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Tricks With Hicks: The EASI Demand System

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  • Arthur Lewbel

    ()
    (Boston College)

  • Krishna Pendakur

    (Simon Fraser University)

Abstract

We invent Implicit Marshallian Demands, a new type of demand function that combines desirable features of Hicksian and Marshallian demand functions. 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 be polynomials or splines of any order in real expenditures. EASI error terms equal random utility parameters to account for unobserved preference heterogeneity. EASI demand functions can be estimated using ordinary GMM, and, like AID, an approximate EASI model can be estimated by linear regression.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 651.

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Length: 51 pages
Date of creation: 04 Sep 2006
Date of revision: 26 Nov 2008
Publication status: Published, American Economic Review, June 2009
Handle: RePEc:boc:bocoec:651

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Keywords: Consumer demand; Demand systems; Hicks; Marshallian; Cost functions; Expenditure functions; Utility; Engel curves.;

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  1. 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.
  2. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  3. 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.
  4. 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.
  5. 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.
  6. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
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  8. 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.
  9. Arthur Lewbel, 2001. "Demand Systems with and without Errors," American Economic Review, American Economic Association, vol. 91(3), pages 611-618, June.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August.
  16. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  17. Pendakur, Krishna, 2002. "Taking prices seriously in the measurement of inequality," Journal of Public Economics, Elsevier, vol. 86(1), pages 47-69, October.
  18. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
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  20. 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.
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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Nicholas Oulton, 2009. "How to Measure Living Standards and Productivity," CEP Discussion Papers dp0949, Centre for Economic Performance, LSE.
  7. Paris, Quirino & Caracciolo, Francesco, 2014. "Testing the Adding Up Condition in Demand Systems," Working Papers 171748, University of California, Davis, Department of Agricultural and Resource Economics.
  8. Norris, Sam & Pendakur, Krishna, 2014. "Consumption Inequality in Canada, 1997 to 2009," CLSSRN working papers clsrn_admin-2014-29, Vancouver School of Economics, revised 16 Jun 2014.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. Julien Boelaert, 2013. "A Neural Network Demand System," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00917810, HAL.
  15. 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.
  16. Laura Blow & Valérie Lechene & Peter Levell, 2014. "Using the CE to Model Household Demand," NBER Chapters, in: Improving the Measurement of Consumer Expenditures National Bureau of Economic Research, Inc.
  17. 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.
  18. Manisha Chakrabarty & Amita Majumder & Ranjan Ray, 2012. "Preferences, Spatial Prices and Inequality," Development Research Unit Working Paper Series 52-12, Monash University, Department of Economics.
  19. 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.
  20. 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.

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