[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-17-00115.html
   My bibliography  Save this article

Conditional Factor Demands and Positive Output Effects: A Necessary and Sufficient Condition

Author

Listed:
  • Pierre Ouellette

    (Department of Economics, Université du Québec à Montréal)

  • Stéphane Vigeant

    (LEM UMR 9221, Université de Lille; IESEG School of Management)

Abstract
oroughly studied and is well-known. A given set of assumptions on the technology implies a set of restrictions on the Jacobian of the cost function and on a subset of its Hessian matrix. The vector of second derivatives of the cost function with respect to the input prices and the output has not been fully characterized, however. In this note, we present a necessary and sufficient condition to ensure that the components of this vector are all strictly positive. That is, we specify the condition for all conditional demand functions to be simultaneously increasing in output. This condition is interpreted as a strengthening of the quasi-concavity of the production function

Suggested Citation

  • Pierre Ouellette & Stéphane Vigeant, 2017. "Conditional Factor Demands and Positive Output Effects: A Necessary and Sufficient Condition," Economics Bulletin, AccessEcon, vol. 37(3), pages 1549-1554.
    • Handle: RePEc:ebl:ecbull:eb-17-00115
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2017/Volume37/EB-17-V37-I3-P140.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Alarie, Yves & Bronsard, Camille & Ouellette, Pierre, 1990. "Preferences and normal goods: A necessary and sufficient condition," Journal of Economic Theory, Elsevier, vol. 51(2), pages 423-430, August.
    2. Leroux, Alain, 1987. "Preferences and normal goods: A sufficient condition," Journal of Economic Theory, Elsevier, vol. 43(1), pages 192-199, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Normality of demand in a two-goods setting," Journal of Economic Theory, Elsevier, vol. 173(C), pages 361-382.
    2. Bilancini, Ennio & Boncinelli, Leonardo, 2010. "Preferences and normal goods: An easy-to-check necessary and sufficient condition," Economics Letters, Elsevier, vol. 108(1), pages 13-15, July.
    3. Paolo Bertoletti & Giorgio Rampa, 2011. "On Marginal Returns and Inferior Inputs," Quaderni di Dipartimento 145, University of Pavia, Department of Economics and Quantitative Methods.
    4. Gastineau, Pascal & Taugourdeau, Emmanuelle, 2014. "Compensating for environmental damages," Ecological Economics, Elsevier, vol. 97(C), pages 150-161.
    5. John Chipman, 2006. "Pareto and contemporary economic theory," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 53(4), pages 451-475, December.
    6. Paolo Bertoletti & Giorgio Rampa, 2013. "On inferior inputs and marginal returns," Journal of Economics, Springer, vol. 109(3), pages 303-313, July.
    7. Bronsard, Camille & Salvas-Bronsard, Lise, 1992. "De la variété de Patinkin-Malinvaud à l’optimum macroéconomique de court terme," L'Actualité Economique, Société Canadienne de Science Economique, vol. 68(1), pages 205-224, mars et j.
    8. Annie Liang & Xiaosheng Mu & Vasilis Syrgkanis, 2021. "Dynamically Aggregating Diverse Information," Working Papers 2021-43, Princeton University. Economics Department..
    9. Bronsard, Camille & Salvas-Bronsard, Lise, 1988. "Sur trois contributions d’Allais," L'Actualité Economique, Société Canadienne de Science Economique, vol. 64(4), pages 481-492, décembre.
    10. Paweł Dziewulski & John K.‐H. Quah, 2024. "Comparative Statics With Linear Objectives: Normality, Complementarity, and Ranking Multi‐Prior Beliefs," Econometrica, Econometric Society, vol. 92(1), pages 167-200, January.
    11. Annie Liang & Xiaosheng Mu & Vasilis Syrgkanis, 2022. "Dynamically Aggregating Diverse Information," Econometrica, Econometric Society, vol. 90(1), pages 47-80, January.

    More about this item

    Keywords

    Output effects; cost minimization; Hessian matrix; conditional input demands; cost function; duality.;
    All these keywords.

    JEL classification:

    • 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-17-00115. 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.

    If CitEc recognized a bibliographic 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.

    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.