IDEAS home Printed from https://ideas.repec.org/p/col/000089/004974.html
   My bibliography  Save this paper

Representations and Identities for homogeneous Technologies

Author

Listed:
  • Miguel Espinosa
  • Pietro Bonaldi
  • Hernán Vallejo

Abstract

Using up to nine different ways to represent a homogeneous technology, this paper proves explicit one to one identities between most of those different representations of a technology, outlining the homogeneity properties of each representation. These identities, which allow to shift from one representation of a technology to another -and which are summarized in a matrix of identities - can be useful since they provide a tool to obtain explicit functional forms forhomogeneous technologies. They can also be useful to simplify computational procedures when different representations of a technology are needed. Finally, the document also refers explicitly to some aspects of producer theory that are often neglected or treated in a marginal way in the literature, such as the inverse supply, the non conditional cost and the inverse input demandfunctions.

Suggested Citation

  • Miguel Espinosa & Pietro Bonaldi & Hernán Vallejo, 2008. "Representations and Identities for homogeneous Technologies," Documentos CEDE 4974, Universidad de los Andes, Facultad de Economía, CEDE.
  • Handle: RePEc:col:000089:004974
    as

    Download full text from publisher

    File URL: https://repositorio.uniandes.edu.co/bitstream/handle/1992/8060/dcede2008-08.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dale W. Jorgenson & Lawrence J. Lau, 1974. "The Duality of Technology and Economic Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(2), pages 181-200.
    2. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
    3. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762.
    4. Diewert, W E, 1974. "Functional Forms for Revenue and Factor Requirements Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 119-130, February.
    5. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    6. Fare, Rolf & Mitchell, Thomas M, 1989. " A Family Tree of Linearly Homogeneous Production Functions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 91(4), pages 749-757.
    7. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    8. Appelbaum, Elie & Harris, Richard, 1977. "Estimating Technology in an Intertemporal Framework: A Neo-Austrian Approach," The Review of Economics and Statistics, MIT Press, vol. 59(2), pages 161-170, May.
    9. Larry Epstein, 1978. "Production Flexibility and the Behaviour of the Competitive Firm under Price Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(2), pages 251-261.
    10. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (II): Applications of the Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number fuss1978a.
    11. 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.
    12. Harold Hotelling, 1932. "Edgeworth's Taxation Paradox and the Nature of Demand and Supply Functions," Journal of Political Economy, University of Chicago Press, vol. 40(5), pages 577-577.
    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. Appelbaum, Elie & Harris, Richard, 1977. "Estimating Technology in an Intertemporal Framework: A Neo-Austrian Approach," The Review of Economics and Statistics, MIT Press, vol. 59(2), pages 161-170, May.

    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. Perekhozhuk, Oleksandr, 2007. "Marktstruktur und Preisbildung auf dem ukrainischen Markt für Rohmilch," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 41, number 92322.
    2. Hess, Sebastian & Surry, Yves R., 2011. "The CDET Profit Function: Could it generate a Parsimonious Agricultural Sector Model?," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114539, European Association of Agricultural Economists.
    3. Sauer, J., 2007. "Monotonicity and Curvature – A Bootstrapping Approach," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 42, March.
    4. Sauer, J.F., 2005. "“Efficiency Flooding”: Black-Box Frontiers and Policy Implications," International Journal of Applied Econometrics and Quantitative Studies, Euro-American Association of Economic Development, vol. 2(1), pages 17-52.
    5. Sauer, Johannes, 2006. "Monotonicity And Curvature - A Bootstrapping Approach," 46th Annual Conference, Giessen, Germany, October 4-6, 2006 14948, German Association of Agricultural Economists (GEWISOLA).
    6. Yaryna Kolomiytseva, 2018. "Revisiting Transformation and Directional Technology Distance Functions," Papers 1812.10108, arXiv.org.
    7. Abdullahi Abdulkadri & Michael Langemeier & Allen Featherstone, 2006. "Estimating economies of scope and scale under price risk and risk aversion," Applied Economics, Taylor & Francis Journals, vol. 38(2), pages 191-201.
    8. Johannes Sauer & Klaus Frohberg & Henrich Hockmann, 2006. "Stochastic efficiency measurement: The curse of theoretical consistency," Journal of Applied Economics, Universidad del CEMA, vol. 9, pages 139-166, May.
    9. Sandhu, Gurmit S. & Phillips, W.E. & Percy, Mike, 1992. "Economic Structural Analysis of the Canadian Agricultural Production Sector," Staff Paper Series 232540, University of Alberta, Department of Resource Economics and Environmental Sociology.
    10. V. Vandenberghe, 2018. "The Contribution of Educated Workers to Firms’ Efficiency Gains: The Key Role of Proximity to the ‘Local’ Frontier," De Economist, Springer, vol. 166(3), pages 259-283, September.
    11. Renwick, Alan W. & Revoredo-Giha, Cesar & Reader, Mark A., 2005. "Uk Sugar Beet Farm Productivity Under Different Reform Scenarios: A Farm Level Analysis," Environmental Economy and Policy Research Discussion Papers 31936, University of Cambridge, Department of Land Economy.
    12. Bailey, Alastair & Irz, Xavier T. & Balcombe, Kelvin George, 2003. "An Appliation Of The Stochastic Latent Variable Approach To The Correction Of Sector Level Tfp Calculations In The Face Of Biased Technological Change," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25842, International Association of Agricultural Economists.
    13. Guenter Lang, 2002. "Innovative Slowdown, Productivity Reversal? - Estimating the Impact of R&D on Technological Change," Discussion Paper Series 218, Universitaet Augsburg, Institute for Economics.
    14. Jean Pierre Huiban & Camille Mastromarco & Antonio Musolesi & Michel Simioni, 2016. "The impact of pollution abatement investments on production technology: new insights from frontier analysis," Working Papers hal-01512154, HAL.
    15. Sperlich, Stefan & Tjøstheim, Dag & Yang, Lijian, 2002. "Nonparametric Estimation And Testing Of Interaction In Additive Models," Econometric Theory, Cambridge University Press, vol. 18(2), pages 197-251, April.
    16. Dawei Zhang & Zhuo (June) Cheng & Hasan A. Qurban H. Mohammad & Barrie R. Nault, 2015. "Research Commentary—Information Technology Substitution Revisited," Information Systems Research, INFORMS, vol. 26(3), pages 480-495, September.
    17. Andrea Mantovi, 2016. "Smooth preferences, symmetries and expansion vector fields," Journal of Economics, Springer, vol. 119(2), pages 147-169, October.
    18. Robert G. Chambers & Erik Lichtenberg, 1994. "Simple Econometrics of Pesticide Productivity," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 407-417.
    19. Brännlund, Runar & Lundgren, Tommy, 2005. "Swedish Industry and Kyoto – An Assessment of the Effects of the European CO2 Emission Permit Trading System," Umeå Economic Studies 668, Umeå University, Department of Economics.
    20. Ilko Vranki? & Mira Krpan & Jasminka ?ohinger, 2019. "Economic Analysis of Technology and Properties of Legendre-Fenchel Transformations," International Journal of Economic Sciences, International Institute of Social and Economic Sciences, vol. 8(2), pages 159-183, December.

    More about this item

    Keywords

    Identities; homogeneous production functions and firm theory;

    JEL classification:

    • D20 - Microeconomics - - Production and Organizations - - - General
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

    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:col:000089:004974. 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: Universidad De Los Andes-Cede (email available below). General contact details of provider: https://edirc.repec.org/data/ceandco.html .

    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.