IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-10-00796.html
   My bibliography  Save this article

A note on concavity, homogeneity and non-Increasing returns to scale

Author

Listed:
  • Juan David Prada

    () (Northwestern University and Banco de la Rep├║blica)

Abstract

This paper provides a simple proof of the result that if a production function is homogeneous, displays non-increasing returns to scale, is increasing and quasiconcave, then it is concave. If the function is strictly quasiconcave or one-to-one, homogeneous, displays decreasing returns to scale and if either it is increasing or if zero is in its domain, then it is strictly concave. Finally it is shown that we cannot dispense with these assumptions.

Suggested Citation

  • Juan David Prada, 2011. "A note on concavity, homogeneity and non-Increasing returns to scale," Economics Bulletin, AccessEcon, vol. 31(1), pages 100-105.
  • Handle: RePEc:ebl:ecbull:eb-10-00796
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2011/Volume31/EB-11-V31-I1-P12.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ardeshir Dalal, 2000. "Strict concavity with homogeneity and decreasing returns to scale," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 28(3), pages 381-382, September.
    2. Friedman, James W, 1973. "Concavity of Production Functions and Non-Increasing Returns to Scale," Econometrica, Econometric Society, vol. 41(5), pages 981-984, September.
    3. Bone, John, 1989. "A Note on Concavity and Scalar Properties in Production," Bulletin of Economic Research, Wiley Blackwell, vol. 41(3), pages 213-217, July.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Homogeneity; Concavity; Non-Increasing Returns to Scale and Production Function;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D2 - Microeconomics - - Production and Organizations

    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-10-00796. 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: (John P. Conley). 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.

    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.