IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/41387.html
   My bibliography  Save this paper

A Class of Dynamic Demand Systems

Author

Listed:
  • Tian, Guoqiang
  • Chipman, John S.

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.

Suggested Citation

  • Tian, Guoqiang & Chipman, John S., 1989. "A Class of Dynamic Demand Systems," MPRA Paper 41387, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:41387
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/41387/1/MPRA_paper_41387.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Barten, A. P., 1969. "Maximum likelihood estimation of a complete system of demand equations," European Economic Review, Elsevier, vol. 1(1), pages 7-73.
    2. Blackorby, Charles & Boyce, Richard & Russell, R Robert, 1978. "Estimation of Demand Systems Generated by the Gorman Polar Form: A Generalization of the S-Branch Utility Tree," Econometrica, Econometric Society, vol. 46(2), pages 345-363, March.
    3. Brown, Murray & Heien, Dale M, 1972. "The S-Branch Utility Tree: A Generalization of the Linear Expenditure System," Econometrica, Econometric Society, vol. 40(4), pages 737-747, July.
    4. Chipman, John S. & Tian, Guoqiang, 1989. "Stochastic Specification and Maximum-Likelihood Estimation of the Linear Expenditure System," MPRA Paper 41385, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    2. van Daal, J. & Louter, A. S., 1979. "A QUADRATIC ENGEL CURVE DEMAND MODEL (squaring with the representative consumer)," Econometric Institute Archives 272179, Erasmus University Rotterdam.
    3. Rulof Petrus Burger & Lodewicus Charl Coetzee & Carl Friedrich Kreuser & Neil Andrew Rankin, 2017. "Income and Price Elasticities of Demand in South Africa: An Application of the Linear Expenditure System," South African Journal of Economics, Economic Society of South Africa, vol. 85(4), pages 491-514, December.
    4. Stefan Baumgärtner & Moritz A. Drupp & Martin F. Quaas, 2017. "Subsistence, Substitutability and Sustainability in Consumption," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(1), pages 47-66, May.
    5. Richards, Timothy J. & Patterson, Paul M., 1998. "New Varieties and the Returns to Commodity Promotion: Washington Fuji Apples," Working Papers 28541, Arizona State University, Morrison School of Agribusiness and Resource Management.
    6. Steven F. Venti & David A. Wise, 1987. "IRAs and Saving," NBER Chapters, in: The Effects of Taxation on Capital Accumulation, pages 7-52, National Bureau of Economic Research, Inc.
    7. Clements, Kenneth W. & Vo, Long Hai & Mariano, Marc Jim, 2021. "Modelling import penetration," Economic Modelling, Elsevier, vol. 102(C).
    8. Stefan Baumgaertner & Moritz A. Drupp & Martin F. Quaas, 2013. "Subsistence and substitutability in consumer preferences," Working Paper Series in Economics 290, University of Lüneburg, Institute of Economics.
    9. Okrent, Abigail M. & Alston, Julian M., 2011. "Demand for Food in the United States: A Review of Literature, Evaluation of Previous Estimates, and Presentation of New Estimates of Demand," Monographs, University of California, Davis, Giannini Foundation, number 251908, December.
    10. GianCarlo Moschini, 2001. "A Flexible Multistage Demand System Based on Indirect Separability," Southern Economic Journal, John Wiley & Sons, vol. 68(1), pages 22-41, July.
    11. Capps, Oral Jr. & Havlicek, Joseph Jr., 1981. "Criteria For Model Specification Of Demand Systems," 1981 Annual Meeting, July 26-29, Clemson, South Carolina 279294, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    12. Egon Smeral, 1979. "Ein exportallokationsmodell für die westlichen industrielÄnder," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 115(3), pages 450-466, September.
    13. Ray, Ranjan, 1985. "Specification and time series estimation of dynamic Gorman Polar Form demand systems," European Economic Review, Elsevier, vol. 27(3), pages 357-374.
    14. LaFrance, Jeffrey T., 1991. "When Is Expenditure "Exogenous" In Separable Demand Models?," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 16(1), pages 1-14, July.
    15. Nikolay P. Pilnik & Igor Pospelov & Ivan P. Stankevich, 2015. "Multiproduct Model Decomposition of Components of Russian GDP," HSE Working papers WP BRP 111/EC/2015, National Research University Higher School of Economics.
    16. Steven F. Venti & David A. Wise, 1991. "The Saving Effect of Tax-deferred Retirement Accounts: Evidence from SIPP," NBER Chapters, in: National Saving and Economic Performance, pages 103-130, National Bureau of Economic Research, Inc.
    17. Rulof Petrus Burger & Lodewicus Charl Coetzee & Carl Friedrich Kreuser & Neil Andrew Rankin, 2017. "Income and Price Elasticities of Demand in South Africa: An Application of the Linear Expenditure System," South African Journal of Economics, Economic Society of South Africa, vol. 85(4), pages 491-514, December.
    18. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    19. Capps, Oral Jr. & Havlicek, Joseph Jr., 1980. "National And Regional Household Demands For Meats And Seafood In The U.S.: A Complete Systems Approach," 1980 Annual Meeting, July 27-30, Urbana-Champaign, Illinois 278409, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    20. Mazzocchi, Mario, 2006. "Time patterns in UK demand for alcohol and tobacco: an application of the EM algorithm," Computational Statistics & Data Analysis, Elsevier, vol. 50(9), pages 2191-2205, May.

    More about this item

    Keywords

    Dynamic Demand Systems;

    JEL classification:

    • D0 - Microeconomics - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:41387. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.