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Tricks with Hicks: The EASI Demand System

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  • Arthur Lewbel
  • Krishna Pendakur

Abstract

We invent Implicit Marshallian demands, which combine desirable features of Hicksian and Marshallian demands. We propose and estimate the Exact Affine Stone Index (EASI) implicit Marshallian demand system. Like the Almost Ideal Demand (AID) system, EASI budget shares are linear in parameters given real expenditures. However, unlike the AID, EASI demands can have any rank and its Engel curves can have any shape over real expenditures. EASI error terms equal random utility parameters to account for unobserved preference heterogeneity. EASI demand functions can be estimated using GMM or three stage least squares, and, like AID, an approximate EASI model can be estimated by linear regression. (JEL D11, D12)

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Bibliographic Info

Article provided by American Economic Association in its journal American Economic Review.

Volume (Year): 99 (2009)
Issue (Month): 3 (June)
Pages: 827-63

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Handle: RePEc:aea:aecrev:v:99:y:2009:i:3:p:827-63

Note: DOI: 10.1257/aer.99.3.827
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  1. 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.
  2. 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.
  3. Soest, A.H.O. van & Kooreman, P. & Kapteyn, A.J., 1990. "Coherency and regularity of demand systems with equality and inequality constraints," Discussion Paper 1990-1, Tilburg University, Center for Economic Research.
  4. Pendakur, Krishna, 2002. "Taking prices seriously in the measurement of inequality," Journal of Public Economics, Elsevier, vol. 86(1), pages 47-69, October.
  5. Richard Blundell & Alan Duncan & Krishna Pendakur, 1998. "Semiparametric estimation and consumer demand," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(5), pages 435-461.
  6. Blackorby, Charles & Donaldson, David, 1980. "A Theoretical Treatment of Indices of Absolute Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 107-36, February.
  7. Richard Blundell & Xiaohong Chen & Dennis Kristensen, 2003. "Nonparametric IV estimation of shape-invariant Engel curves," CeMMAP working papers CWP15/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  8. Pollak, Robert A & Wales, Terence J, 1980. "Comparison of the Quadratic Expenditure System and Translog Demand Systems with Alternative Specifications of Demographic Effects," Econometrica, Econometric Society, vol. 48(3), pages 595-612, April.
  9. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August.
  10. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  11. Brown, Bryan W & Walker, Mary Beth, 1989. "The Random Utility Hypothesis and Inference in Demand Systems," Econometrica, Econometric Society, vol. 57(4), pages 815-29, July.
  12. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
  13. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-38, July.
  14. Arthur Lewbel, 2001. "Demand Systems with and without Errors," American Economic Review, American Economic Association, vol. 91(3), pages 611-618, June.
  15. Martin Browning & Pierre-André Chiappori & Arthur Lewbel, . "Estimating Consumption Economies of Scale, Adult Equivalence Scales, and Household Bargaining Power," CAM Working Papers 2003-12, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics, revised Dec 2003.
  16. Donald J. Brown & Rosa L. Matzkin, 1998. "Estimation of Nonparametric Functions in Simultaneous Equations Models, with an Application to Consumer Demand," Cowles Foundation Discussion Papers 1175, Cowles Foundation for Research in Economics, Yale University.
  17. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  18. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  19. Walter Beckert & Richard Blundell, 2004. "Invertibility of Nonparametric Stochastic Demand Functions," Birkbeck Working Papers in Economics and Finance 0406, Birkbeck, Department of Economics, Mathematics & Statistics.
  20. Richard Blundell & Xiaohong Chen & Dennis Kristensen, 2007. "Semi-Nonparametric IV Estimation of Shape-Invariant Engel Curves," Econometrica, Econometric Society, vol. 75(6), pages 1613-1669, November.
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Citations

