IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v103y1999i1d10.1023_a1021733719020.html
   My bibliography  Save this article

Necessary Conditions for Nonsmooth, Infinite-Horizon, Optimal Control Problems

Author

Listed:
  • A. Seierstad

    (University of Oslo)

Abstract

Necessary conditions are proved for deterministic nonsmooth optimal control problems involving an infinite horizon and terminal conditions at infinity. The necessary conditions include a complete set of transversality conditions.

Suggested Citation

  • A. Seierstad, 1999. "Necessary Conditions for Nonsmooth, Infinite-Horizon, Optimal Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 201-229, October.
  • Handle: RePEc:spr:joptap:v:103:y:1999:i:1:d:10.1023_a:1021733719020
    DOI: 10.1023/A:1021733719020
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1021733719020
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1023/A:1021733719020?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Seierstad, A., 1996. "Nonsmooth Infinit Horizon Control Problem," Memorandum 1996_033, Oslo University, Department of Economics.
    2. Benveniste, L. M. & Scheinkman, J. A., 1982. "Duality theory for dynamic optimization models of economics: The continuous time case," Journal of Economic Theory, Elsevier, vol. 27(1), pages 1-19, June.
    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. Reddy, P.V. & Engwerda, J.C., 2011. "Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games," Other publications TiSEM 4896ece5-2400-45ba-a86f-5, Tilburg University, School of Economics and Management.

    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. Ravi Kashyap, 2016. "Solving the Equity Risk Premium Puzzle and Inching Towards a Theory of Everything," Papers 1604.04872, arXiv.org, revised Sep 2019.
    2. W.A. Brock & A. Xepapadeas & A.N. Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," Annual Review of Resource Economics, Annual Reviews, vol. 6(1), pages 33-68, October.
    3. Kamihigashi, Takashi, 2005. "Necessity of the transversality condition for stochastic models with bounded or CRRA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1313-1329, August.
    4. Fausto Gozzi, 2012. "Mathematical Tools for Economic Dynamics: Dynamic Optimization," Discussion Papers 19_2012, CRISEI, University of Naples "Parthenope", Italy.
    5. Magill, Michael J P, 1979. "The Stability of Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(3), pages 577-597, October.
    6. Buiter, Willem H. & Sibert, Anne C., 2007. "Deflationary Bubbles," Macroeconomic Dynamics, Cambridge University Press, vol. 11(4), pages 431-454, September.
    7. Ulla Lehmijoki, 2004. "On the Beach? Sustainability, Optimal Pollution, and Optimal Population," DEGIT Conference Papers c009_039, DEGIT, Dynamics, Economic Growth, and International Trade.
    8. Takashi Kamihigashi, 2002. "A simple proof of the necessity of the transversality condition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 427-433.
    9. 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.
    10. Xepapadeas, Anastasios, 2005. "Economic growth and the environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 23, pages 1219-1271, Elsevier.
    11. Rincón-Zapatero, Juan Pablo & Santos, Manuel S., 2009. "Differentiability of the value function without interiority assumptions," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1948-1964, September.
    12. Bona, Jerry L. & Santos, Manuel S., 1997. "On the Role of Computation in Economic Theory," Journal of Economic Theory, Elsevier, vol. 72(2), pages 241-281, February.
    13. Chakravorty, Ujjayant & Krulce, Darrell & Roumasset, James, 2005. "Specialization and non-renewable resources: Ricardo meets Ricardo," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1517-1545, September.
    14. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S., 1997. "Equilibrium dynamics in two-sector models of endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 115-143, January.
    15. Truman Bewley, 2010. "An Integration of Equilibrium Theory and Turnpike Theory," Levine's Working Paper Archive 1381, David K. Levine.
    16. Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2023. "Spatial growth theory: Optimality and spatial heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    17. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    18. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
    19. Ricardo Lagos & Guillaume Rocheteau & Pierre-Olivier Weill, 2007. "Crashes and recoveries in illiquid markets," Working Papers (Old Series) 0708, Federal Reserve Bank of Cleveland.
    20. Bond, Eric W. & Wang, Ping & Yip, Chong K., 1996. "A General Two-Sector Model of Endogenous Growth with Human and Physical Capital: Balanced Growth and Transitional Dynamics," Journal of Economic Theory, Elsevier, vol. 68(1), pages 149-173, January.

    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:spr:joptap:v:103:y:1999:i:1:d:10.1023_a:1021733719020. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.