IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v172y2017i2d10.1007_s10957-016-1006-y.html
   My bibliography  Save this article

Global Optimization on an Interval

Author

Listed:
  • Thomas A. Weber

    (École Polytechnique Fédérale de Lausanne)

Abstract

This paper provides expressions for solutions of a one-dimensional global optimization problem using an adjoint variable which represents the available one-sided improvements up to the interval “horizon.” Interpreting the problem in terms of optimal stopping or optimal starting, the solution characterization yields two-point boundary problems as in dynamic optimization. Results also include a procedure for computing the adjoint variable, as well as necessary and sufficient global optimality conditions.

Suggested Citation

  • Thomas A. Weber, 2017. "Global Optimization on an Interval," Journal of Optimization Theory and Applications, Springer, vol. 172(2), pages 684-705, February.
    • Handle: RePEc:spr:joptap:v:172:y:2017:i:2:d:10.1007_s10957-016-1006-y
    DOI: 10.1007/s10957-016-1006-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-016-1006-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-016-1006-y?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. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    2. Weber, Thomas A., 2011. "Optimal Control Theory with Applications in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015730, 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. Thomas A. Weber, 2017. "Optimal switching between cash-flow streams," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(3), pages 567-600, December.

    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. Oscar Gutiérrez & Francisco Ruiz-Aliseda, 2011. "Real options with unknown-date events," Annals of Finance, Springer, vol. 7(2), pages 171-198, May.
    2. Donna, Javier D. & Pereira, Pedro & Trindade, Andre & Yoshida, Renan C., 2020. "Direct-to-Consumer Sales by Manufacturers and Bargaining," MPRA Paper 105773, University Library of Munich, Germany.
    3. Kaplow, Louis & Shapiro, Carl, 2007. "Antitrust," Handbook of Law and Economics, in: A. Mitchell Polinsky & Steven Shavell (ed.), Handbook of Law and Economics, edition 1, volume 2, chapter 15, pages 1073-1225, Elsevier.
    4. Simon P. Anderson & Régis Renault, 2011. "Price Discrimination," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 22, Edward Elgar Publishing.
    5. Leonard J. Mirman & Egas M. Salgueiro & Marc Santugini, 2013. "Integrating Real and Financial Decisions of the Firm," Cahiers de recherche 1333, CIRPEE.
    6. McCarthy, Ian M., 2016. "Advertising intensity and welfare in an equilibrium search model," Economics Letters, Elsevier, vol. 141(C), pages 20-26.
    7. Kuosmanen, Natalia & Valmari, Nelli, 2023. "Renewal of Companies Through Product Switching," ETLA Working Papers 104, The Research Institute of the Finnish Economy.
    8. Alexander, Corinne E., 2002. "The Role Of Seed Company Supplied Information In Farmers' Decisions," 2002 Annual meeting, July 28-31, Long Beach, CA 19617, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Kathryn E. Spier, 2003. "“Tied to the Mast”: Most-Favored-Nation Clauses in Settlement Contracts," The Journal of Legal Studies, University of Chicago Press, vol. 32(1), pages 91-120, January.
    10. Pierre-Pascal Gendron, 1996. "Corporation Tax Asymmetries: An Oligopolistic Supergame Analysis," Working Papers ecpap-96-04, University of Toronto, Department of Economics.
    11. Musso, Enrico & Ferrari, Claudio & Benacchio, Marco, 2006. "Port Investment: Profitability, Economic Impact and Financing," Research in Transportation Economics, Elsevier, vol. 16(1), pages 171-218, January.
    12. Thomas Grandner, 2006. "A Note on Franchising and Wage Bargaining," Journal of Economics, Springer, vol. 87(3), pages 281-293, April.
    13. MartI´nez-Sánchez, Francisco, 2010. "Avoiding commercial piracy," Information Economics and Policy, Elsevier, vol. 22(4), pages 398-408, December.
    14. repec:zbw:bofrdp:2004_010 is not listed on IDEAS
    15. Qu, Zhan & Raff, Horst & Schmitt, Nicolas, 2018. "Incentives through inventory control in supply chains," International Journal of Industrial Organization, Elsevier, vol. 59(C), pages 486-513.
    16. Vincent Mak & Amnon Rapoport & Eyran J. Gisches & Jiaojie Han, 2014. "Purchasing Scarce Products Under Dynamic Pricing: An Experimental Investigation," Manufacturing & Service Operations Management, INFORMS, vol. 16(3), pages 425-438, July.
    17. Lau, Sau-Him Paul, 2001. "Aggregate Pattern of Time-dependent Adjustment Rules, II: Strategic Complementarity and Endogenous Nonsynchronization," Journal of Economic Theory, Elsevier, vol. 98(2), pages 199-231, June.
    18. Xavier Martinez-Giralt & Barros Pedro Pita, 2005. "Bargaining and idle public sector capacity in health care," Economics Bulletin, AccessEcon, vol. 9(5), pages 1-8.
    19. C. Lanier Benkard, 2000. "Learning and Forgetting: The Dynamics of Aircraft Production," American Economic Review, American Economic Association, vol. 90(4), pages 1034-1054, September.
    20. Dewit, Gerda & Leahy, Dermot, 2004. "Rivalry in uncertain export markets: commitment versus flexibility," Journal of International Economics, Elsevier, vol. 64(1), pages 195-209, October.
    21. Daniel Ferreira & Thomas Kittsteiner, 2016. "When Does Competition Foster Commitment?," Management Science, INFORMS, vol. 62(11), pages 3199-3212, November.

    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:172:y:2017:i:2:d:10.1007_s10957-016-1006-y. 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.