Evidence and Implications of Zipf’s Law for Integrated Economies
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 andfactor 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.Download Info
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.Bibliographic Info
Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 1743.Length:
Date of creation: 2006
Date of revision:
Handle: RePEc:ces:ceswps:_1743
Contact details of provider:
Postal: Poschingerstrasse 5, 81679 Munich
Phone: +49 (89) 9224-0
Fax: +49 (89) 985369
Email:
Web page: http://www.cesifo.de
More information through EDIRC
Related research
Keywords: growth; economic integration; factor price equalization; Zipf’s law;Other versions of this item:
- Bowen, H. & Munandar, H. & Viaene, J.M., 2006. "Evidence and implications of zipf’s law for integrated economies," Vlerick Leuven Gent Management School Working Paper Series 2006-03, Vlerick Leuven Gent Management School.
- 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, Technological Change, and Growth - - Economywide Country Studies - - - Comparative Studies of Countries
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-08-05 (All new papers)
- NEP-GEO-2006-08-05 (Economic Geography)
- NEP-MAC-2006-08-05 (Macroeconomics)
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Garey Ramey & Valerie A. Ramey, 1994.
"Cross-Country Evidence on the Link Between Volatility and Growth,"
NBER Working Papers
4959, National Bureau of Economic Research, Inc.
- 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 1138-51, December.
- Viaene, Jean-Marie & Zilcha, Itzhak, 2002. "Capital markets integration, growth and income distribution," European Economic Review, Elsevier, vol. 46(2), pages 301-327, February.
- 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.
- Jonathan Eaton & Zvi Eckstein, 1994. "Cities and Growth: Theory and Evidence from france and Japan," Boston University - Institute for Economic Development 36, Boston University, Institute for Economic Development.
- Jonathan Eaton & Zvi Eckstein, 1994. "Cities and Growth: Theory and Evidence from France and Japan," NBER Working Papers 4612, National Bureau of Economic Research, Inc.
- 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.
- Harry P. Bowen & Edward E. Leamer & Leo Sveikauskas, 1986. "Multicountry, Multifactor Tests of the Factor Abundance Theory," NBER Working Papers 1918, National Bureau of Economic Research, Inc.
- Robert E. Hall & Charles I. Jones, 1999.
"Why Do Some Countries Produce So Much More Output per Worker than Others?,"
NBER Working Papers
6564, National Bureau of Economic Research, Inc.
- 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, MIT Press, vol. 114(1), pages 83-116, February.
- Luis A. Rivera-Batiz & Paul M. Romer, 1990.
"Economic Integration and Endogenous Growth,"
NBER Working Papers
3528, National Bureau of Economic Research, Inc.
- Rivera-Batiz, Luis A & Romer, Paul M, 1991. "Economic Integration and Endogenous Growth," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 531-55, May.
- Devereux, M.B. & Lapham, B.J., 1993.
"The Stability of Economic Integration and Endogenous Growth,"
UBC Departmental Archives
93-08, UBC Department of Economics.
- Devereux, Michael B & Lapham, Beverly J, 1994. "The Stability of Economic Integration and Endogenous Growth," The Quarterly Journal of Economics, MIT Press, vol. 109(1), pages 299-305, February.
- Michael B. Devereux & Beverly J. Lapham, 1993. "The Stability of Economics Integration and Endogenous Growth," Working Papers 878, Queen's University, Department of Economics.
- Easterly, William & Levine, Ross, 1997.
"Africa's Growth Tragedy: Policies and Ethnic Divisions,"
The Quarterly Journal of Economics,
MIT Press, vol. 112(4), pages 1203-50, November.
- Easterly, W & Levine, R, 1996. "Africa's Growth Tragedy : Policies and Ethnic Divisions," Papers 536, Harvard - Institute for International Development.
- Robert J. Barro, 1999.
"Determinants of Democracy,"
Journal of Political Economy,
University of Chicago Press, vol. 107(S6), pages S158-S183, December.
- Barro, Robert J., 1999. "Determinants of Democracy," Scholarly Articles 3451297, Harvard University Department of Economics.
- Xavier Gabaix & Yannis M. Ioannides, 2003.
