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Cobb-Douglas Utility - Eventually!

  • Alan A. Powell

    ()

  • Keith R. McLaren

    ()

  • K.R. Pearson
  • Maureen Rimmer

Consider the following two opinions, both of which can be found in the literature of consumer demand systems: (a) As the real income of a consumer becomes indefinitely large, re-mixing the consumption bundle becomes irrelevant: having chosen the ultimately satisfying budget shares at any given set of relative prices, the superlatively wealthy continue to allocate additional income in the same proportions. With very large and increasing per capita income, ultimately the utility function becomes indistinguishable from Cobb-Douglas. (b) Consumer demand systems in which the income elasticities monotonically approach one (from above, in the case of luxuries; from below, in the case of necessities) are unsatisfactory both theoretically and empirically. For instance, a necessity with a low (

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Paper provided by Monash University, Department of Econometrics and Business Statistics in its series Monash Econometrics and Business Statistics Working Papers with number 12/02.

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Length: 23 pages
Date of creation: Sep 2002
Date of revision:
Handle: RePEc:msh:ebswps:2002-12
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  1. John A.L. Cranfield & Thomas W. Hertel & James S. Eales & Paul V. Preckel, 1998. "Changes in the Structure of Global Food Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(5), pages 1042-1050.
  2. W. Jill Harrison & K.R. Pearson, 1994. "Computing Solutions for Large General Equilibrium Models Using GEMPACK," Centre of Policy Studies/IMPACT Centre Working Papers ip-64, Victoria University, Centre of Policy Studies/IMPACT Centre.
  3. Powell, Alan A., 1992. "Sato's insight on the relationship between the Frisch 'parameter' and the average elasticity of substitution," Economics Letters, Elsevier, vol. 40(2), pages 173-175, October.
  4. Maureen T. Rimmer & Alan A. Powell, 1992. "Demand Patterns Across the Development Spectrum: Estimates for the AIDADS System," Centre of Policy Studies/IMPACT Centre Working Papers op-75, Victoria University, Centre of Policy Studies/IMPACT Centre.
  5. Coyle, William T. & Mark Gehlhar & Thomas W. Hertel & Zhi Wang & Wusheng Yu, 1998. "Understanding the Determinants of structural Change in World Food Markets," GTAP Working Papers 260, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University.
  6. John Cranfield & Paul Preckel & James Eales & Thomas Hertel, 2000. "On the estimation of 'an implicitly additive demand system'," Applied Economics, Taylor & Francis Journals, vol. 32(15), pages 1907-1915.
  7. Cooper, Russel J & McLaren, Keith R & Parameswaran, Priya, 1994. "A System of Demand Equations Satisfying Effectively Global Curvature Conditions," The Economic Record, The Economic Society of Australia, vol. 70(208), pages 26-35, March.
  8. Gary K.K. Wong & Keith R. McLaren, 2002. "Regular and Estimable Inverse Demand Systems: A Distance Function Approach," Monash Econometrics and Business Statistics Working Papers 6/02, Monash University, Department of Econometrics and Business Statistics.
  9. Maureen T. Rimmer & Alan A. Powell, 1994. "Engel Flexibility in Household Budget Studies: Non-parametric Evidence versus Standard Functional Forms," Centre of Policy Studies/IMPACT Centre Working Papers op-79, Victoria University, Centre of Policy Studies/IMPACT Centre.
  10. W. Jill Harrison & K.R. Pearson & Alan A. Powell & E. John Small, 1993. "Solving Applied General Equilibrium Models Represented as a Mixture of Linearized and Levels Equation," Centre of Policy Studies/IMPACT Centre Working Papers ip-61, Victoria University, Centre of Policy Studies/IMPACT Centre.
  11. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  12. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  13. Russel J. Cooper & Keith R. McLaren, 1992. "An Empirically Oriented Demand System with Improved Regularity Properties," Canadian Journal of Economics, Canadian Economics Association, vol. 25(3), pages 652-68, August.
  14. Maureen T. Rimmer & Alan A. Powell, 1992. "An Implicitly Directly Additive Demand System: Estimates for Australia," Centre of Policy Studies/IMPACT Centre Working Papers op-73, Victoria University, Centre of Policy Studies/IMPACT Centre.
  15. Mark Horridge, 2000. "ORANI-G: A General Equilibrium Model of the Australian Economy," Centre of Policy Studies/IMPACT Centre Working Papers op-93, Victoria University, Centre of Policy Studies/IMPACT Centre.
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