IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/12319.html
   My bibliography  Save this paper

The Differential Approach to Demand Analysis and the Rotterdam Model

Author

Listed:
  • Barnett, William A.
  • Serletis, Apostolos

Abstract

This paper presents the differential approach to applied demand analysis. The demand systems of this approach are general, having coefficients which are not necessarily constant. We consider the Rotterdam parameterization of differential demand systems and derive the absolute and relative price versions of the Rotterdam model, due to Theil (1965) and Barten (1966). We address estimation issues and point out that, unlike most parametric and semi-nonparametric demand systems, the Rotterdam model is econometrically regular.

Suggested Citation

  • Barnett, William A. & Serletis, Apostolos, 2008. "The Differential Approach to Demand Analysis and the Rotterdam Model," MPRA Paper 12319, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:12319
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/12319/1/MPRA_paper_12319.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    2. Barnett, William A, 1983. "New Indices of Money Supply and the Flexible Laurent Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(1), pages 7-23, January.
    3. R. P. Byron, 1970. "A Simple Method for Estimating Demand Systems under Separable Utility Assumptions," Review of Economic Studies, Oxford University Press, vol. 37(2), pages 261-274.
    4. William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, University Library of Munich, Germany.
    5. Ogaki, Masao, 1992. "Engel's Law and Cointegration," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 1027-1046, October.
    6. Diewert, W E & Wales, T J, 1988. "Normalized Quadratic Systems of Consumer Demand Functions," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 303-312, July.
    7. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    8. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
    9. Barten, A. P., 1969. "Maximum likelihood estimation of a complete system of demand equations," European Economic Review, Elsevier, vol. 1(1), pages 7-73.
    10. William Barnett & Meenakshi Pasupathy, 2003. "Regularity of the Generalized Quadratic Production Model: A Counterexample," Econometric Reviews, Taylor & Francis Journals, vol. 22(2), pages 135-154.
    11. Arthur Lewbel & Serena Ng, 2005. "Demand Systems with Nonstationary Prices," The Review of Economics and Statistics, MIT Press, vol. 87(3), pages 479-494, August.
    12. BARTEN, Anton P., 1967. "Evidence on the Slutsky conditions for demand equations," LIDAM Reprints CORE 8, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    14. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-383, June.
    15. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
    16. William A. Barnett, 1979. "Theoretical Foundations for the Rotterdam Model," Review of Economic Studies, Oxford University Press, vol. 46(1), pages 109-130.
    17. Barnett, William A., 2002. "Tastes and technology: curvature is not sufficient for regularity," Journal of Econometrics, Elsevier, vol. 108(1), pages 199-202, May.
    18. Barnett, William A. & Jonas, Andrew B., 1983. "The Muntz-Szatz demand system : An application of a globally well behaved series expansion," Economics Letters, Elsevier, vol. 11(4), pages 337-342.
    19. William A. Barnett & Ousmane Seck, 2008. "Rotterdam model versus almost ideal demand system: will the best specification please stand up?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(6), pages 795-824.
    20. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    21. Barnett, William A, 1979. "The Joint Allocation of Leisure and Goods Expenditure," Econometrica, Econometric Society, vol. 47(3), pages 539-563, 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. Clements, Kenneth W. & Gao, Grace, 2015. "The Rotterdam demand model half a century on," Economic Modelling, Elsevier, vol. 49(C), pages 91-103.
    2. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    3. Sun, Changyou, 2014. "Recent growth in China's roundwood import and its global implications," Forest Policy and Economics, Elsevier, vol. 39(C), pages 43-53.

    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. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    2. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    3. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    4. Serletis, Apostolos & Xu, Libo, 2021. "The welfare cost of inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 128(C).
    5. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    6. Serletis, Apostolos & Shahmoradi, Asghar, 2010. "Consumption effects of government purchases," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 892-905, September.
    7. Nurul Hossain, A.K.M. & Serletis, Apostolos, 2017. "A century of interfuel substitution," Journal of Commodity Markets, Elsevier, vol. 8(C), pages 28-42.
    8. William A. Barnett & Isaac Kalonda Kanyama, 2013. "Time-varying parameters in the almost ideal demand system and the Rotterdam model: will the best specification please stand up?," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4169-4183, October.
    9. William Barnett & Ousmane Seck, 2006. "Rotterdam vs Almost Ideal Models: Will the Best Demand Specification Please Stand Up?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200605, University of Kansas, Department of Economics.
    10. Apostolos Serletis & Libo Xu, 2020. "Demand systems with heteroscedastic disturbances," Empirical Economics, Springer, vol. 58(4), pages 1913-1921, April.
    11. William A. Barnett & Ousmane Seck, 2008. "Rotterdam model versus almost ideal demand system: will the best specification please stand up?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(6), pages 795-824.
    12. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters, in: Money And The Economy, chapter 13, pages 247-277, World Scientific Publishing Co. Pte. Ltd..
    13. Apostolos Serletis & Maksim Isakin, 2017. "Stochastic volatility demand systems," Econometric Reviews, Taylor & Francis Journals, vol. 36(10), pages 1111-1122, November.
    14. Jin, Man, 2018. "Measuring substitution in China's monetary-assets demand system," China Economic Review, Elsevier, vol. 50(C), pages 117-132.
    15. Adrian R. Fleissig, 2016. "Changing Trends in U.S. Alcohol Demand," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 44(3), pages 263-276, September.
    16. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, September.
    17. Chang, Dongfeng & Serletis, Apostolos, 2012. "Imposing local curvature in the QUAIDS," Economics Letters, Elsevier, vol. 115(1), pages 41-43.
    18. Dongfeng Chang & Apostolos Serletis, 2014. "The Demand For Gasoline: Evidence From Household Survey Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(2), pages 291-313, March.
    19. Oliver, Atara Stephanie, 2013. "Information Technology and Transportation: Substitutes or Complements?," MPRA Paper 46548, University Library of Munich, Germany.
    20. Barnett, William A. & Usui, Ikuyasu, 2006. "The Theoretical Regularity Properties of the Normalized Quadratic Consumer Demand Model," MPRA Paper 410, University Library of Munich, Germany.

    More about this item

    Keywords

    differential demand systems; theoretical regularity; econometric regularity;
    All these keywords.

    JEL classification:

    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    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:pra:mprapa:12319. 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: . General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.