IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/417.html
   My bibliography  Save this paper

Rotterdam vs Almost Ideal Models: Will the Best Demand Specification Please Stand Up?

Author

Listed:
  • Barnett, William A.
  • Seck, Ousmane

Abstract

Among the many demand specifications in the literature, the Rotterdam model and the Almost Ideal Demand System (AIDS) have particularly long histories, have been highly developed, and are often applied in consumer demand systems modeling. Using Monte Carlo techniques, we seek to determine which model performs better in terms of its ability to recover the true elasticities of demand. We derive the correct formulae for the AIDS models elasticities, when the Törnqvist or two modified versions of the Stone index are used to linearize the model. The resulting linearized AIDS are compared to the full AIDS.

Suggested Citation

  • Barnett, William A. & Seck, Ousmane, 2006. "Rotterdam vs Almost Ideal Models: Will the Best Demand Specification Please Stand Up?," MPRA Paper 417, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:417
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/417/1/MPRA_paper_417.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Charles Blackorby & R. Robert Russell, 1981. "The Morishima Elasticity of Substitution; Symmetry, Constancy, Separability, and its Relationship to the Hicks and Allen Elasticities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(1), pages 147-158.
    2. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    3. Barnett, William A, 1977. "Recursive Subaggregation and a Generalized Hypocycloidal Demand Model," Econometrica, Econometric Society, vol. 45(5), pages 1117-1136, July.
    4. W.A. Barnett & J.M. Binner, 2004. "The Global Properties of the Minflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 79-97, Emerald Group Publishing Limited.
    5. William A. Barnett & Michael Wolfe, 2004. "The Global Properties of the Two Minflex Laurent Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 141-157, Emerald Group Publishing Limited.
    6. Barten, Anton P, 1977. "The Systems of Consumer Demand Functions Approach: A Review," Econometrica, Econometric Society, vol. 45(1), pages 23-51, January.
    7. William A. Barnett, 1979. "Theoretical Foundations for the Rotterdam Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(1), pages 109-130.
    8. Giancarlo Moschini, 1995. "Units of Measurement and the Stone Index in Demand System Estimation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(1), pages 63-68.
    9. 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.
    10. BARTEN, Anton P., 1968. "Estimating demand equations," LIDAM Reprints CORE 21, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Berndt, Ernst R & Darrough, Masako N & Diewert, W E, 1977. "Flexible Functional Forms and Expenditure Distributions: An Application to Canadian Consumer Demand Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 651-675, October.
    12. Elbadawi, Ibrahim & Gallant, A Ronald & Souza, Geraldo, 1983. "An Elasticity Can Be Estimated Consistently without A Priori Knowledge of Functional Form," Econometrica, Econometric Society, vol. 51(6), pages 1731-1751, November.
    13. Guilkey, David K & Lovell, C A Knox, 1980. "On the Flexibility of the Translog Approximation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 137-147, February.
    14. 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.
    15. Cooper, Russel J & McLaren, Keith R, 1996. "A System of Demand Equations Satisfying Effectively Global Regularity Conditions," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 359-364, May.
    16. 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..
    17. William A. Barnett, 2000. "New Indices of Money Supply and the Flexible Laurent Demand System," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 325-359, Emerald Group Publishing Limited.
    18. Richard Green & Julian M. Alston, 1990. "Elasticities in AIDS Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(2), pages 442-445.
    19. John Muellbauer, 1975. "Aggregation, Income Distribution and Consumer Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 525-543.
    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. BARTEN, Anton P., 1977. "The systems of consumer demand functions approach: A review," LIDAM Reprints CORE 284, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    22. Pashardes, Panos, 1993. "Bias in Estimating the Almost Ideal Demand System with the Stone Index Approximation," Economic Journal, Royal Economic Society, vol. 103(419), pages 908-915, July.
    23. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    24. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, September.
    25. Barnett, William A. & Lee, Yul W. & Wolfe, Michael D., 1985. "The three-dimensional global properties of the minflex laurent, generalized leontief, and translog flexible functional forms," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 3-31.
    26. William A. Barnett & Seungmook Choi, 2004. "A Monte Carlo Study of Tests of Blockwise Weak Separability," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 257-287, Emerald Group Publishing Limited.
    27. 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.
    28. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-999, September.
    29. M. Denny, 1974. "The Relationship Between Functional Forms for the Production System," Canadian Journal of Economics, Canadian Economics Association, vol. 7(1), pages 21-31, February.
    30. Alston, Julian M & Foster, Kenneth A & Green, Richard D, 1994. "Estimating Elasticities with the Linear Approximate Almost Ideal Demand System: Some Monte Carlo Results," The Review of Economics and Statistics, MIT Press, vol. 76(2), pages 351-356, May.
    31. Julian M. Alston & James A. Chalfant, 1993. "The Silence of the Lambdas: A Test of the Almost Ideal and Rotterdam Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(2), pages 304-313.
    32. 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.
    33. Caves, Douglas W & Christensen, Laurits R, 1980. "Global Properties of Flexible Functional Forms," American Economic Review, American Economic Association, vol. 70(3), pages 422-432, June.
    34. W.A. Barnett, 2004. "The Minflex Laurent Translog Flexible Functional Form," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 99-110, Emerald Group Publishing Limited.
    35. Guilkey, David K & Lovell, C A Knox & Sickles, Robin C, 1983. "A Comparison of the Performance of Three Flexible Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 591-616, October.
    36. 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.
    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. Nabil Annabi & Youssef Boudribila & Simon Harvey, 2013. "Labour supply and income distribution effects of the working income tax benefit: a general equilibrium microsimulation analysis," IZA Journal of Labor Policy, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 2(1), pages 1-33, December.
    2. Pampanini, Rossella & Marchini, Andrea & Diotallevi, Francesco, 2010. "A quantitative analysis of olive oil market in Italy," MPRA Paper 40638, University Library of Munich, Germany.
    3. Yeboah, Osei Agyemang & Naanwaab, Cephas B. & Otchere, Richmond, 2015. "Demand for Beef Associated with Country of Origin Labeling," 2015 Annual Meeting, January 31-February 3, 2015, Atlanta, Georgia 196859, Southern Agricultural Economics Association.
    4. Färe, Rolf & Grosskopf, Shawna & Hayes, Kathy J. & Margaritis, Dimitris, 2008. "Estimating demand with distance functions: Parameterization in the primal and dual," Journal of Econometrics, Elsevier, vol. 147(2), pages 266-274, December.
    5. McAleer, Michael & Medeiros, Marcelo C. & Slottje, Daniel, 2008. "A neural network demand system with heteroskedastic errors," Journal of Econometrics, Elsevier, vol. 147(2), pages 359-371, December.
    6. Diotallevi, Francesco, 2010. "L’analisi della domanda degli oli extravergine d’oliva in Italia Un’applicazione del modello A.I.D.S [The analysis of the demand for extra virgin olive oil in Italy An application of the AIDSmodel]," MPRA Paper 41469, University Library of Munich, Germany.
    7. Shibia, Mumina & Rahman, Shaikh & Chidmi, Benaissa, 2017. "Consumer Demand For Meat In Kenya: An Examination Of The Linear Approximate Almost Ideal Demand System," 2017 Annual Meeting, February 4-7, 2017, Mobile, Alabama 252789, Southern Agricultural Economics Association.

