IDEAS home Printed from https://ideas.repec.org/p/msh/ebswps/2002-6.html
   My bibliography  Save this paper

Regular and Estimable Inverse Demand Systems: A Distance Function Approach

Author

Listed:
  • Gary K.K. Wong
  • Keith R. McLaren

Abstract

To be useful for realistic policy simulation in an environment of rapid structural change, inverse demand systems must remain regular over substantial variations in quantities. The distance function is a convenient vehicle for generating such systems. While it directly yields Hicksian inverse demand functions, those functions will not usually have an explicit representation in terms of the observable variables. Note however that this problem need not hinder estimation and could be solved by using the numerical inversion estimation approach. This paper develops the formal theory for using distance functions in this context, and demonstrates the operational feasibility of the method.

Suggested Citation

  • Gary K.K. Wong & Keith R. McLaren, 2002. "Regular and Estimable Inverse Demand Systems: A Distance Function Approach," Monash Econometrics and Business Statistics Working Papers 6/02, Monash University, Department of Econometrics and Business Statistics.
  • Handle: RePEc:msh:ebswps:2002-6
    as

    Download full text from publisher

    File URL: http://www.buseco.monash.edu.au/ebs/pubs/wpapers/2002/wp6-02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. James Eales & Catherine Durham & Cathy R. Wessells, 1997. "Generalized Models of Japanese Demand for Fish," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1153-1163.
    2. Eales, James S. & Unnevehr, Laurian J., 1994. "The inverse almost ideal demand system," European Economic Review, Elsevier, vol. 38(1), pages 101-115, January.
    3. Robert H. Beach & Matthew T. Holt, 2001. "Incorporating Quadratic Scale Curves in Inverse Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 230-245.
    4. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    5. repec:hal:spmain:info:hdl:2441/f0uohitsgqh8dhk9820172631 is not listed on IDEAS
    6. Pollak, Robert A. & Wales, Terence J., 1991. "The likelihood dominance criterion : A new approach to model selection," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 227-242, February.
    7. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
    8. Cornes,Richard, 1992. "Duality and Modern Economics," Cambridge Books, Cambridge University Press, number 9780521336017, January.
    9. Blackorby, Charles & Davidson, Russell & Schworm, William, 1991. "Implicit separability: Characterisation and implications for consumer demands," Journal of Economic Theory, Elsevier, vol. 55(2), pages 364-399, December.
    10. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    11. Barten, A. P. & Bettendorf, L. J., 1989. "Price formation of fish : An application of an inverse demand system," European Economic Review, Elsevier, vol. 33(8), pages 1509-1525, October.
    12. 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.
    13. Brown, Mark G & Lee, Jonq-Ying & Seale, James L, Jr, 1995. "A Family of Inverse Demand Systems and Choice of Functional Form," Empirical Economics, Springer, vol. 20(3), pages 519-530.
    14. Cooper, Russel J. & McLaren, Keith R. & Wong, Gary K. K., 2001. "On the empirical exploitation of consumers' profit functions in static analyses," Economics Letters, Elsevier, vol. 72(2), pages 181-187, August.
    15. Beach, Charles M & MacKinnon, James G, 1979. "Maximum Likelihood Estimation of Singular Equation Systems with Autoregressive Disturbances," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 459-464, June.
    16. 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.
    17. Perroni, Carlo & Rutherford, Thomas F., 1995. "Regular flexibility of nested CES functions," European Economic Review, Elsevier, vol. 39(2), pages 335-343, February.
    18. Richard C. Bishop & Matthew T. Holt, 2002. "A semiflexible normalized quadratic inverse demand system: an application to the price formation of fish," Empirical Economics, Springer, vol. 27(1), pages 23-47.
    19. Selvanathan, Saroja, 1991. "The Reliability of ML Estimators of Systems of Demand Equations: Evidence from OECD Countries," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 346-353, May.
    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. Powell, Alan A. & McLaren, Keith R. & Pearson, K.R. & Rimmer, Maureen T., 2002. "Cobb-Douglas Utility - Eventually!," Conference papers 330977, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.

