[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/nea/journl/y2017i34p193-201.html
   My bibliography  Save this article

The Theory of Endogenous Economic Growth and Equations of Mathematical Physics

Author

Listed:
  • Polterovich, V.

    (Central Economics and Mathematics Institute, Russian Academy of Sciences, Moscow, Russia)

Abstract
The paper contains an overview of recent studies that use equations of mathematical physics, their analogs and modifications for describing endogenous evolution of firms' distribution by efficiency levels. The master equation is proposed that includes, as special cases, differential-difference analogues of the Burgers, Boltzmann, and Kolmogorov-Petrovsky-Piskunov equations. The analogues were applied by a number of authors in the study of Schumpeterian dynamics. The connections between the models of Schumpeterian dynamics and stochastic differential equations are demonstrated. A scheme for constructing multifactorial models of endogenous growth is also proposed, based on a combination of different imitation rules for different performance indicators. Directions for further research are outlined.

Suggested Citation

  • Polterovich, V., 2017. "The Theory of Endogenous Economic Growth and Equations of Mathematical Physics," Journal of the New Economic Association, New Economic Association, vol. 34(2), pages 193-201.
    • Handle: RePEc:nea:journl:y:2017:i:34:p:193-201
    as

    Download full text from publisher

    File URL: http://www.econorus.org/repec/journl/2017-34-193-201r.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. , & Lorenz, Jan & ,, 2016. "Innovation vs. imitation and the evolution of productivity distributions," Theoretical Economics, Econometric Society, vol. 11(3), September.
    2. Robert E. Lucas Jr. & Benjamin Moll, 2014. "Knowledge Growth and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 1-51.
    3. Henkin, Gennadi M. & Polterovich, Victor M., 1991. "Schumpeterian dynamics as a non-linear wave theory," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 551-590.
    4. Acemoglu, Daron & Cao, Dan, 2015. "Innovation by entrants and incumbents," Journal of Economic Theory, Elsevier, vol. 157(C), pages 255-294.
    5. Polterovich, Victor & Henkin, Gennadi, 1989. "An Evolutionary Model with Interaction between Development and Adoption of New Technologies," MPRA Paper 22555, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    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. Polterovich, Victor, 2017. "Теория Эндогенного Экономического Роста И Уравнения Математической Физики [The theory of endogenous economic growth and equations of mathematical physics]," MPRA Paper 78622, University Library of Munich, Germany.
    2. Leonidov, A. & Vasilyeva, E., 2020. "Schumpeterian evolution of firms' capital-labor ratio distribution," Journal of the New Economic Association, New Economic Association, vol. 48(4), pages 12-40.
    3. Jess Benhabib & Jesse Perla & Christopher Tonetti, 2021. "Reconciling Models of Diffusion and Innovation: A Theory of the Productivity Distribution and Technology Frontier," Econometrica, Econometric Society, vol. 89(5), pages 2261-2301, September.
    4. Keiichi Kishi, 2016. "Technology Diffusion, Pareto Distribution, and Patent Policy," Discussion Papers in Economics and Business 16-31, Osaka University, Graduate School of Economics.
    5. , & Lorenz, Jan & ,, 2016. "Innovation vs. imitation and the evolution of productivity distributions," Theoretical Economics, Econometric Society, vol. 11(3), September.
    6. Kishi, Keiichi & Okada, Keisuke, 2021. "The impact of trade liberalization on productivity distribution under the presence of technology diffusion and innovation," Journal of International Economics, Elsevier, vol. 128(C).
    7. Michael König & Kjetil Storesletten & Zheng Song & Fabrizio Zilibotti, 2022. "From Imitation to Innovation: Where Is All That Chinese R&D Going?," Econometrica, Econometric Society, vol. 90(4), pages 1615-1654, July.
    8. Kishi, Keiichi, 2019. "Technology diffusion, innovation size, and patent policy," European Economic Review, Elsevier, vol. 118(C), pages 382-410.
    9. Olivier Gallay & Fariba Hashemi & Max-Olivier Hongler, 2019. "Imitation, Proximity, And Growth — A Collective Swarm Dynamics Approach," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-43, August.
    10. Jose Asturias & Sewon Hur & Timothy J. Kehoe & Kim J. Ruhl, 2023. "Firm Entry and Exit and Aggregate Growth," American Economic Journal: Macroeconomics, American Economic Association, vol. 15(1), pages 48-105, January.
    11. Bondarev, Anton & Krysiak, Frank C., 2021. "Economic development and the structure of cross-technology interactions," European Economic Review, Elsevier, vol. 132(C).
    12. David de la Croix & Matthias Doepke & Joel Mokyr, 2018. "Clans, Guilds, and Markets: Apprenticeship Institutions and Growth in the Preindustrial Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(1), pages 1-70.
    13. Orlando Gomes, 2021. "Hand-to-mouth consumers, rule-of-thumb savers, and optimal control," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(2), pages 229-263, April.
    14. Gregory Huffman, 2019. "An Analysis of the Importance of Both Destruction and Creation to Economic Growth," Vanderbilt University Department of Economics Working Papers 19-00010, Vanderbilt University Department of Economics.
    15. Erzo G. J. Luttmer, 2014. "An Assignment Model of Knowledge Diffusion and Income Inequality," Working Papers 715, Federal Reserve Bank of Minneapolis.
    16. Francisco J. Buera & Ezra Oberfield, 2020. "The Global Diffusion of Ideas," Econometrica, Econometric Society, vol. 88(1), pages 83-114, January.
    17. Jess Benhabib & Jesse Perla & Christopher Tonetti, 2014. "Catch-up and fall-back through innovation and imitation," Journal of Economic Growth, Springer, vol. 19(1), pages 1-35, March.
    18. Orlando Gomes, 2021. "Growth theory under heterogeneous heuristic behavior," Journal of Evolutionary Economics, Springer, vol. 31(2), pages 533-571, April.
    19. Gregor Jarosch & Ezra Oberfield & Esteban Rossi‐Hansberg, 2021. "Learning From Coworkers," Econometrica, Econometric Society, vol. 89(2), pages 647-676, March.
    20. Staley, Mark, 2015. "Firm Growth and Selection in a Finite Economy," MPRA Paper 67291, University Library of Munich, Germany.

    More about this item

    Keywords

    Schumpeterian dynamics; imitation; innovation; Burgers equation; Boltzmann equation; Kolmogorov-Petrovsky-Piskunov equation;
    All these keywords.

    JEL classification:

    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    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:nea:journl:y:2017:i:34:p:193-201. 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: Alexey Tcharykov (email available below). General contact details of provider: https://edirc.repec.org/data/nearuea.html .

    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.