IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v46y2010i2p163-178.html
   My bibliography  Save this article

On the path-dependence of economic growth

Author

Listed:
  • Bellaïche, Joël

Abstract

The cumulated growth of an economy during a period of time depends on the whole economical history during this period and not only of the situation at the beginning and at the end of the interval. However, if some constraint is made on the set of possible economies, this phenomenon of history-dependence may disappear. We give a simple necessary and sufficient condition on the constraint for this to happen, generalizing results of Samuelson-Swamy and Hulten. Our approach is different, based on differential and symplectic geometry. We also solve the same question for a subsector of the economy.

Suggested Citation

  • Bellaïche, Joël, 2010. "On the path-dependence of economic growth," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 163-178, March.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:2:p:163-178
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(09)00131-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. repec:dau:papers:123456789/6427 is not listed on IDEAS
    2. P. A. Chiappori & I. Ekeland, 1999. "Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint," Econometrica, Econometric Society, vol. 67(6), pages 1435-1458, November.
    3. Sato, Kazuo, 1976. "The Meaning and Measurement of the Real Value Added Index," The Review of Economics and Statistics, MIT Press, vol. 58(4), pages 434-442, November.
    4. Hillinger, Claude, 1970. "Comment on Invariance Axioms and Economic Indexes," Econometrica, Econometric Society, vol. 38(5), pages 773-774, September.
    5. Samuelson, Paul A & Swamy, S, 1974. "Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis," American Economic Review, American Economic Association, vol. 64(4), pages 566-593, September.
    6. Hulten, Charles R, 1973. "Divisia Index Numbers," Econometrica, Econometric Society, vol. 41(6), pages 1017-1025, November.
    7. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    8. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    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. Sun, Ruoyan, 2013. "Kinetics of jobs in multi-link cities with migration-driven aggregation process," Economic Modelling, Elsevier, vol. 30(C), pages 36-41.

    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. W. Erwin Diewert & Kevin J. Fox, 2017. "Decomposing Value Added Growth into Explanatory Factors," Discussion Papers 2017-02, School of Economics, The University of New South Wales.
    2. Barnett, William A. & Choi, Ki-Hong, 2008. "Operational identification of the complete class of superlative index numbers: An application of Galois theory," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 603-612, July.
    3. Nicholas Oulton, 2012. "How To Measure Living Standards And Productivity," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 58(3), pages 424-456, September.
    4. Marshall Reinsdorf & Jack E. Triplett, 2009. "A Review of Reviews: Ninety Years of Professional Thinking About the Consumer Price Index," NBER Chapters, in: Price Index Concepts and Measurement, pages 17-83, National Bureau of Economic Research, Inc.
    5. William A Barnett & Unja Chae & John W Keating, 2012. "Forecast Design In Monetary Capital Stock Measurement," Global Journal of Economics (GJE), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 1-53.
    6. Barnett, William A. & Choi, Ki-Hong & Sinclair, Tara M., 2003. "The Differential Approach to Superlative Index Number Theory," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 35(Supplemen), pages 1-6.
    7. Diewert, Erwin & Fox, Kevin J., 2019. "Productivity Indexes and National Statistics: Theory, Methods and Challenges," Microeconomics.ca working papers erwin_diewert-2019-8, Vancouver School of Economics, revised 25 Apr 2019.
    8. Gregory Kurtzon, 2022. "How much does formula versus chaining matter for a cost‐of‐living index? The CPI‐U versus the C‐CPI‐U," Economic Inquiry, Western Economic Association International, vol. 60(2), pages 645-667, April.
    9. Georganta, Zoe, 1997. "The effect of a free market price mechanism on total factor productivity: The case of the agricultural crop industry in Greece," International Journal of Production Economics, Elsevier, vol. 52(1-2), pages 55-71, October.
    10. Nicholas Oulton, 2023. "The effect of changes in the terms of trade on GDP and welfare: A Divisia approach to the System of National Accounts," Manchester School, University of Manchester, vol. 91(4), pages 261-282, July.
    11. Vartia, Yrjö O., . "Relative Changes and Index Numbers," ETLA A, The Research Institute of the Finnish Economy, number 4.
    12. James Bessen, 2008. "Accounting for Productivity Growth When Technical Change is Biased," Working Papers 0802, Research on Innovation.
    13. Claude Hillinger, 2002. "A General Theory of Price and Quantity Aggregation and Welfare Measurement," CESifo Working Paper Series 818, CESifo.
    14. Susanto Basu & John Fernald, 2001. "Why Is Productivity Procyclical? Why Do We Care?," NBER Chapters, in: New Developments in Productivity Analysis, pages 225-302, National Bureau of Economic Research, Inc.
    15. C. J. O'Donnell, 2012. "Alternative Indexes for Multiple Comparisons of Quantities and Prices," CEPA Working Papers Series WP052012, School of Economics, University of Queensland, Australia.
    16. Hillinger, Claude, 2008. "Measuring Real Value and Inflation," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 2, pages 1-26.
    17. Charles R. Hulten, 2000. "Total Factor Productivity: A Short Biography," NBER Working Papers 7471, National Bureau of Economic Research, Inc.
    18. W. Diewert, 2011. "Measuring productivity in the public sector: some conceptual problems," Journal of Productivity Analysis, Springer, vol. 36(2), pages 177-191, October.
    19. Puah, Chin-Hong & Habibullah, Muzafar Shah & Lau, Evan & Abu Mansor, Shazali, 2006. "Testing long-run monetary neutrality in Malaysia: Revisiting divisia money," MPRA Paper 31750, University Library of Munich, Germany.
    20. Craig, Barbara J. & Pardey, Philip G., 1990. "Multidimensional Output Indices," Staff Papers 13828, University of Minnesota, Department of Applied Economics.

    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:eee:mateco:v:46:y:2010:i:2:p:163-178. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.