IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-00118977.html
   My bibliography  Save this paper

On necessary conditions for efficiency in directionally differentiable optimization problems

Author

Listed:
  • Manh-Hung Nguyen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Do Van Luu

    (Institut de Mathématiques [Hanoi] - Académie des Sciences et Techniques)

Abstract

This paper deals with multiobjective programming problems with inequality, equality and set constraints involving Dini or Hadamard differentiable functions. A theorem of the alternative of Tucker type is established and from which Kuhn-Tucker necessary conditions for local Pareto minima with positive Lagrange multipliers associated with all the components of objective functions are derived.

Suggested Citation

  • Manh-Hung Nguyen & Do Van Luu, 2006. "On necessary conditions for efficiency in directionally differentiable optimization problems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00118977, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00118977
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00118977
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00118977/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. X. F. Li, 2000. "Constraint Qualifications in Nonsmooth Multiobjective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 106(2), pages 373-398, August.
    2. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    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. Do Van Luu & Manh Hung Nguyen, 2006. "On alternative theorems and necessary conditions for efficiency," Cahiers de la Maison des Sciences Economiques b06019, Université Panthéon-Sorbonne (Paris 1).
    2. Król, Michał, 2012. "Product differentiation decisions under ambiguous consumer demand and pessimistic expectations," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 593-604.
    3. G. Sujatha, 2018. "‘Is It Family or Politics?’ Reflections on Gender and the Modern Tamil Subjectivity Constitution in the Discourse of C. N. Annadurai," Studies in Indian Politics, , vol. 6(2), pages 267-281, December.
    4. repec:dgr:rugsom:04a27 is not listed on IDEAS
    5. Sergio Sousa, 2010. "Small-scale changes in wealth and attitudes toward risk," Discussion Papers 2010-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    6. Laczó, Sarolta & Rossi, Raffaele, 2020. "Time-consistent consumption taxation," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 194-220.
    7. Pratap, Sangeeta & Urrutia, Carlos, 2004. "Firm dynamics, investment and debt portfolio: balance sheet effects of the Mexican crisis of 1994," Journal of Development Economics, Elsevier, vol. 75(2), pages 535-563, December.
    8. D’Erasmo, P. & Mendoza, E.G. & Zhang, J., 2016. "What is a Sustainable Public Debt?," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2493-2597, Elsevier.
    9. Alain Egli, 2005. "Hotelling's Beach with Linear and Quadratic Transportation Costs: Existence of Pure Strategy Equilibria," Diskussionsschriften dp0509, Universitaet Bern, Departement Volkswirtschaft.
    10. Matteo Iacoviello, 2008. "Household Debt and Income Inequality, 1963–2003," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(5), pages 929-965, August.
    11. Goh, Kim-Leng & King, Maxwell L., 1996. "Modified Wald tests for non-linear restrictions: A cautionary tale," Economics Letters, Elsevier, vol. 53(2), pages 133-138, November.
    12. Ken Miyajima, 2013. "Foreign exchange intervention and expectation in emerging economies," BIS Working Papers 414, Bank for International Settlements.
    13. Alisdair McKay, 2011. "Household Saving Behavior and Social Security Privatization," Boston University - Department of Economics - Working Papers Series WP2011-027, Boston University - Department of Economics.
    14. Massimo A. De Francesco, 2003. "On a property of mixed strategy equilibria of the pricing game," Economics Bulletin, AccessEcon, vol. 4(30), pages 1-8.
    15. Neely, Christopher J. & Weller, Paul, 2000. "Predictability in International Asset Returns: A Reexamination," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(4), pages 601-620, December.
    16. Mika Meitz & Pentti Saikkonen, 2008. "Stability of nonlinear AR‐GARCH models," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(3), pages 453-475, May.
    17. De Bonis, Valeria, 1997. "Regional integration and factor income taxation," Policy Research Working Paper Series 1849, The World Bank.
    18. Gantner, Anita & Horn, Kristian & Kerschbamer, Rudolf, 2016. "Fair and efficient division through unanimity bargaining when claims are subjective," Journal of Economic Psychology, Elsevier, vol. 57(C), pages 56-73.
    19. Salisu, Afees A. & Ademuyiwa, Idris & Isah, Kazeem O., 2018. "Revisiting the forecasting accuracy of Phillips curve: The role of oil price," Energy Economics, Elsevier, vol. 70(C), pages 334-356.
    20. Martin, Fernando M., 2015. "Debt, inflation and central bank independence," European Economic Review, Elsevier, vol. 79(C), pages 129-150.
    21. B. Bhaskara Rao & Arusha Cooray, 2012. "How useful is growth literature for policies in the developing countries?," Applied Economics, Taylor & Francis Journals, vol. 44(6), pages 671-681, February.

    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-00118977. 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: 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.