IDEAS home Printed from https://ideas.repec.org/p/cir/cirwor/2002s-04.html
   My bibliography  Save this paper

A New Proof Of The Maximum Principle

Author

Listed:
  • Ngo Van Long
  • Koji Shimomura

Abstract

We offer a new proof of the maximum principle, by using the envelope theorem that is frequently used in the standard microeconomic theory. Copyright Springer-Verlag Berlin Heidelberg 2003
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Ngo Van Long & Koji Shimomura, 2002. "A New Proof Of The Maximum Principle," CIRANO Working Papers 2002s-04, CIRANO.
  • Handle: RePEc:cir:cirwor:2002s-04
    as

    Download full text from publisher

    File URL: https://cirano.qc.ca/files/publications/2002s-04.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
    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. Caliendo Frank N. & Guo Nick L., 2014. "Optimal Control Problems with State Specific Jumps in the State Equation," Mathematical Economics Letters, De Gruyter, vol. 1(2-4), pages 1-8, July.

    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. Frédéric Gannon & Vincent Touzé, 2006. "Insurance and Optimal Growth," Post-Print halshs-00085181, HAL.
    2. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    3. Horioka, Charles Yuji & Gahramanov, Emin & Hayat, Aziz & Tang, Xueli, 2021. "The impact of bequest motives on labor supply and retirement behavior in Japan: A theoretical and empirical analysis," Journal of the Japanese and International Economies, Elsevier, vol. 62(C).
    4. Van Long, Ngo & Shimomura, Koji, 1998. "Some results on the Markov equilibria of a class of homogeneous differential games," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 557-566, January.
    5. Florence TOUYA, 2009. "Tax Interactions with Asymmetric Information and Nonlinear Instruments," Working Papers 9, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Nov 2009.
    6. Zon, Adriaan van, 2016. "On the optimum timing of the global carbon-transition under conditions of extreme weather-related damages: further green paradoxical results," MERIT Working Papers 2016-010, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    7. Alice Issanchou & Karine Daniel & Pierre Dupraz & Carole Ropars-Collet, 2018. "Soil resource and the profitability and sustainability of farms: A soil quality investment model," Working Papers SMART 18-01, INRAE UMR SMART.
    8. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    9. Herrmann, Markus & Nkuiya, Bruno & Dussault, Anne-Renée, 2013. "Innovation and antibiotic use within antibiotic classes: Market incentives and economic instruments," Resource and Energy Economics, Elsevier, vol. 35(4), pages 582-598.
    10. Manuel A. Gómez, 2022. "The good, the bad and the worse: current, past and future consumption externalities and equilibrium efficiency," Journal of Economics, Springer, vol. 137(3), pages 195-228, December.
    11. Jason P. Brown & Dayton M. Lambert & Raymond J. G. M. Florax, 2013. "The Birth, Death, and Persistence of Firms: Creative Destruction and the Spatial Distribution of U.S. Manufacturing Establishments, 2000–2006," Economic Geography, Clark University, vol. 89(3), pages 203-226, July.
    12. Domínguez-May, Roger & Poot-López, Gaspar R. & Hernández, Juan & Gasca-Leyva, Eucario, 2020. "Dynamic optimal ration size in tilapia culture: Economic and environmental considerations," Ecological Modelling, Elsevier, vol. 420(C).
    13. James M. Malcomson, 2011. "Do Managers with Limited Liability Take More Risky Decisions? An Information Acquisition Model," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(1), pages 83-120, March.
    14. Miraldo, Marisa & Siciliani, Luigi & Street, Andrew, 2011. "Price adjustment in the hospital sector," Journal of Health Economics, Elsevier, vol. 30(1), pages 112-125, January.
    15. Louis-Pascal Mahé & Carole Ropars, 2001. "L'exploitation régulée d'une ressource renouvelable : inefficacité d'un rationnement factoriel et efficacité des quotas individuels transférables," Économie et Prévision, Programme National Persée, vol. 148(2), pages 141-156.
    16. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.
    17. Laussel, Didier & Resende, Joana, 2014. "Dynamic price competition in aftermarkets with network effects," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 106-118.
    18. Florence Lachet-Touya, 2013. "Tax Interactions with Asymmetric Information and Nonlinear Instruments," Working papers of CATT hal-02945285, HAL.
    19. Brekke, Kurt R. & Cellini, Roberto & Siciliani, Luigi & Straume, Odd Rune, 2010. "Competition and quality in health care markets: A differential-game approach," Journal of Health Economics, Elsevier, vol. 29(4), pages 508-523, July.
    20. Florence Lachet-Touya, 2009. "Tax Interactions with Asymmetric Information and Nonlinear Instruments," Working papers of CATT hal-03551027, HAL.

    More about this item

    Keywords

    Maximum Principle; Envelope Theorem; Principe de Maximum; Théorème de l'Enveloppe;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    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:cir:cirwor:2002s-04. 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: Webmaster (email available below). General contact details of provider: https://edirc.repec.org/data/ciranca.html .

    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.