IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1906.11224.html
   My bibliography  Save this paper

The Hamiltonian approach to the problem of derivation of production functions in economic growth theory

Author

Listed:
  • Roman G. Smirnov
  • Kunpeng Wang

Abstract

We introduce a general Hamiltonian framework that appears to be a natural setting for the derivation of various production functions in economic growth theory, starting with the celebrated Cobb-Douglas function. Employing our method, we investigate some existing models and propose a new one as special cases of the general $n$-dimensional Lotka-Volterra system of eco-dynamics.

Suggested Citation

  • Roman G. Smirnov & Kunpeng Wang, 2019. "The Hamiltonian approach to the problem of derivation of production functions in economic growth theory," Papers 1906.11224, arXiv.org.
    • Handle: RePEc:arx:papers:1906.11224
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1906.11224
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yashiv, Eran & Perets, Gadi, 2018. "Lie Symmetries and Essential Restrictions in Economic Optimization," CEPR Discussion Papers 12611, C.E.P.R. Discussion Papers.
    2. Afonso, António & Jalles, João Tovar, 2013. "Growth and productivity: The role of government debt," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 384-407.
    3. La Torre, Davide & Liuzzi, Danilo & Marsiglio, Simone, 2015. "Pollution diffusion and abatement activities across space and over time," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 48-63.
    4. Sato, Ryuzo, 1981. "Theory of Technical Change and Economic Invariance," Elsevier Monographs, Elsevier, edition 1, number 9780126194609 edited by Shell, Karl.
    5. Marco Corazza & Florence Legros & Cira Perna & Marilena Sibillo, 2017. "Mathematical and Statistical Methods for Actuarial Sciences and Finance," Post-Print hal-01776135, HAL.
    6. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    7. Douglas, Paul H, 1976. "The Cobb-Douglas Production Function Once Again: Its History, Its Testing, and Some New Empirical Values," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 903-915, October.
    8. Ryuzo Sato & Rama V. Ramachandran, 2014. "Symmetry and Economic Invariance," Advances in Japanese Business and Economics, Springer, edition 2, number 978-4-431-54430-2.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roman G. Smirnov & Kunpeng Wang, 2019. "The Cobb-Douglas production function revisited," Papers 1910.06739, arXiv.org, revised Oct 2019.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Roman G. Smirnov & Kunpeng Wang, 2017. "In search of a new economic model determined by logistic growth," Papers 1711.02625, arXiv.org, revised Oct 2018.
    2. Roman G. Smirnov & Kunpeng Wang, 2019. "The Cobb-Douglas production function revisited," Papers 1910.06739, arXiv.org, revised Oct 2019.
    3. Fanglin LI & Michael APPIAH & Regina Naa Amua DODOO, 2020. "The Effects Of Technology And Labor On Growth In Emerging Countries," Management Research and Practice, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 12(2), pages 39-47, June.
    4. Danny García Callejas, 2005. "Economic Growth, Consumption and Oil Scarcity in Colombia: A Ramsey model, time series and panel data approach," Borradores del CIE 4180, Universidad de Antioquia, CIE.
    5. Juchem Neto, J.P. & Claeyssen, J.C.R. & Pôrto Júnior, S.S., 2018. "Economic agglomerations and spatio-temporal cycles in a spatial growth model with capital transport cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 76-86.
    6. Jesus Felipe & Franklin M. Fisher, 2003. "Aggregation in Production Functions: What Applied Economists should Know," Metroeconomica, Wiley Blackwell, vol. 54(2‐3), pages 208-262, May.
    7. Quaas, Georg, 2018. "Test der neoklassischen Produktionsfunktion [Testing the neoclassical production function]," MPRA Paper 86368, University Library of Munich, Germany.
    8. Perets, Gadi S. & Yashiv, Eran, 2015. "The fundamental nature of HARA utility," LSE Research Online Documents on Economics 86287, London School of Economics and Political Science, LSE Library.
    9. Wang, Tianyu & Li, Kui-Wai, 2018. "Examining the liquidity and productivity relationship: Evidence from post-reform China," MPRA Paper 100837, University Library of Munich, Germany, revised 31 May 2020.
    10. Herb Kunze & Davide La Torre & Simone Marsiglio, 2019. "A Multicriteria Macroeconomic Model with Intertemporal Equity and Spatial Spillovers," Papers 1911.08247, arXiv.org.
    11. Yashin, Pete, 2014. "The Golden Rule of Capital Accumulation and Global Recession. Aggregate Production Function and the Cambridge Capital Controversy," MPRA Paper 58570, University Library of Munich, Germany.
    12. José Francisco Bellod Redondo, 2011. "La función de producción de Cobb-Douglas y la economía española," Revista de Economía Crítica, Asociación de Economía Crítica, vol. 12, pages 9-38.
    13. Nicol`o Cangiotti & Mattia Sensi, 2020. "A geometric characterization of VES and Kadiyala-type production functions," Papers 2004.09617, arXiv.org.
    14. Villar Otálora, Juan Camilo, 2021. "Una revisión sobre los métodos convencionales de la contabilidad del crecimiento: La tiranía de la identidad [A review of the conventional methods of growth accounting: The tyranny of identity]," MPRA Paper 106683, University Library of Munich, Germany.
    15. Yashiv, Eran & Perets, Gadi, 2018. "Lie Symmetries and Essential Restrictions in Economic Optimization," CEPR Discussion Papers 12611, C.E.P.R. Discussion Papers.
    16. Herb Kunze & Davide Torre & Simone Marsiglio, 2022. "Sustainability and spatial spillovers in a multicriteria macroeconomic model," Annals of Operations Research, Springer, vol. 311(2), pages 1067-1084, April.
    17. Alvaro Angeriz & John McCombie & Mark Roberts, 2008. "Returns to Scale for EU Regional Manufacturing," Working Papers 20, Queen Mary, University of London, School of Business and Management, Centre for Globalisation Research.
    18. Ayad, Fayssal, 2023. "Mapping the path forward: A prospective model of natural resource depletion and sustainable development," Resources Policy, Elsevier, vol. 85(PA).
    19. Ikonen, Pasi, 2017. "Financial depth, debt, and growth," Bank of Finland Scientific Monographs, Bank of Finland, volume 0, number e51.
    20. Yashin, Pete, 2016. "Кризис И Рост Неравенства. Оптимальный Путь Экономического Роста [The crisis and increasing inequality. The best equilibrium growth path]," MPRA Paper 73544, University Library of Munich, Germany.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1906.11224. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.