IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-00197556.html

Non-convex aggregative technology and optimal economic growth

Author

Listed:
  • Manh Nguyen Hung

    (ULaval - Université Laval [Québec])

  • Cuong Le Van

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Philippe Michel

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique, EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper examines a model of optimal growth where the agregation of two separate well behaved and concave production technologies exhibits a basic non-convexity. Multiple equilibria prevail in an intermediate range of interest rate. However, we show that the optimal paths monotonically converge to the one single appropriate equilibrium steady state.

Suggested Citation

  • Manh Nguyen Hung & Cuong Le Van & Philippe Michel, 2005. "Non-convex aggregative technology and optimal economic growth," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197556, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00197556
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00197556v1
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00197556v1/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

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


    Cited by:

    1. is not listed on IDEAS
    2. Stefano Bosi & Thai Ha-Hui, 2023. "A multidimensional, nonconvex model of optimal growth," Documents de recherche 23-07, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    3. Kristiaan Kerstens & Ignace Van de Woestyne, 2021. "Cost functions are nonconvex in the outputs when the technology is nonconvex: convexification is not harmless," Annals of Operations Research, Springer, vol. 305(1), pages 81-106, October.
    4. Cuong Le Van & Çağrı Sağlam & Agah Turan, 2016. "Optimal Growth Strategy under Dynamic Threshold," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(6), pages 979-991, December.
    5. Elena Gubar & Laura Policardo & Edgar J. Sánchez Carrera & Vladislav Taynitskiy, 2024. "On optimal lockdown policies while facing socioeconomic costs," Annals of Operations Research, Springer, vol. 337(3), pages 959-992, June.
    6. Kerstens, Kristiaan & O’Donnell, Christopher & Van de Woestyne, Ignace, 2019. "Metatechnology frontier and convexity: A restatement," European Journal of Operational Research, Elsevier, vol. 275(2), pages 780-792.
    7. Thanh Tam Nguyen-Huu & Ngoc-Sang Pham, 2021. "Escaping the middle income trap and getting economic growth: How does FDI can help the host country?," Working Papers halshs-03143087, HAL.
    8. Jean-Michel Grandmont, 2013. "Tribute to Cuong Le Van," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 5-10, March.
    9. Crettez, Bertrand & Hayek, Naila & Morhaim, Lisa, 2017. "Optimal growth with investment enhancing labor," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 23-36.
    10. Mahmood Mehdiloo & Jafar Sadeghi & Kristiaan Kerstens, 2024. "Top Down Axiomatic Modeling of Metatechnologies and Evaluating Directional Economic Efficiency," Working Papers 2024-EQM-03, IESEG School of Management.
    11. Mark Müser & Harald Dyckhoff, 2017. "Quality splitting in waste incineration due to non-convex production possibilities," Journal of Business Economics, Springer, vol. 87(1), pages 73-96, January.
    12. Akao, Ken-Ichi & Kamihigashi, Takashi & Nishimura, Kazuo, 2011. "Monotonicity and continuity of the critical capital stock in the Dechert–Nishimura model," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 677-682.
    13. Akao, Ken-Ichi & Kamihigashi, Takashi & Nishimura, Kazuo, 2025. "Critical capital stock in a continuous-time growth model with a convex-concave production function," Journal of Mathematical Economics, Elsevier, vol. 119(C).
    14. Thanh Tam Nguyen‐Huu & Ngoc‐Sang Pham, 2024. "FDI spillovers, new industry development, and economic growth," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    15. Bosi, Stefano & Ha-Huy, Thai, 2023. "A multidimensional, nonconvex model of optimal growth," Journal of Mathematical Economics, Elsevier, vol. 109(C).
    16. Kerstens, Kristiaan & Roets, Bart & Van de Woestyne, Ignace & Zhao, Shirong, 2026. "An exploratory analysis of learning from peers: Radial vs. nonradial efficiency measures and convex vs. nonconvex technologies," European Journal of Operational Research, Elsevier, vol. 329(3), pages 1052-1062.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • O22 - Economic Development, Innovation, Technological Change, and Growth - - Development Planning and Policy - - - Project Analysis
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

    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:hal:cesptp:halshs-00197556. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.