    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. Toshinobu Matsuda, 2007. "Linearizing the inverse quadratic almost ideal demand system," Applied Economics, Taylor & Francis Journals, vol. 39(3), pages 381-396.
    2. Keith R. McLaren & K. K. Gary Wong, 2009. "The Benefit Function Approach to Modeling Price-Dependent Demand Systems: An Application of Duality Theory," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 91(4), pages 1110-1123.
    3. Robert H. Beach & Matthew T. Holt, 2001. "Incorporating Quadratic Scale Curves in Inverse Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 230-245.
    4. Chris Moore & Charles Griffiths, 2018. "Welfare analysis in a two-stage inverse demand model: an application to harvest changes in the Chesapeake Bay," Empirical Economics, Springer, vol. 55(3), pages 1181-1206, November.
    5. Gary Wong & Qiao Yu, 2001. "Inverse Demand Systems for Composite Liquid Assets: Evidence from China," School of Economics and Finance Discussion Papers and Working Papers Series 097, School of Economics and Finance, Queensland University of Technology.
    6. Marsh, Thomas L. & Piggott, Nicholas E., 2013. "Measuring Pre-Commited Quantities Through Consumer Price Formation," 2013 Conference (57th), February 5-8, 2013, Sydney, Australia 152165, Australian Agricultural and Resource Economics Society.
    7. Sooriyakumar Krishnapillai & Sarujan Sathiyamoorthy & Anushiya Sireeranhan, 2020. "Impact of Milk Powder Imports on Local Milk Industry and Consumers Welfare in Sri Lanka," International Journal of Economics and Financial Issues, Econjournals, vol. 10(5), pages 165-170.
    8. Daniele Moro & Paolo Sckokai, 2002. "Functional separability within a quadratic inverse demand system," Applied Economics, Taylor & Francis Journals, vol. 34(3), pages 285-293.
    9. Moschini, G. & Moro, D., 1993. "A Food demand System for Canada," Papers 1-93, Gouvernement du Canada - Agriculture Canada.
    10. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    11. Andrea Mantovi, 2016. "Smooth preferences, symmetries and expansion vector fields," Journal of Economics, Springer, vol. 119(2), pages 147-169, October.
    12. Harri, Ardian & Brorsen, B. Wade & Muhammad, Andrew & Anderson, John D., 2010. "Estimating a Demand System with Seasonally Differenced Data," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 42(2), pages 321-335, May.
    13. Stéphane Blancard & Jean-Philippe Boussemart & Walter Briec & Kristiaan Kerstens, 2006. "Short- and Long-Run Credit Constraints in French Agriculture: A Directional Distance Function Framework Using Expenditure-Constrained Profit Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(2), pages 351-364.
    14. Keith R. McLaren & K.K. Gary Wong, 2009. "Effective global regularity and empirical modelling of direct, inverse, and mixed demand systems," Canadian Journal of Economics, Canadian Economics Association, vol. 42(2), pages 749-770, May.
    15. Panos Fousekis & Brian J. Revell, 2002. "Primary Demand for Red Meats in the United Kingdom," Cahiers d'Economie et Sociologie Rurales, INRA Department of Economics, vol. 63, pages 31-50.
    16. Guy Chapda Nana & Bruno Larue, 2014. "Imposing curvature conditions on flexible functional forms for GNP functions," Empirical Economics, Springer, vol. 47(4), pages 1411-1440, December.
    17. Luis R. Murillo‐Zamorano, 2004. "Economic Efficiency and Frontier Techniques," Journal of Economic Surveys, Wiley Blackwell, vol. 18(1), pages 33-77, February.
    18. K. K. G. Wong, 2013. "Trade distance functions and the derivation of inverse demand for imports," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4160-4168, October.
    19. Xi Chen & Bertrand M. Koebel, 2017. "Fixed Cost, Variable Cost, Markups and Returns to Scale," Annals of Economics and Statistics, GENES, issue 127, pages 61-94.
    20. Rangkakulnuwat, Poomthan & Wang, H. Holly & Ahn, Sung K., 2007. "The inverse imported factor demand system in Thailand: A cointegration analysis," Economics Letters, Elsevier, vol. 94(3), pages 402-407, March.

    More about this item

    Keywords

    Inverse Demands; Distance Functions; Numerical Inversion Estimation Method; Separability.;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

    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:msh:ebswps:2002-6. 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: Professor Xibin Zhang (email available below). General contact details of provider: https://edirc.repec.org/data/dxmonau.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.