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Characterizing Some Gorman Engel Curves

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  • Lewbel, Arthur

Abstract

This paper characterizes all utility derived demand systmes having Engel curves that are linear in both income and an arbitrary function of income. This class encompasses virtually all utility derived demand systems that have been estimated in the past using ag gregate data with explicit treatment of the problem of aggregation ac ross individuals. It includes extensions of the PIGLOG and PIGL class es that have similar properties to these classes, but allow for more general Engel curve shapes. This paper extends W. M. Gorman's study o f these forms primarily by characterizing systems of rank two. The ap plication of the characterized systems to problems of nesting, separa bility, flexibility, Engel curve analysis, estimation, and aggregatio n are briefly discussed. Copyright 1987 by The Econometric Society.

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  • Lewbel, Arthur, 1987. "Characterizing Some Gorman Engel Curves," Econometrica, Econometric Society, vol. 55(6), pages 1451-1459, November.
    • Handle: RePEc:ecm:emetrp:v:55:y:1987:i:6:p:1451-59
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    Cited by:

    1. Shiyuan Chen & Sally Wallace, 2009. "Food Consumption in Jamaica: A Household and Social Behavior," International Center for Public Policy Working Paper Series, at AYSPS, GSU paper0901, International Center for Public Policy, Andrew Young School of Policy Studies, Georgia State University.
    2. Simon Alder & Timo Boppart & Andreas Müller, 2022. "A Theory of Structural Change That Can Fit the Data," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(2), pages 160-206, April.
    3. Ligon, Ethan, 2016. "All \lambda-separable Frisch demands and corresponding utility functions," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt1w13q2f1, Department of Agricultural & Resource Economics, UC Berkeley.
    4. Anton Bondarev, 2008. "Evaluation of Demand Functions for foodstuffs in Russian Economy in 1999–2004," Research Paper Series, Gaidar Institute for Economic Policy, issue 118P, pages 166-166.
    5. Chambers, Robert G. & Pope, Rulon D., 1993. "A Virtually Ideal Production System: Specifying and Estimating the VIPS Model," Working Papers 197785, University of Maryland, Department of Agricultural and Resource Economics.
    6. Rulon D. Pope & Jeffrey T. LaFrance & Timothy K. M.Beatty, 2004. "Building Gorman's Nest," Econometric Society 2004 Australasian Meetings 26, Econometric Society.
    7. Laisney, François, 1991. "Mikroökonometrische Untersuchung von Aggregationsproblemen: Eine partielle Übersicht," ZEW Discussion Papers 91-03, ZEW - Leibniz Centre for European Economic Research.
    8. Soregaroli, Claudio & Huff, Karen & Meilke, Karl D., 2002. "Demand System Choice Based On Testing The Engel Curve Specification," Working Papers 34139, University of Guelph, Department of Food, Agricultural and Resource Economics.
    9. LaFrance, J. T. & Beatty, T. K. M. & Pope, R. D. & Agnew, G. K., 2002. "Information theoretic measures of the income distribution in food demand," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 235-257, March.
    10. Belloni, Alexandre & Chernozhukov, Victor & Chetverikov, Denis & Fernández-Val, Iván, 2019. "Conditional quantile processes based on series or many regressors," Journal of Econometrics, Elsevier, vol. 213(1), pages 4-29.
    11. Jorge Alberto Rosas Flores & David Morillón Gálvez & Rodolfo Silva, 2024. "Effects of Removing Energy Subsidies and Implementing Carbon Taxes on Urban, Rural and Gender Welfare: Evidence from Mexico," Energies, MDPI, vol. 17(9), pages 1-17, May.
    12. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters, in: Money And The Economy, chapter 13, pages 247-277, World Scientific Publishing Co. Pte. Ltd..
    13. Kübler, F. & Polemarchakis, H., 2024. "Identification in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    14. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    15. van Daal, Jan & Merkies, Arnold H Q M, 1989. "A Note on the Quadratic Expenditure Model," Econometrica, Econometric Society, vol. 57(6), pages 1439-1443, November.
    16. Rahkovsky, Ilya & Jo, Young & Carlson, Andrea, 2018. "Consumers Balance Time and Money in Purchasing Convenience Foods," Economic Research Report 276227, United States Department of Agriculture, Economic Research Service.
    17. Richard E. Just & Rulon D. Pope, 2012. "Cost Function Estimation with Proportional Errors in Variables," International Econometric Review (IER), Econometric Research Association, vol. 4(2), pages 59-81, September.
    18. Simona Bigerna & Carlo Andrea Bollino & Maria Chiara D’Errico, 2020. "A general expenditure system for estimation of consumer demand functions," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 37(3), pages 1071-1088, October.
    19. Jean-Marc Robin, 1999. "Econométrie des systèmes de demande," Économie et Statistique, Programme National Persée, vol. 324(1), pages 135-142.

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