IDEAS home Printed from https://ideas.repec.org/p/rza/wpaper/335.html
   My bibliography  Save this paper

Time-Varying Parameter in the Almost Ideal Demand System and the Rotterdam Model: Will the Best Specification Please Stand Up?

Author

Listed:
  • William A. Barnett and Isaac Kalonda-Kanyama

Abstract

This paper assesses the ability of the Rotterdam model and of three versions of the almost ideal demand system (AIDS) to recover the time-varying elasticities of a true demand system and to satisfy theoretical regularity. Using Monte Carlo simulations, we find that the Rotterdam model performs better than the linear-approximate AIDS at recovering the signs of all the time-varying elasticities. More importantly, the Rotterdam model has the ability to track the paths of time-varying income elasticities, even when the true values are very high. The linear-approximate AIDS, not only performs poorly at recovering the time-varying elasticities but also badly approximates the nonlinear AIDS.

Suggested Citation

  • William A. Barnett and Isaac Kalonda-Kanyama, 2013. "Time-Varying Parameter in the Almost Ideal Demand System and the Rotterdam Model: Will the Best Specification Please Stand Up?," Working Papers 335, Economic Research Southern Africa.
  • Handle: RePEc:rza:wpaper:335
    as

    Download full text from publisher

    File URL: https://www.econrsa.org/node/679
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Giancarlo Moschini & Karl D. Meilke, 1989. "Modeling the Pattern of Structural Change in U.S. Meat Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(2), pages 253-261.
    2. Alston, Julian M. & Chalfant, James A., 1991. "Can We Take The Con Out Of Meat Demand Studies?," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 16(1), pages 1-13, July.
    3. Barten, A. P., 1969. "Maximum likelihood estimation of a complete system of demand equations," European Economic Review, Elsevier, vol. 1(1), pages 7-73.
    4. Charles Blackorby & R. Robert Russell, 1981. "The Morishima Elasticity of Substitution; Symmetry, Constancy, Separability, and its Relationship to the Hicks and Allen Elasticities," Review of Economic Studies, Oxford University Press, vol. 48(1), pages 147-158.
    5. Kapteyn, Arie, et al, 1997. "Interdependent Preferences: An Econometric Analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(6), pages 665-686, Nov.-Dec..
    6. Basmann, Robert L., 1985. "A Theory of Serial Correlation of Stochastic Taste Changers in Direct Utility Functions," Econometric Theory, Cambridge University Press, vol. 1(2), pages 192-210, August.
    7. 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.
    8. Karni, Edi & Schmeidler, David, 1990. "Fixed Preferences and Changing Tastes," American Economic Review, American Economic Association, vol. 80(2), pages 262-267, May.
    9. Charles Blackorby & Daniel Primont & R. Russell, 2007. "The Morishima gross elasticity of substitution," Journal of Productivity Analysis, Springer, vol. 28(3), pages 203-208, December.
    10. Barnett, William A, 1977. "Recursive Subaggregation and a Generalized Hypocycloidal Demand Model," Econometrica, Econometric Society, vol. 45(5), pages 1117-1136, July.
    11. 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.
    12. Barten, Anton P, 1993. "Consumer Allocation Models: Choice of Functional Form," Empirical Economics, Springer, vol. 18(1), pages 129-158.
    13. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    14. 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.
    15. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762.
    16. Mario Mazzocchi, 2003. "Time-varying coefficients in the Almost Ideal Demand System: an empirical appraisal," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 30(2), pages 241-270, June.
    17. 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.
    18. Pollak, Robert A, 1978. "Endogenous Tastes in Demand and Welfare Analysis," American Economic Review, American Economic Association, vol. 68(2), pages 374-379, May.
    19. Barnett, William A & Choi, Seungmook, 1989. "A Monte Carlo Study of Tests of Blockwise Weak Separability," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(3), pages 363-377, July.
    20. Barten, Anton P, 1977. "The Systems of Consumer Demand Functions Approach: A Review," Econometrica, Econometric Society, vol. 45(1), pages 23-51, January.
    21. 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.
    22. William A. Barnett, 1979. "Theoretical Foundations for the Rotterdam Model," Review of Economic Studies, Oxford University Press, vol. 46(1), pages 109-130.
    23. S. Ichimura, 1950. "A Critical Note on the Definition of Related Goods," Review of Economic Studies, Oxford University Press, vol. 18(3), pages 179-183.