    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. 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.
    2. 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..
    3. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    4. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    5. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    6. Sanvi Avouyi-Dovi & Christian Pfister & Franck Sédillot, 2019. "French Households’ Portfolio: The Financial Almost Ideal Demand System Appraisal," Working papers 728, Banque de France.
    7. 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.
    8. Jin, Man, 2018. "Measuring substitution in China's monetary-assets demand system," China Economic Review, Elsevier, vol. 50(C), pages 117-132.
    9. 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.
    10. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    11. Haroon Sarwar & Zakir Hussain & Masood Sarwar, 2011. "A Semi-Nonparametric Approach to the Demand for Money in Pakistan," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 16(2), pages 87-110, Jul-Dec.
    12. Chang, Dongfeng & Serletis, Apostolos, 2012. "Imposing local curvature in the QUAIDS," Economics Letters, Elsevier, vol. 115(1), pages 41-43.
    13. Apostolos Serletis & Libo Xu, 2020. "Demand systems with heteroscedastic disturbances," Empirical Economics, Springer, vol. 58(4), pages 1913-1921, April.
    14. Nurul Hossain, A.K.M. & Serletis, Apostolos, 2017. "A century of interfuel substitution," Journal of Commodity Markets, Elsevier, vol. 8(C), pages 28-42.
    15. Chalfant, James & Wallace, Nancy, 1991. "Testing the Translog Specification with the Fourier Cost Function," CUDARE Working Papers 198581, University of California, Berkeley, Department of Agricultural and Resource Economics.
    16. Oliver, Atara Stephanie, 2013. "Information Technology and Transportation: Substitutes or Complements?," MPRA Paper 46548, University Library of Munich, Germany.
    17. LaFrance, Jeffrey T., 2008. "The structure of US food demand," Journal of Econometrics, Elsevier, vol. 147(2), pages 336-349, December.
    18. Monia Landolsi & Kamel Bel Hadj Miled, 2024. "Semi-Nonparametric Estimation of Energy Demand in Tunisia," International Journal of Energy Economics and Policy, Econjournals, vol. 14(1), pages 254-263, January.
    19. Dumagan, Jesus C. & Mount, Timothy D., 1996. "Global properties of well-behaved demand systems: A generalized logit model specification," Economic Modelling, Elsevier, vol. 13(2), pages 235-256, April.
    20. Chambers, Robert & Färe, Rolf & Grosskopf, Shawna & Vardanyan, Michael, 2013. "Generalized quadratic revenue functions," Journal of Econometrics, Elsevier, vol. 173(1), pages 11-21.

    More about this item

    Keywords

    Rotterdam Model; Almost Ideal Model; consumer demand system; Monte Carlo study; flexible functional forms;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications

    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:417. 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: 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. RePEc uses bibliographic data supplied by the respective publishers.