IDEAS home Printed from https://ideas.repec.org/p/cea/doctra/e2003_40.html

On the Coincidence of the Feedback Nash and Stackelberg Equilibria in Economic Applications of Differential Games

Author

Abstract

In this paper the scope of the applicability of the Stackelberg equilibrium concept in differential games is investigated. Firstly, conditions for obtaining the coincidence between the Stackelberg and Nash equilibria are defined in terms of the instantaneous pay-off function and the state equation of the game. Secondly, it is showed that for a class of differential games with state-interdependence both equilibria are identical independently of the player being the leader of the game. A survey of different economic models shows that this coincidence is going to occur for a good number of economic applications of differential games. This result appears because of the continuous-time setting in which differential games are defined. In this setting the first movement advantage of the leader may disappear and the both equilibria coincide.

Suggested Citation

  • Santiago J. Rubio, 2003. "On the Coincidence of the Feedback Nash and Stackelberg Equilibria in Economic Applications of Differential Games," Economic Working Papers at Centro de Estudios Andaluces E2003/40, Centro de Estudios Andaluces.
    • Handle: RePEc:cea:doctra:e2003_40
    as

    Download full text from publisher

    File URL: http://public.centrodeestudiosandaluces.es/pdfs/E200340.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. is not listed on IDEAS
    2. Guiomar Martín-Herrán & Santiago J. Rubio, 2016. "The Strategic Use of Abatement by a Polluting Monopoly," Working Papers 2016.58, Fondazione Eni Enrico Mattei.
    3. Karray, Salma & Martín-Herrán, Guiomar, 2009. "A dynamic model for advertising and pricing competition between national and store brands," European Journal of Operational Research, Elsevier, vol. 193(2), pages 451-467, March.

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cea:doctra:e2003_40. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Susana Mérida The email address of this maintainer does not seem to be valid anymore. Please ask Susana Mérida to update the entry or send us the correct address (email available below). General contact details of provider: https://edirc.repec.org/data/fcanges.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.