IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_1743.html
   My bibliography  Save this paper

Evidence and Implications of Zipf’s Law for Integrated Economies

Author

Listed:
  • Harry P. Bowen
  • Haris Munandar
  • Jean-Marie Viaene

Abstract

This paper considers the distribution of output and productive factors among members of a fully integrated economy (FIE). We demonstrate that each member’s shares of total output and of total factors will be equal. This implies that growth in shares is random. If output and factor shares evolve as reflective geometric Brownian motion, then limiting distribution of these shares will exhibit Zipf’s law. Our empirics support Zipf’s law for U.S. states and for E.U. countries. These findings imply that models characterizing growth of members within an FIE should embody a key assumption: growth process of shares is random and homogeneous.

Suggested Citation

  • Harry P. Bowen & Haris Munandar & Jean-Marie Viaene, 2006. "Evidence and Implications of Zipf’s Law for Integrated Economies," CESifo Working Paper Series 1743, CESifo.
  • Handle: RePEc:ces:ceswps:_1743
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp1743.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ramey, Garey & Ramey, Valerie A, 1995. "Cross-Country Evidence on the Link between Volatility and Growth," American Economic Review, American Economic Association, vol. 85(5), pages 1138-1151, December.
    2. Eaton, Jonathan & Eckstein, Zvi, 1997. "Cities and growth: Theory and evidence from France and Japan," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 443-474, August.
    3. Robert E. Hall & Charles I. Jones, 1999. "Why do Some Countries Produce So Much More Output Per Worker than Others?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 83-116.
    4. Francisco L. Rivera-Batiz & Luis A. Rivera-Batiz, 2018. "Economic Integration and Endogenous Growth," World Scientific Book Chapters, in: Francisco L Rivera-Batiz & Luis A Rivera-Batiz (ed.), International Trade, Capital Flows and Economic Development, chapter 1, pages 3-32, World Scientific Publishing Co. Pte. Ltd..
    5. Baldwin, Richard E. & Martin, Philippe, 2004. "Agglomeration and regional growth," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 60, pages 2671-2711, Elsevier.
    6. Robert J. Barro, 1999. "Determinants of Democracy," Journal of Political Economy, University of Chicago Press, vol. 107(S6), pages 158-183, December.
    7. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    8. William Easterly & Ross Levine, 1997. "Africa's Growth Tragedy: Policies and Ethnic Divisions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(4), pages 1203-1250.
    9. Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, December.
    10. Alicia H. Munnell, 1990. "Why has productivity growth declined? Productivity and public investment," New England Economic Review, Federal Reserve Bank of Boston, issue Jan, pages 3-22.
    11. Gabaix, Xavier & Ioannides, Yannis M., 2004. "The evolution of city size distributions," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 53, pages 2341-2378, Elsevier.
    12. repec:dgr:rugggd:200363 is not listed on IDEAS
    13. Rajan, Raghuram G & Zingales, Luigi, 1998. "Financial Dependence and Growth," American Economic Review, American Economic Association, vol. 88(3), pages 559-586, June.
    14. Barro, Robert J. & Lee, Jong-Wha, 1993. "International comparisons of educational attainment," Journal of Monetary Economics, Elsevier, vol. 32(3), pages 363-394, December.
    15. Michael B. Devereux & Beverly J. Lapham, 1994. "The Stability of Economic Integration and Endogenous Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(1), pages 299-305.
    16. Andrew K. Rose, 2005. "Cities and Countries," NBER Working Papers 11762, National Bureau of Economic Research, Inc.
    17. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    18. Barro, Robert J & Lee, Jong-Wha, 2001. "International Data on Educational Attainment: Updates and Implications," Oxford Economic Papers, Oxford University Press, vol. 53(3), pages 541-563, July.
    19. Timmer, Marcel P. & Ypma, Gerard & Ark, Bart van der, 2003. "IT in the European Union: driving productivity divergence?," GGDC Research Memorandum 200363, Groningen Growth and Development Centre, University of Groningen.
    20. Viaene, Jean-Marie & Zilcha, Itzhak, 2002. "Capital markets integration, growth and income distribution," European Economic Review, Elsevier, vol. 46(2), pages 301-327, February.
    21. Bowen, Harry P & Leamer, Edward E & Sveikauskas, Leo, 1987. "Multicountry, Multifactor Tests of the Factor Abundance Theory," American Economic Review, American Economic Association, vol. 77(5), pages 791-809, December.
    22. Jeffrey D. Sachs & Andrew Warner, 1995. "Economic Reform and the Process of Global Integration," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 26(1, 25th A), pages 1-118.
    23. Duncan Black & Vernon Henderson, 1999. "A Theory of Urban Growth," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 252-284, April.
    24. Duncan Black and Vernon Henderson, 1997. "A Theory of Urban Growth," Working Papers 97-1, Brown University, Department of Economics.
    25. Barro, Robert J & Lee, Jong Wha, 1996. "International Measures of Schooling Years and Schooling Quality," American Economic Review, American Economic Association, vol. 86(2), pages 218-223, May.
    26. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    27. Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
    28. Gasper A. Garofalo & Steven Yamarik, 2002. "Regional Convergence: Evidence From A New State-By-State Capital Stock Series," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 316-323, May.
    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. Heijdra, Ben J. & Ligthart, Jenny E., 2007. "Fiscal policy, monopolistic competition, and finite lives," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 325-359, January.

