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Aggregation Effects on Price and Expenditure Elasticities in a Quadratic Almost Ideal Demand System

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Author Info
Frank T. Denton
Dean C. Mountain

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Abstract

While it is well known that demand elasticities calculated at the macro level will in general differ from those calculated at the micro level because of aggregation effects there remain the questions of how large the effects are, and how they vary with the degree of nonuniformity in the income distribution. We explore those questions with models based on a quadratic version of the Almost Ideal Demand System. We investigate the elasticity differences theoretically and then calibrate the models and generate numerical results, using income data for seven countries with widely different distributions. The aggregation effects are found generally to be rather small, even with highly nonuniform income distributions.

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Paper provided by McMaster University in its series Quantitative Studies in Economics and Population Research Reports with number 374.

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Length: 27 pages
Date of creation: Jul 2002
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Handle: RePEc:mcm:qseprr:374

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Related research
Keywords: demand elasticities; aggregation effects; quadratic almost ideal demand system;

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Find related papers by JEL classification:
C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
D10 - Microeconomics - - Household Behavior - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Stoker, Thomas M, 1984. "Completeness, Distribution Restrictions, and the Form of Aggregate Functions," Econometrica, Econometric Society, vol. 52(4), pages 887-907, July. [Downloadable!] (restricted)
  2. O'Higgins, Michael & Schmaus, Guenther & Stephenson, Geoffrey, 1989. "Income Distribution and Redistribution: A Microdata Analysis for Seven Countries," Review of Income and Wealth, Blackwell Publishing, vol. 35(2), pages 107-31, June.
  3. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May. [Downloadable!] (restricted)
  4. Blundell, Richard & Pashardes, Panos & Weber, Guglielmo, 1993. "What Do We Learn About Consumer Demand Patterns from Micro Data?," American Economic Review, American Economic Association, vol. 83(3), pages 570-97, June. [Downloadable!] (restricted)
  5. Lewbel, Arthur, 1992. "Aggregation with Log-Linear Models," Review of Economic Studies, Blackwell Publishing, vol. 59(3), pages 635-42, July. [Downloadable!] (restricted)
  6. Denton, Frank T & Mountain, Dean C & Spencer, Byron G, 1999. "Age, Trend, and Cohort Effects in a Macro Model of Canadian Expenditure Patterns," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 430-43, October.
  7. Stoker, Thomas M, 1993. "Empirical Approaches to the Problem of Aggregation Over Individuals," Journal of Economic Literature, American Economic Association, vol. 31(4), pages 1827-74, December. [Downloadable!] (restricted)
  8. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. Denton, Frank T. & Mountain, Dean C., 2001. "Income distribution and aggregation/disaggregation biases in the measurement of consumer demand elasticities," Economics Letters, Elsevier, vol. 73(1), pages 21-28, October. [Downloadable!] (restricted)
  11. Stoker, Thomas M, 1986. "Simple Tests of Distributional Effects on Macroeconomic Equations," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 763-95, August. [Downloadable!] (restricted)
  12. Lewbel, Arthur, 1990. "Income distribution movements and aggregate money illusion," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 35-42. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Frank T. Denton & Dean C. Mountain, 2007. "Exploring the Effects of Aggregation Error in the Estimation of Consumer Demand Elasticities," Social and Economic Dimensions of an Aging Population Research Papers 226, McMaster University. [Downloadable!]
  2. Bente Halvorsen and Bodil M. Larsen, 2006. "Aggregation with price variation and heterogeneity across consumers," Discussion Papers 489, Research Department of Statistics Norway. [Downloadable!]
  3. Frank Denton & Dean Mountain & Byron Spencer, 2006. "Age, Retirement, and Expenditure Patterns: An Econometric Study of Older Households," Atlantic Economic Journal, International Atlantic Economic Society, vol. 34(4), pages 421-434, December. [Downloadable!] (restricted)
  4. Bente Halvorsen and Bodil M. Larsen, 2008. "The Role of Heterogeneous Demand for Temporal and Structural Aggregation Bias," Discussion Papers 537, Research Department of Statistics Norway. [Downloadable!]
  5. Bente Halvorsen, 2006. "When can micro properties be used to predict aggregate demand?," Discussion Papers 452, Research Department of Statistics Norway. [Downloadable!]
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