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A practical log-linear aggregation method with examples: heterogeneous income growth in the USA

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  • Pedro H. Albuquerque

    (Department of Economics and Finance, Texas A&M International University, Laredo, TX 78041-1920, USA)

Abstract

A practical aggregation method for heterogeneous log-linear functions is presented. Inequality measures are employed in the construction of a simple but exact aggregate representation of an economy. Three macroeconomic applications are discussed: the aggregation of the Lucas supply function, the time-inconsistent behaviour of an egalitarian social planner facing heterogeneous discount rates, and the case of a simple heterogeneous growth model. In the latter application, aggregate CPS data is used to show that the slowdown that followed the first oil shock is worse than usually thought, and that the 'new economy' growth resurgence is not as strong as it appears. The reaction of one man could be forecast by no known mathematics; the reaction of a billion is something else again.-Foundation and Empire, Isaac Asimov (1952) Copyright © 2003 John Wiley & Sons, Ltd.

Suggested Citation

  • Pedro H. Albuquerque, 2003. "A practical log-linear aggregation method with examples: heterogeneous income growth in the USA," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(6), pages 665-678.
  • Handle: RePEc:jae:japmet:v:18:y:2003:i:6:p:665-678
    DOI: 10.1002/jae.715
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    References listed on IDEAS

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    1. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    2. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    3. Orazio P. Attanasio & Guglielmo Weber, 1993. "Consumption Growth, the Interest Rate and Aggregation," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 631-649.
    4. George Loewenstein & Richard H Thaler, 2003. "Anomalies: Intertemporal Choice," Levine's Working Paper Archive 618897000000000784, David K. Levine.
    5. van Garderen, Kees Jan & Lee, Kevin & Pesaran, M. Hashem, 2000. "Cross-sectional aggregation of non-linear models," Journal of Econometrics, Elsevier, vol. 95(2), pages 285-331, April.
    6. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, March.
    7. Stoker, Thomas M, 1986. "Simple Tests of Distributional Effects on Macroeconomic Equations," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 763-795, August.
    8. Lucas, Robert E, Jr, 1973. "Some International Evidence on Output-Inflation Tradeoffs," American Economic Review, American Economic Association, vol. 63(3), pages 326-334, June.
    9. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    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 1827-1874, December.
    11. 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 570-597, June.
    12. Arthur Lewbel, 1992. "Aggregation with Log-Linear Models," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 635-642.
    13. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
    14. Maasoumi, Esfandiar, 1986. "The Measurement and Decomposition of Multi-dimensional Inequality," Econometrica, Econometric Society, vol. 54(4), pages 991-997, July.
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    Cited by:

    1. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
    2. Pedro H. Albuquerque, 2004. "Inequality-Driven Growth: Unveiling Aggregation Effects in Growth Equations," Econometric Society 2004 Far Eastern Meetings 769, Econometric Society.

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