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Task Trade and the Size Distribution of Cities

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  • Kohei Nagamachi

    (Faculty of Economics, University of Tokyo)

Abstract

　　 Taking account of the increasing importance of task trade in urban contexts, this paper provides a model of a system of cities in which ex ante identical locations specialize in tasks that differ in their skill intensity, resulting in a unique size distribution of cities. The necessary and sufficient condition for a power law including Zipf's law is derived, and a quantitative analysis shows that the model is consistent with the size distribution of U.S. cities. A welfare analysis is also conducted, suggesting excess agglomeration with sizable welfare loss under laissez-faire.

Suggested Citation

  • Kohei Nagamachi, 2013. "Task Trade and the Size Distribution of Cities," CIRJE F-Series CIRJE-F-886, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2013cf886
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2013/2013cf886.pdf
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    References listed on IDEAS

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    1. Wilhelm Kohler, 2004. "International outsourcing and factor prices with multistage production," Economic Journal, Royal Economic Society, vol. 114(494), pages 166-185, March.
    2. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-656, September.
    3. Robert C. Feenstra & Gene M. Grossman & Douglas A. Irwin (ed.), 1996. "The Political Economy of Trade Policy: Papers in Honor of Jagdish Bhagwati," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061864, December.
    4. Guy Michaels & Ferdinand Rauch & Stephen J Redding, 2019. "Task Specialization in U.S. Cities from 1880 to 2000," Journal of the European Economic Association, European Economic Association, vol. 17(3), pages 754-798.
    5. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
    6. Kristian Behrens & Gilles Duranton & Frédéric Robert-Nicoud, 2014. "Productive Cities: Sorting, Selection, and Agglomeration," Journal of Political Economy, University of Chicago Press, vol. 122(3), pages 507-553.
    7. Gilles Duranton & Diego Puga, 2001. "Nursery Cities: Urban Diversity, Process Innovation, and the Life Cycle of Products," American Economic Review, American Economic Association, vol. 91(5), pages 1454-1477, December.
    8. Feldman, Maryann P. & Audretsch, David B., 1999. "Innovation in cities:: Science-based diversity, specialization and localized competition," European Economic Review, Elsevier, vol. 43(2), pages 409-429, February.
    9. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    10. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    11. Morris A. Davis & Francois Ortalo-Magne, 2011. "Household Expenditures, Wages, Rents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 248-261, April.
    12. Gene M. Grossman & Esteban Rossi-Hansberg, 2008. "Trading Tasks: A Simple Theory of Offshoring," American Economic Review, American Economic Association, vol. 98(5), pages 1978-1997, December.
    13. Daron Acemoglu, 2002. "Directed Technical Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 781-809.
    14. Behrens, Kristian & Mion, Giordano & Murata, Yasusada & Suedekum, Jens, 2017. "Spatial frictions," Journal of Urban Economics, Elsevier, vol. 97(C), pages 40-70.
    15. Avinash K. Dixit & Gene M. Grossman, 1982. "Trade and Protection with Multistage Production," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 583-594.
    16. Klaus Desmet & Esteban Rossi-Hansberg, 2013. "Urban Accounting and Welfare," American Economic Review, American Economic Association, vol. 103(6), pages 2296-2327, October.
    17. 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.
    18. Henderson, J. Vernon & Wang, Hyoung Gun, 2007. "Urbanization and city growth: The role of institutions," Regional Science and Urban Economics, Elsevier, vol. 37(3), pages 283-313, May.
    19. Akos Valentinyi & Berthold Herrendorf, 2008. "Measuring Factor Income Shares at the Sector Level," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 820-835, October.
    20. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    21. Davis, James C. & Henderson, J. Vernon, 2008. "The agglomeration of headquarters," Regional Science and Urban Economics, Elsevier, vol. 38(5), pages 445-460, September.
    22. Kiminori Matsuyama, 2013. "Endogenous Ranking and Equilibrium Lorenz Curve Across (ex ante) Identical Countries," Econometrica, Econometric Society, vol. 81(5), pages 2009-2031, September.
    23. Pflüger, Michael & Tabuchi, Takatoshi, 2010. "The size of regions with land use for production," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 481-489, November.
    24. Wen‐Tai Hsu, 2012. "Central Place Theory and City Size Distribution," Economic Journal, Royal Economic Society, vol. 122(563), pages 903-932, September.
    25. Dornbusch, Rudiger & Fischer, Stanley & Samuelson, Paul A, 1977. "Comparative Advantage, Trade, and Payments in a Ricardian Model with a Continuum of Goods," American Economic Review, American Economic Association, vol. 67(5), pages 823-839, December.
    26. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    27. Lutz Hendricks, 2011. "The Skill Composition Of U.S. Cities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 1-32, February.
    28. J. V. Henderson & J. F. Thisse (ed.), 2004. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 4, number 4.
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