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Cited by:
  1. Pendakur, Krishna & Scholz, Michael & Sperlich, Stefan, 2010. "Semiparametric indirect utility and consumer demand," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2763-2775, November.
  2. Julien Boelaert, 2013. "A Neural Network Demand System," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00917810, HAL.
  3. Nicholas Oulton, 2009. "How to measure living standards and productivity," LSE Research Online Documents on Economics 28678, London School of Economics and Political Science, LSE Library.
  4. Boonsaeng, Tullaya & Carpio, Carlos E. & Zhen, Chen & Okrent, Abigail M., 2012. "The Effect of Supplemental Nutrition Assistance Program on Food Spending Among Low-Income Households," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124839, Agricultural and Applied Economics Association.
  5. Julien Boelaert, 2013. "A Neural Network Demand System," Documents de travail du Centre d'Economie de la Sorbonne 13081, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  6. Färe, Rolf & Grosskopf, Shawna & Hayes, Kathy J. & Margaritis, Dimitris, 2008. "Estimating demand with distance functions: Parameterization in the primal and dual," Journal of Econometrics, Elsevier, vol. 147(2), pages 266-274, December.
  7. Manisha Chakrabarty & Amita Majumder & Ranjan Ray, 2012. "Preferences, Spatial Prices and Inequality," Monash Economics Working Papers 52-12, Monash University, Department of Economics.
  8. Darwin Cortés & Jorge Eduardo Pérez, 2010. "El consumo de los hogares colombianos, 2006-2007: estimación de sistemas de demanda," DOCUMENTOS DE TRABAJO 007271, UNIVERSIDAD DEL ROSARIO.
  9. Michele De Nadai & Arthur Lewbel, 2012. "Nonparametric Errors in Variables Models with Measurement Errors on both sides of the Equation," Boston College Working Papers in Economics 790, Boston College Department of Economics, revised 01 Jul 2013.
  10. Krishna Pendakur & Stefan Sperlich, 2010. "Semiparametric estimation of consumer demand systems in real expenditure," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(3), pages 420-457.
  11. Wood, Benjamin D.K. & Nelson, Carl H. & Nogueira, Lia, 2012. "Poverty effects of food price escalation: The importance of substitution effects in Mexican households," Food Policy, Elsevier, vol. 37(1), pages 77-85.
  12. William Barnett & Apostolos Serletis, 2008. "Consumer preferences and demand systems," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200801, University of Kansas, Department of Economics, revised Jan 2008.
  13. Laura Blow & Valérie Lechene & Peter Levell, 2012. "Using the CE to Model Household Demand," NBER Chapters, in: Improving the Measurement of Consumer Expenditures National Bureau of Economic Research, Inc.
  14. Castellon, Cesar E. & Boonsaeng, Tullaya & Carpio, Carlos E., 2012. "Demand System Estimation in the Absence of Price Data: an Application of Stone-Lewbel Price Indices," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124819, Agricultural and Applied Economics Association.
  15. Magana-Lemus, David & Isdorj, Ariun & Rosson, C. Parr, III, 2013. "Welfare impacts of increasing food prices in Mexico: an application of unrestricted Engel curves and LA/EASI demand system," 2013 Annual Meeting, February 2-5, 2013, Orlando, Florida 143057, Southern Agricultural Economics Association.
  16. Leffler, Kristyn K. & Carpio, Carlos E. & Boonsaeng, Tullaya, 2012. "Temporal Aggregation and Treatment of Zero Dependent Variables in the Estimation of Food Demand using Cross-Sectional Data," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124913, Agricultural and Applied Economics Association.
  17. Haag, Berthold R. & Hoderlein, Stefan & Pendakur, Krishna, 2009. "Testing and imposing Slutsky symmetry in nonparametric demand systems," Journal of Econometrics, Elsevier, vol. 153(1), pages 33-50, November.
  18. Magaña-Lemus, David & Ishdorj, Ariun & Rosson, C. Parr III, 2013. "Food Demand, Food Prices and Welfare Analysis utilizing EASI model," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150521, Agricultural and Applied Economics Association.

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