Zipf's Law for Integrated Economies
AbstractWe first demonstrate that, within a fully integrated economy (FIE) in which there is free mobility of goods and factors, each FIE member's share of total FIE output will equal its shares of the total FIE stock of each productive factor. This equal-share property implies that, if economic policies are also largely harmonized across FIE members, the growth in any member's output and factor shares can be viewed as a random event. This then implies that the limit distribution of output and factor shares across FIE members will conform to a rank-share distribution that exhibits Zipf's law. This result means that growth models of FIE members must embody the assumption of homogeneity of random growth processes across members. Given its importance for our understanding of underlying growth mechanisms for such members, we empirically examine for evidence of Zipf's law for the distribution of output and factor shares of two (presumably) integrated economies: the 51 US states and 14 countries of the European Union (EU). Our findings support Zipf's law for US states and indicate convergence towards this law among EU countries.
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Bibliographic InfoPaper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 05-048/2.
Date of creation: 17 May 2005
Date of revision: 06 Feb 2007
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Distribution of production; Gibrat's law; integrated economy; rank-share distribution; Zipf's law;
Find related papers by 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, Technological Change, and Growth - - Economywide Country Studies - - - Comparative Studies of Countries
Please 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.:
- Barro, Robert J., 1999.
"Determinants of Democracy,"
3451297, Harvard University Department of Economics.
- 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.
- 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.
- 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," CID Working Papers 42, Center for International Development at Harvard University.
- 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.
- Whitney K. Newey & Kenneth D. West, 1986.
"A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix,"
NBER Technical Working Papers
0055, National Bureau of Economic Research, Inc.
- Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May.
- Luis A. Rivera-Batiz & Paul M. Romer, 1990.
"Economic Integration and Endogenous Growth,"
NBER Working Papers
3528, National Bureau of Economic Research, Inc.
- 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.
- 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, June.
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Baldwin, Richard & Martin, Philippe, 2003.
"Agglomeration and Regional Growth,"
CEPR Discussion Papers
3960, C.E.P.R. Discussion Papers.
- 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.
- Michael B. Devereux & Beverly J. Lapham, 1993.
"The Stability of Economics Integration and Endogenous Growth,"
878, Queen's University, 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.
- 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.
- Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
- 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.
- 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.
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