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Flexible And Semiflexible Consumer Demands With Quadratic Engel Curves


  • David L. Ryan
  • Terence J. Wales


In this paper, we introduce three flexible consumer demand systems in which expenditures on goods are quadratic functions of income. We view these alternatives as to the demand systems used heretofore in the empirical modeling of rank-three demands, namely those in which expenditure shares are quadratic functions of the logarithm of income. Curvature conditions required by theory can be imposed locally during the estimation for each, and a semiflexible version can be estimated. For illustrative purposes, we estimate various forms of two of the systems using Canadian data on seven categories of goods for the period 1947 to 1995. © 1999 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology

Suggested Citation

  • David L. Ryan & Terence J. Wales, 1999. "Flexible And Semiflexible Consumer Demands With Quadratic Engel Curves," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 277-287, May.
  • Handle: RePEc:tpr:restat:v:81:y:1999:i:2:p:277-287

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    References listed on IDEAS

    1. Balke, Nathan S. & Wynne, Mark A., 2000. "An equilibrium analysis of relative price changes and aggregate inflation," Journal of Monetary Economics, Elsevier, vol. 45(2), pages 269-292, April.
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    4. Vining, Daniel R, Jr & Elwertowski, Thomas C, 1976. "The Relationship between Relative Prices and the General Price Level," American Economic Review, American Economic Association, vol. 66(4), pages 699-708, September.
    5. George A. Akerlof & William R. Dickens & George L. Perry, 1996. "The Macroeconomics of Low Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(1), pages 1-76.
    6. Laurence Ball & N. Gregory Mankiw, 1995. "Relative-Price Changes as Aggregate Supply Shocks," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 161-193.
    7. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    8. Stephen G. Cecchetti, 1997. "Measuring short-run inflation for central bankers," Review, Federal Reserve Bank of St. Louis, issue May, pages 143-155.
    9. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
    10. N. Gregory Mankiw, 1994. "Monetary Policy," NBER Books, National Bureau of Economic Research, Inc, number greg94-1, January.
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