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Aggregation effects on price and expenditure elasticities in a quadratic almost ideal demand system

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 inequality in the income distribution. We explore these 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 unequal income distributions.

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Article provided by Canadian Economics Association in its journal Canadian Journal of Economics.

Volume (Year): 37 (2004)
Issue (Month): 3 (August)
Pages: 613-628

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Handle: RePEc:cje:issued:v:37:y:2004:i:3:p:613-628
Contact details of provider: Postal: Canadian Economics Association Prof. Steven Ambler, Secretary-Treasurer c/o Olivier Lebert, CEA/CJE/CPP Office C.P. 35006, 1221 Fleury Est Montréal, Québec, Canada H2C 3K4
Web page: http://economics.ca/cje/
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  1. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  2. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  3. 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.
  4. 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.
  5. Stoker, Thomas M, 1984. "Completeness, Distribution Restrictions, and the Form of Aggregate Functions," Econometrica, Econometric Society, vol. 52(4), pages 887-907, July.
  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. O'Higgins, Michael & Schmaus, Guenther & Stephenson, Geoffrey, 1989. "Income Distribution and Redistribution: A Microdata Analysis for Seven Countries," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 35(2), pages 107-31, June.
  8. Lewbel, Arthur, 1990. "Income distribution movements and aggregate money illusion," Journal of Econometrics, Elsevier, vol. 43(1-2), pages 35-42.
  9. 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.
  10. 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.
  11. Lewbel, Arthur, 1992. "Aggregation with Log-Linear Models," Review of Economic Studies, Wiley Blackwell, vol. 59(3), pages 635-42, July.
  12. 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.
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