    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. Harry P. Bowen & Haris Munandar & Jean-Marie Viaene, 2008. "On the Extent of Economic Integration: A Comparison of E.U. Countries and U.S. States," Discussion Paper Series 2008-01, McColl School of Business, Queens University of Charlotte.
    2. Harry P. Bowen & Haris Munandar & Jean-Marie Viaene, 2005. "Zipf's Law for Integrated Economies," Tinbergen Institute Discussion Papers 05-048/2, Tinbergen Institute, revised 06 Feb 2007.
    3. Harry Bowen & Haris Munandar & Jean-Marie Viaene, 2010. "How integrated is the world economy?," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 146(3), pages 389-414, September.
    4. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    5. Harry P. Bowen & Haris Munandar & Jean-Marie Viaene, 2005. "The Limiting Distribution of Production in Integrated Economies: Evidence from US States and EU Countries," Tinbergen Institute Discussion Papers 05-045/2, Tinbergen Institute.
    6. Barro, Robert J & Lee, Jong-Wha, 2001. "International Data on Educational Attainment: Updates and Implications," Oxford Economic Papers, Oxford University Press, vol. 53(3), pages 541-563, July.
    7. Guy Michaels & Ferdinand Rauch & Stephen J. Redding, 2012. "Urbanization and Structural Transformation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 535-586.
    8. Breinlich, Holger & Ottaviano, Gianmarco I.P. & Temple, Jonathan R.W., 2014. "Regional Growth and Regional Decline," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 4, pages 683-779, Elsevier.
    9. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Urban Structure and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 597-624.
    10. Klaus Desmet & Esteban Rossi‐Hansberg, 2010. "On Spatial Dynamics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 43-63, February.
    11. Gries, T. & Grundmann, R. & Palnau, I. & Redlin, M., 2015. "Does technological change drive inclusive industrialization? : A review of major concepts and findings," MERIT Working Papers 2015-044, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    12. Desmet, Klaus & Henderson, J. Vernon, 2015. "The Geography of Development Within Countries," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 1457-1517, Elsevier.
    13. repec:esx:essedp:729 is not listed on IDEAS
    14. Cuberes David, 2009. "A Model of Sequential City Growth," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-41, May.
    15. Klein, Alexander & Leunig, Tim, 2013. "Gibrat’s Law and the British Industrial Revolution," CAGE Online Working Paper Series 146, Competitive Advantage in the Global Economy (CAGE).
    16. T. Gries & R. Grundmann & I. Palnau & M. Redlin, 2017. "Innovations, growth and participation in advanced economies - a review of major concepts and findings," International Economics and Economic Policy, Springer, vol. 14(2), pages 293-351, April.
    17. Markus Eberhardt & Francis Teal, 2011. "Econometrics For Grumblers: A New Look At The Literature On Cross‐Country Growth Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 109-155, February.
    18. Etro, Federico, 2017. "Research in economics and macroeconomics," Research in Economics, Elsevier, vol. 71(3), pages 373-383.
    19. Gilles DURANTON, 2012. "La Croissance Urbaine : Déterminismes Vs Bruit," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 11-30.
    20. Kristian Giesen & Jens Südekum, 2011. "Zipf's law for cities in the regions and the country," Journal of Economic Geography, Oxford University Press, vol. 11(4), pages 667-686, July.
    21. Findeisen, Sebastian & Südekum, Jens, 2008. "Industry churning and the evolution of cities: Evidence for Germany," Journal of Urban Economics, Elsevier, vol. 64(2), pages 326-339, September.

    More about this item

    Keywords

    growth; economic integration; factor price equalization; Zipf's law;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • F15 - International Economics - - Trade - - - Economic Integration
    • F21 - International Economics - - International Factor Movements and International Business - - - International Investment; Long-Term Capital Movements
    • F22 - International Economics - - International Factor Movements and International Business - - - International Migration
    • O57 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - Comparative Studies of Countries

    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:ces:ceswps:_1743. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.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.