (2016)

    MATH  Google Scholar 

  5. 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

  6. 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)

    Google Scholar 

  7. Kamenev, G.K., Olenev, N.N.: Study of the Russian economy’s identification and forecast stability using a Ramsey type model. Math. Models Comput. Simul. 7(2), 179–189 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  8. National Accounts – Analysis of Main Aggregates (AMA). http://unstats.un.org/unsd/snaama/dnllist.asp. Accessed 17 June 2024

  9. Total employment and the unemployment rate in the United States from 1980 to 2023. https://www.statista.com/statistics/269959/employment-in-the-united-states/. Accessed 4 July 2024

  10. 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

    Article  MathSciNet  MATH  Google Scholar 

  11. Theil, H.: Economic Forecasts and Policy. North-Holland Publishing Company, New York (1961)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nicholas Olenev .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2025 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Olenev, N. (2025). Identification of an Endogenous Production Function for the U.S. Economy. In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V. (eds) Optimization and Applications. OPTIMA 2024. Lecture Notes in Computer Science, vol 15218. Springer, Cham. https://doi.org/10.1007/978-3-031-79119-2_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-79119-2_19

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-79118-5

  • Online ISBN: 978-3-031-79119-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics