A Class of Dynamic Demand Systems

Tian, Guoqiang and Chipman, John S. (1989): A Class of Dynamic Demand Systems. Published in: Advanced Studies in Theoretical and Applied Econometrics , Vol. 15, (1989): pp. 93-116.

Abstract

This paper derives closed-form solutions for the total consumption-expenditure function (i.e. aggregate consumption function), the savings function and the demand functions from a nonstationary intertemporal utility-maximization problem under uncertainty for a class of demand systems, including the linear expenditure system (LES) from the Klein-Rubin-Samuelson (KRS) utility function, the generalized linear expenditure systems (GLES) from the CES and S-branch-tree utility functions, the Almost Ideal Demand System (AIDS) from the PIGLOG class of preferences, and the indirect addilog demand system (IADS). We do so by following Hicks’ and Tintner’s method of maximizing a discounted utility function subject to expected constraints rather than the more fashionable method of maximizing an expected discounted utility function subject to stochastic constraints. Furthermore, the preferences are allowed to vary with the time period. Theoretical analyses for these systems are also given in this paper.

• Item Type: MPRA Paper
• Language: English
• Keywords: Dynamic Demand Systems
• Subjects: D - Microeconomics > D0 - General

References

Allais, M.: 1953, ‘Le comportement de l’homme devant le risqué; critique des postulats et axioms de l’ecole amercaine’, Econometrica, 21, 503-546.

Anderson, G., and R. Blundell: 1985, ‘Empirical Approaches to Dynamic Consumer Demand Behavior’, Working Paper No. 85-23, Department of Economics, McMaster University, Hamilton, Ontario, Canada.

Anderson, G., and M. Browning: 1986, ‘Allocating Expenditure: Demand Systems and the Consumption Function, an Integrated Approach’, Working Paper No. 86-07, Department of Economics, McMaster University, Hamilton, Ontario, Canada.

Barten, A.B.:1969, ‘Maximum Likelihood Estimation of a Complete System of Demand Equations’, European Economic Review, 1, 7-73.

Ben-Tal, A., and A. Ben-Israel: 1987, ‘A recourse Certainty Equivalent for Decisions under Uncertainty’, Department of Industrial Engineering, University of Michigan, Ann Arbor, Michigan, U.S.A.

Blackorby, C., R. Boyce, and R.R. Russell: 1978, ‘Estimation of Demand Systems Generated by the Gorman Polar Form; A Generalization of the S-Branch Utility Tree,’ Econometrica, 46, 345-363.

Brown, M., and D. M. Heien: 1972, ‘The S-Branch Utility Tree: A Generalization of the Linear Expenditure System’, Econometrica, 40, 737-747.

Chipman, J.S.:1985, ‘Estimation of Net-Import Demand Functions for the Federal Republic of. Germany, 1959-1982’, in H. Giersch (ed.), Probleme und Perspektiven der weltwirtschaftlichen Entwicklung, Jahrestag des Vereins fur Socialpolitik, Dunker & Humblot, Berlin, Germany, pp. 197-213.

Chipman, J.S., and G. Tian: 1988b, ‘Generalized Maximum-Likelihood Estimation of the Linear Expenditure System’, manuscript.

Chipman, J.S., and G. Tian: 1988c, ‘A General-Equilibrium Intertemporal Model of An Open Economy’, manuscript.

Chipman, J.S., and G. Tian: 1989, ‘Stochastic Specification and Maximum-Likelihood Estimation of the Linear Expenditure System’, in B. Raj (ed.), Advances in Econometrics and Modelling, Kluwer Academic Publishers, Dordrecht, the Netherlands, pp. 131-142.

Christensen, L. R., D.W. Jorgenson, and L. J. Lau: 1975, ‘Transcendental Logarithmic Utility Functions’, American Economic Review, 65, 367-383.