IDEAS home Printed from https://ideas.repec.org/p/hhs/umnees/0626.html
   My bibliography  Save this paper

The Role of the Hamiltonian in Dynamic Price Index Theory

Author

Listed:
  • Li, Chuan-Zhong

    () (Uppsala University)

  • Löfgren, Karl-Gustaf

    () (Department of Economics, Umeå University)

Abstract

This paper is an attempt to investigate the cost-of-living index problem in a general equilibrium multi-sector growth model. Instead of using the utility function as a compensation criterion as Konüs’ (1924) did in his original contribution, we take advantage of the current-value Hamiltonian in constructing our dynamic price index. Since the Hamiltonian is a constancy-equivalent of future utilities (Weitzman, 1976), the dynamic price index is defined in terms of the minimum expenditure that, under alternative prices, would support the constancy-equivalent-utility level in the future. We show that, when properly deflated by the dynamic price index, the real comprehensive net national product becomes an ideal measure for dynamic welfare comparisons. For some special cases, we show that the dynamic price index reduces to the simple static index.

Suggested Citation

  • Li, Chuan-Zhong & Löfgren, Karl-Gustaf, 2004. "The Role of the Hamiltonian in Dynamic Price Index Theory," Umeå Economic Studies 626, Umeå University, Department of Economics.
  • Handle: RePEc:hhs:umnees:0626
    as

    Download full text from publisher

    File URL: http://www.econ.umu.se/DownloadAsset.action?contentId=62111&languageId=3&assetKey=ues626
    Download Restriction: no

    References listed on IDEAS

    as
    1. Alchian, Armen A & Klein, Benjamin, 1973. "On a Correct Measure of Inflation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 5(1), pages 173-191, Part I Fe.
    2. Pollak, Robert A, 1975. "Subindexes in the Cost of Living Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(1), pages 135-150, February.
    3. Gillingham, Robert, 1983. "Measuring the Cost of Shelter for Homeowners: Theoretical and Empirical Considerations," The Review of Economics and Statistics, MIT Press, vol. 65(2), pages 254-265, May.
    4. H. S. Houthakker, 1952. "Compensated Changes in Quantities and Qualities Consumed," Review of Economic Studies, Oxford University Press, vol. 19(3), pages 155-164.
    5. Goodhart, Charles, 2001. "What Weight Should Be Given to Asset Prices in the Measurement of Inflation?," Economic Journal, Royal Economic Society, vol. 111(472), pages 335-356, June.
    6. Weitzman, Martin L, 2001. " A Contribution to the Theory of Welfare Accounting," Scandinavian Journal of Economics, Wiley Blackwell, vol. 103(1), pages 1-23, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Chuan Zhong & Löfgren, Karl-Gustaf, 2006. "Money Metrics Welfare Measures in Imperfect Markets under Growth," Umeå Economic Studies 694, Umeå University, Department of Economics.

    More about this item

    Keywords

    Dynamic index theory; Hamiltonian; ideal deflator;

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hhs:umnees:0626. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (David Skog). General contact details of provider: http://edirc.repec.org/data/inumuse.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.