IDEAS home Printed from
   My bibliography  Save this article

Comparative Dynamics In Stochastic Models With Respect To The L∞–L∞ Duality: A Differential Approach


  • Sato, Kenji
  • Yano, Makoto


Many economic analyses are based on the property that the value of a commodity vector responds continuously to a change in economic environment. As is well known, however, many infinite-dimensional models, such as an infinite–time horizon stochastic growth model, lack this property. In the present paper, we investigate a stochastic growth model in which dual vectors lie in an L ∞ space. This result ensures that the value of a stock vector is jointly continuous with respect to the stock vector and its support price vector. The result is based on the differentiation method in Banach spaces that Yano [ Journal of Mathematical Economics 18 (1989), 169–185] develops for stochastic growth models.

Suggested Citation

  • Sato, Kenji & Yano, Makoto, 2012. "Comparative Dynamics In Stochastic Models With Respect To The L∞–L∞ Duality: A Differential Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 127-138, April.
  • Handle: RePEc:cup:macdyn:v:16:y:2012:i:s1:p:127-138_00

    Download full text from publisher

    File URL:
    File Function: link to article abstract page
    Download Restriction: no

    More about this item


    Access and download statistics


    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:cup:macdyn:v:16:y:2012:i:s1:p:127-138_00. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Keith Waters). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.