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The matrix approach to evaluating demand equations

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  • Kenneth Clements
  • Wana Yang
  • Dongling Chen

Abstract

As there is a plethora of demand models, which one should be used to estimate income and price elasticities? The paper sheds light on this important practical problem by developing a matrix approach to simulating (MAS) demand equations to analyse their performance under idealized circumstances. Artificial data on the dependent variable are generated by one model, and these are then used for the estimation of another model. As an illustrative application, using four popular models, a 4 × 4 matrix is generated which gives all pair-wise comparisons. The performance of the models is then evaluated on the basis of the quality of the income and own-price elasticity estimates.

Suggested Citation

  • Kenneth Clements & Wana Yang & Dongling Chen, 2001. "The matrix approach to evaluating demand equations," Applied Economics, Taylor & Francis Journals, vol. 33(8), pages 957-967.
  • Handle: RePEc:taf:applec:v:33:y:2001:i:8:p:957-967
    DOI: 10.1080/00036840122972
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    1. Decoster, Andre & Schokkaert, Erik, 1990. "Tax reform results with different demand systems," Journal of Public Economics, Elsevier, vol. 41(3), pages 277-296, April.
    2. Ahmad, Ehtisham & Stern, Nicholas, 1984. "The theory of reform and indian indirect taxes," Journal of Public Economics, Elsevier, vol. 25(3), pages 259-298, December.
    3. Clements, Kenneth W & Selvanathan, Saroja, 1994. "Understanding Consumption Patterns," Empirical Economics, Springer, vol. 19(1), pages 69-110.
    4. Howe, Howard & Pollak, Robert A & Wales, Terence J, 1979. "Theory and Time Series Estimation of the Quadratic Expenditure System," Econometrica, Econometric Society, vol. 47(5), pages 1231-1247, September.
    5. Madden, David, 1996. "Marginal Tax Reform and the Specification of Consumer Demand Systems," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 556-567, October.
    6. Theil, Henri & Shonkwiler, J. S. & Taylor, Timothy G., 1985. "A Monte Carlo test of Slutsky symmetry," Economics Letters, Elsevier, vol. 19(4), pages 331-332.
    7. Keller, Wouter J., 1984. "Some simple but flexible differential consumer demand systems," Economics Letters, Elsevier, vol. 16(1-2), pages 77-82.
    8. 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.
    9. Byron, R. P., 1984. "On the flexibility of the Rotterdam model," European Economic Review, Elsevier, vol. 24(3), pages 273-283, April.
    10. Kenneth Clements & Wana Yang & Dongling Chen, 2001. "The matrix approach to evaluating demand equations," Applied Economics, Taylor & Francis Journals, vol. 33(8), pages 957-967.
    11. Selvanathan, Saroja, 1987. "A Monte Carlo test of preference independence," Economics Letters, Elsevier, vol. 25(3), pages 259-261.
    12. Neves, Pedro Duarte, 1994. "A class of differential demand systems," Economics Letters, Elsevier, vol. 44(1-2), pages 83-86.
    13. 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.
    14. Selvanathan, E. Antony, 1985. "An even simpler differential demand system," Economics Letters, Elsevier, vol. 19(4), pages 343-347.
    15. André DECOSTER & Erik SHCOKKAERT, 1989. "Equity and efficiency of a reform of Belgian indirect taxes," Discussion Papers (REL - Recherches Economiques de Louvain) 1989023, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    16. Taylor, Timothy G. & Shonkwiler, J. S. & Theil, Henri, 1986. "Monte Carlo and bootstrap testing of demand homogeneity," Economics Letters, Elsevier, vol. 20(1), pages 55-57.
    17. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    18. 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.
    19. de Boer, P. M. C. & Harkema, R., 1986. "Maximum likelihood estimation of sum-constrained linear models with insufficient observations," Economics Letters, Elsevier, vol. 20(4), pages 325-329.
    20. Terence J. Wales, 1971. "A Generalized Linear Expenditure Model of the Demand for Non-durable Goods in Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 4(4), pages 471-484, November.
    21. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
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    Cited by:

    1. H. Ahammad & N. Islam, 1999. "Estimating the WA Agricultural Production System: A profit function approach," Economics Discussion / Working Papers 99-11, The University of Western Australia, Department of Economics.
    2. Kenneth Clements & Wana Yang & Dongling Chen, 2001. "The matrix approach to evaluating demand equations," Applied Economics, Taylor & Francis Journals, vol. 33(8), pages 957-967.
    3. Kenneth W. Clements & Dongling Chen, 1999. "Simulating Demand Systems," World Scientific Book Chapters, in: World Consumption Economics, chapter 8, pages 198-212, World Scientific Publishing Co. Pte. Ltd..
    4. Michael Gorman, 2005. "Estimation of an implied price elasticity of demand through current pricing practices," Applied Economics, Taylor & Francis Journals, vol. 37(9), pages 1027-1035.
    5. Saroja Selvanathan & E. A. Selvanathan, 2004. "Empirical regularities in South African consumption patterns," Applied Economics, Taylor & Francis Journals, vol. 36(20), pages 2327-2333.

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