IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp2712.html
   My bibliography  Save this paper

A Note on Allen-Uzawa Partial Elasticities of Substitution: The Case of the Translog Cost Function

Author

Listed:
  • Christev, Atanas

    () (Heriot-Watt University, Edinburgh)

  • Featherstone, Allen

    () (Kansas State University)

Abstract

This note provides a useful property of the Allen-Uzawa partials for the translog cost function. It also suggests how the main results extend to any functional form with certain properties. The curvature of the Allen-Uzawa matrix is the same as the curvature of the Hessian matrix. Intuitively and empirically, the Allen-Uzawa partials allow for the verification of curvature properties.

Suggested Citation

  • Christev, Atanas & Featherstone, Allen, 2007. "A Note on Allen-Uzawa Partial Elasticities of Substitution: The Case of the Translog Cost Function," IZA Discussion Papers 2712, Institute for the Study of Labor (IZA).
  • Handle: RePEc:iza:izadps:dp2712
    as

    Download full text from publisher

    File URL: http://ftp.iza.org/dp2712.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-338, July.
    2. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    3. Allen M. Featherstone & Charles B. Moss, 1994. "Measuring Economies of Scale and Scope in Agricultural Banking," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 655-661.
    4. Anderson, R. K. & Moroney, J. R., 1993. "Morishima elasticities of substitution with nested production functions," Economics Letters, Elsevier, vol. 42(2-3), pages 159-166.
    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. James, L. & Glynn, T., 2017. "Reexamining the Question: Are Imported Beef and Domestic Beef Complements or Substitutes?," 2017 Annual Meeting, February 4-7, 2017, Mobile, Alabama 252720, Southern Agricultural Economics Association.
    2. Dogan, Can & Akay, Gokhan H., 2016. "Multi-sector specific factors model with two mobile factors," International Review of Economics & Finance, Elsevier, vol. 46(C), pages 136-147.

    More about this item

    Keywords

    translog cost function; elasticity of substitution; concavity;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • D20 - Microeconomics - - Production and Organizations - - - 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:iza:izadps:dp2712. 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: (Mark Fallak). General contact details of provider: http://www.iza.org .

    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 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.

    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.