IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/halshs-00639729.html
   My bibliography  Save this paper

Optimal timing of regime switching in optimal growth models: A Sobolev space approach

Author

Listed:
  • Cuong Le Van

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, University of Exeter Business School - University of Exeter, VCREME - Van Xuan Center of Research in Economics, Management and Environment)

  • Erol Dogan

    (Bilkent University [Ankara])

  • Cagri Saglam

    (Bilkent University [Ankara])

Abstract

This paper analyses the optimal timing of switching between alternative and consecutive regimes in optimal growth models. We derive the appropriate necessary conditions for such problems by means of the standard techniques from calculus of variations and some basic properties of Sobolev spaces.

Suggested Citation

  • Cuong Le Van & Erol Dogan & Cagri Saglam, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," PSE-Ecole d'économie de Paris (Postprint) halshs-00639729, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00639729
    DOI: 10.1016/j.mathsocsci.2010.11.005
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00639729
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00639729/document
    Download Restriction: no
    File URL: https://libkey.io/10.1016/j.mathsocsci.2010.11.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Boucekkine, Raouf & Saglam, Cagri & Valléee, Thomas, 2004. "Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 8(2), pages 250-271, April.
    2. Raouf Boucekkine & Fernando Del Río & Omar Licandro, 2003. "Embodied Technological Change, Learning‐by‐doing and the Productivity Slowdown," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(1), pages 87-98, March.
    3. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, vol. 85(1), pages 24-51, March.
    4. Cuong Van & Raouf Boucekkine & Cagri Saglam, 2007. "Optimal Control in Infinite Horizon Problems: A Sobolev Space Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 497-509, September.
    5. Raouf Boucekkine & Jacek Krawczyk & Thomas Vallée, 2011. "Environmental quality versus economic performance: A dynamic game approach," Post-Print hal-03193660, HAL.
    6. Jeremy Greenwood & Boyan Jovanovic, 2001. "Accounting for Growth," NBER Chapters, in: New Developments in Productivity Analysis, pages 179-224, National Bureau of Economic Research, Inc.
    7. McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355, Elsevier.
    8. repec:cor:louvrp:-2335 is not listed on IDEAS
    9. Parente Stephen L., 1994. "Technology Adoption, Learning-by-Doing, and Economic Growth," Journal of Economic Theory, Elsevier, vol. 63(2), pages 346-369, August.
    10. Tomiyama, Ken & Rossana, Robert J., 1989. "Two-stage optimal control problems with an explicit switch point dependence : Optimality criteria and an example of delivery lags and investment," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 319-337, July.
    11. Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, November.
    12. Makris, Miltiadis, 2001. "Necessary conditions for infinite-horizon discounted two-stage optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1935-1950, December.
    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. Erin Cottle Hunt & Frank N. Caliendo, 2022. "Social security and longevity risk: An analysis of couples," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(3), pages 547-579, June.
    2. 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.
    3. Erin Cottle Hunt & Frank N. Caliendo, 2024. "Dynamic Optimization with Timing Risk," Mathematics, MDPI, vol. 12(17), pages 1-18, August.
    4. Caliendo, Frank N. & Gorry, Aspen & Slavov, Sita, 2019. "The cost of uncertainty about the timing of Social Security reform," European Economic Review, Elsevier, vol. 118(C), pages 101-125.
    5. Dieter Grass & Richard F. Hartl & Peter M. Kort, 2012. "Capital Accumulation and Embodied Technological Progress," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 588-614, August.

    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. Boucekkine, Raouf & Saglam, Cagri & Valléee, Thomas, 2004. "Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 8(2), pages 250-271, April.
    2. Vallée, Thomas & Moreno-Galbis, Eva, 2011. "Optimal time switching from tayloristic to holistic workplace organization," Structural Change and Economic Dynamics, Elsevier, vol. 22(3), pages 238-246, September.
    3. R. Boucekkine & H.C. Saglam & T. Vallee, 2002. "Optimal switching time of technologies," Computing in Economics and Finance 2002 64, Society for Computational Economics.
    4. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "Optimal Regime Switching and Threshold Effects: Theory and Application to a Resource Extraction Problem under Irreversibility," Working Papers halshs-00793200, HAL.
    5. Elke Moser & Andrea Seidl & Gustav Feichtinger, 2014. "History-dependence in production-pollution-trade-off models: a multi-stage approach," Annals of Operations Research, Springer, vol. 222(1), pages 457-481, November.
    6. Boucekkine, R. & Pommeret, A. & Prieur, F., 2013. "Optimal regime switching and threshold effects," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2979-2997.
    7. Dieter Grass & Richard F. Hartl & Peter M. Kort, 2012. "Capital Accumulation and Embodied Technological Progress," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 588-614, August.
    8. Camacho, Carmen & Hassan, Waleed, 2023. "The dynamics of revolution: Discrimination, social unrest and the optimal timing of revolution," Economic Modelling, Elsevier, vol. 128(C).
    9. Ngo Van Long & Fabien Prieur & Klarizze Puzon & Mabel Tidball, 2013. "Markov Perfect Equilibria in Differential Games with Regime Switching Strategies," Working Papers 13-06, LAMETA, Universtiy of Montpellier, revised Jan 2014.
    10. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2013. "On the timing and optimality of capital controls: Public expenditures, debt dynamics and welfare," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 101-112, March.
    11. Thorsten Upmann & Stefan Behringer, 2017. "Harvesting a Remote Renewable Resource," CESifo Working Paper Series 6724, CESifo.
    12. Seidl, Andrea, 2019. "Zeno points in optimal control models with endogenous regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 353-368.
    13. Carmen Camacho & Waleed Hassan, 2023. "People Get Ready: Optimal timing of Revolution," PSE Working Papers halshs-03372991, HAL.
    14. Stefan Wrzaczek & Michael Kuhn & Ivan Frankovic, 2020. "Using Age Structure for a Multi-stage Optimal Control Model with Random Switching Time," Journal of Optimization Theory and Applications, Springer, vol. 184(3), pages 1065-1082, March.
    15. Carmen Camacho & Waleed Hassan, 2023. "People Get Ready: Optimal timing of Revolution," Working Papers halshs-03372991, HAL.
    16. Huseyin cagri SAGLAM, 2002. "Optimal pattern of technology adoption under embodiment with a finite planning horizon : A multi-stage optimal control approach," LIDAM Discussion Papers IRES 2002031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    17. Raouf Boucekkine & Carmen Camacho & Benteng Zou, 2020. "Optimal switching from competition to cooperation: a preliminary exploration," Working Papers halshs-02434786, HAL.
    18. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 2005. "Vintage capital and the dynamics of the AK model," Journal of Economic Theory, Elsevier, vol. 120(1), pages 39-72, January.
    19. Noël Bonneuil & Raouf Boucekkine, 2016. "Viable Nash Equilibria in the Problem of Common Pollution," Working Papers halshs-01341983, HAL.
    20. Caliendo, Frank N. & Gorry, Aspen & Slavov, Sita, 2019. "The cost of uncertainty about the timing of Social Security reform," European Economic Review, Elsevier, vol. 118(C), pages 101-125.

    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:pseptp:halshs-00639729. 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: Caroline Bauer (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.