IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-22-00049.html
   My bibliography  Save this article

A note on local uniqueness of equilibria: How isolated is a local equilibrium?

Author

Listed:
  • Stefano Matta

    (University of Cagliari)

Abstract

The motivation of this note is to show how singular values affect local uniqueness. More precisely, Theorem 3.1 shows how to construct a neighborhood (a ball) of a regular equilibrium whose diameter represents an estimate of local uniqueness, hence providing a measure of how isolated a (local) unique equilibrium can be. The result, whose relevance in terms of comparative statics is evident, is based on reasonable and natural assumptions and hence is applicable in many different settings, ranging from pure exchange economies to non-cooperative games.

Suggested Citation

  • Stefano Matta, 2023. "A note on local uniqueness of equilibria: How isolated is a local equilibrium?," Economics Bulletin, AccessEcon, vol. 43(3), pages 1389-1394.
    • Handle: RePEc:ebl:ecbull:eb-22-00049
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2023/Volume43/EB-23-V43-I3-P118.pdf
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Comparative statics; regularity; singular values; local uniqueness.;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

    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:ebl:ecbull:eb-22-00049. 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: John P. Conley (email available below). General contact details of provider: .

    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.