"The Evolution of City Size Distributions,"
Discussion Papers Series, Department of Economics, Tufts University
0310, Department of Economics, Tufts University.
- 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.
- Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
- 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 541-63, July.
- Robert J. Barro & Jong-Wha Lee, 2000. "International Data on Educational Attainment Updates and Implications," NBER Working Papers 7911, National Bureau of Economic Research, Inc.
- Robert J. Barro & Jong-Wha Lee, 2000. "International Data on Educational Attainment: Updates and Implications," CID Working Papers 42, Center for International Development at Harvard University.
- Lucas, Robert E, Jr, 1990. "Why Doesn't Capital Flow from Rich to Poor Countries?," American Economic Review, American Economic Association, vol. 80(2), pages 92-96, May.
- 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.
- Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
- 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.
- Baldwin, Richard & Martin, Philippe, 2003.
"Agglomeration and Regional Growth,"
CEPR Discussion Papers
3960, C.E.P.R. Discussion Papers.
- 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.
- 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.
- 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.
- Jeffrey Sachs & Andrew Warner, 1995. "Economic Reform and the Progress of Global Integration," Harvard Institute of Economic Research Working Papers 1733, Harvard - Institute of Economic Research.
- Rajan, Raghuram G & Zingales, Luigi, 1998.
"Financial Dependence and Growth,"
American Economic Review,
American Economic Association, vol. 88(3), pages 559-86, June.
- Raghuram G. Rajan & Luigi Zingales, . "Financial Dependence and Growth," CRSP working papers 344, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- Raghuram G. Rajan & Luigi Zingales, 1996. "Financial Dependence and Growth," NBER Working Papers 5758, National Bureau of Economic Research, Inc.
- Robert J. Barro & Jong-Wha Lee, 1993.
"International Comparisons of Educational Attainment,"
NBER Working Papers
4349, National Bureau of Economic Research, Inc.
- Barro, Robert J. & Lee, Jong-Wha, 1993. "International comparisons of educational attainment," Journal of Monetary Economics, Elsevier, vol. 32(3), pages 363-394, December.
- 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.
- Rose, Andrew K, 2005.
"Cities and Countries,"
CEPR Discussion Papers
5235, C.E.P.R. Discussion Papers.
- Andrew K. Rose, 2005. "Cities and Countries," NBER Working Papers 11762, National Bureau of Economic Research, Inc.
- 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 218-23, May.
- Mankiw, N Gregory & Romer, David & Weil, David N, 1992.
"A Contribution to the Empirics of Economic Growth,"
The Quarterly Journal of Economics,
MIT Press, vol. 107(2), pages 407-37, May.
- N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," NBER Working Papers 3541, National Bureau of Economic Research, Inc.
- Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
- 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.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Altavilla, C & De Grauwe, Paul, 2006.
"Forecasting and combining competing models of exchange rate determination,"
Open Access publications from Katholieke Universiteit Leuven
urn:hdl:123456789/120865, Katholieke Universiteit Leuven.
- Carlo Altavilla & Paul De Grauwe, 2010. "Forecasting and combining competing models of exchange rate determination," Applied Economics, Taylor and Francis Journals, vol. 42(27), pages 3455-3480.
- Altavilla, Carlo & De Grauwe, Paul, 2010. "Forecasting and combining competing models of exchange rate determination," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/234426, Katholieke Universiteit Leuven.
- Altavilla, Carlo & De Grauwe, Paul, 2010. "Forecasting and combining competing models of exchange rate determination," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/288330, Katholieke Universiteit Leuven.
- Carlo Altavilla & Paul De Grauwe, 2006. "Forecasting and Combining Competing Models of Exchange Rate Determination," CESifo Working Paper Series 1747, CESifo Group Munich.
- Carlo Altavilla & Paul De Grauwe, 2006. "Forecasting and Combining Competing Models of Exchange rate Determination," Discussion Papers 5_2006, D.E.S. (Department of Economic Studies), University of Naples "Parthenope", Italy.
Lists
This item is featured on the following reading lists or Wikipedia pages:Statistics
Access and download statisticsCorrections
When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_1743For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Julio Saavedra).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 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.