    24. Kapteyn, Arie, et al, 1997. "Interdependent Preferences: An Econometric Analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(6), pages 665-686, Nov.-Dec..
    25. Brown, Mark G. & Lee, Jonq-Ying, 2002. "Restrictions On The Effects Of Preference Variables In The Rotterdam Model," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 34(1), pages 1-10, April.
    26. Doran, Howard E. & Rambaldi, Alicia N., 1997. "Applying linear time-varying constraints to econometric models: With an application to demand systems," Journal of Econometrics, Elsevier, vol. 79(1), pages 83-95, July.
    27. Doan, Thomas, 2011. "State Space Methods in RATS," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 41(i09).
    28. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    29. 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. Zhang, Han & Zhao, Qing & Kuuluvainen, Jari & Wang, Changhai & Li, Shiping, 2015. "Determinants of China's lumber import: A bounds test for cointegration with monthly data," Journal of Forest Economics, Elsevier, vol. 21(4), pages 269-282.
    2. Clements, Kenneth W. & Gao, Grace, 2015. "The Rotterdam demand model half a century on," Economic Modelling, Elsevier, vol. 49(C), pages 91-103.
    3. Irfan, Muhammad & Cameron, Michael P. & Hassan, Gazi, 2018. "Household energy elasticities and policy implications for Pakistan," Energy Policy, Elsevier, vol. 113(C), pages 633-642.
    4. repec:spr:agfoec:v:2:y:2014:i:1:p:1-27 is not listed on IDEAS
    5. repec:spr:hecrev:v:2:y:2014:i:1:p:1-27 is not listed 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. 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.
    2. 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.
    3. 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.
    4. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    5. Barnett, William A. & Serletis, Apostolos, 2008. "The Differential Approach to Demand Analysis and the Rotterdam Model," MPRA Paper 12319, University Library of Munich, Germany.
    6. Clements, Kenneth W. & Gao, Grace, 2015. "The Rotterdam demand model half a century on," Economic Modelling, Elsevier, vol. 49(C), pages 91-103.
    7. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    8. Sanvi Avouyi-Dovi & Christian Pfister & Franck Sédillot, 2019. "French Households’ Portfolio: The Financial Almost Ideal Demand System Appraisal," Working papers 728, Banque de France.
    9. Sarker, Dr. Rakhal & Koto, Prosper & Cassidy, Heather, 2015. "A Demand System for Major Dairy Products in Ontario," 2015 Conference, August 9-14, 2015, Milan, Italy 212689, International Association of Agricultural Economists.
    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. 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..
    12. Jin, Man, 2018. "Measuring substitution in China's monetary-assets demand system," China Economic Review, Elsevier, vol. 50(C), pages 117-132.
    13. Ignacio, Escañuela Romana, 2019. "The elasticities of passenger transport demand in the Northeast Corridor," Research in Transportation Economics, Elsevier, vol. 78(C).
    14. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    15. Serletis, Apostolos & Shahmoradi, Asghar, 2010. "Consumption effects of government purchases," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 892-905, September.
    16. Mora Rodriguez, Jhon James, 2013. "Introduccion a la teoría del consumidor [Introduction to Consumer Theory]," MPRA Paper 48129, University Library of Munich, Germany, revised 08 Jul 2013.
    17. Kenneth W. Clements & Antony Selvanathan & Saroja Selvanathan, 1996. "Applied Demand Analysis: A Survey," The Economic Record, The Economic Society of Australia, vol. 72(216), pages 63-81, March.
    18. Paul Cashin, 1991. "A Model Of The Disaggregated Demand For Meat In Australia," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 35(3), pages 263-283, December.
    19. Brown, Mark G., 2006. "Impact of Income on Price and Income Responses in the Differential Demand System," Research papers 36836, Florida Department of Citrus.
    20. K.W. Clements, 1985. "Alternative Approaches to Consumption Theory," Economics Discussion / Working Papers 85-12, The University of Western Australia, Department of Economics.

    More about this item

    Keywords

    AIDS; Rotterdam model; structural time series models; Monte Carlo experiment; theoretical regularity;
    All these keywords.

    JEL classification:

    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    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:rza:wpaper:335. 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/ersacza.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: Dane Rossenrode (email available below). General contact details of provider: https://edirc.repec.org/data/ersacza.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.