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On the Number and Size of Cities

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  • Thisse, Jacques-François
  • Tabuchi, Takatoshi
  • Zeng, Dao-Zhi

Abstract

We study the effects of a decrease in trade costs on the spatial distribution of industry in a multi-regional economy, when a rise in the regional population of workers generates higher urban costs. When the number of cities is unaffected by falling trade costs, small cities become smaller for large trade costs, medium-sized cities become smaller for medium values of trade costs, and large cities become smaller for small trade costs. Furthermore, when urban costs are ?identical,? we show that there exists a path of stable equilibria such that the industry, first, experiences progressive agglomeration into a decreasing number of cities and, then, dispersion into a growing number of cities. The second phase arises because of the increasing urban costs associated with the process of agglomeration.

Suggested Citation

  • Thisse, Jacques-François & Tabuchi, Takatoshi & Zeng, Dao-Zhi, 2002. "On the Number and Size of Cities," CEPR Discussion Papers 3386, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:3386
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    References listed on IDEAS

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    1. Fujita, Masahisa & Krugman, Paul, 1995. "When is the economy monocentric?: von Thunen and Chamberlin unified," Regional Science and Urban Economics, Elsevier, vol. 25(4), pages 505-528, August.
    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. 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.
    4. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455, January.
    5. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-François Thisse, 2021. "Agglomeration And Trade Revisited," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 3, pages 59-85, World Scientific Publishing Co. Pte. Ltd..
    6. Pines,David & Sadka,Efraim & Zilcha,Itzhak (ed.), 1998. "Topics in Public Economics," Cambridge Books, Cambridge University Press, number 9780521561365.
    7. Thisse, Jacques-François & Tabuchi, Takatoshi, 2002. "Regional Specialization and Transport Costs," CEPR Discussion Papers 3542, C.E.P.R. Discussion Papers.
    8. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    9. Keith Head & Thierry Mayer, 2000. "Non-Europe: The magnitude and causes of market fragmentation in the EU," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 136(2), pages 284-314, June.
    10. Fujita, Masahisa & Krugman, Paul & Mori, Tomoya, 1999. "On the evolution of hierarchical urban systems1," European Economic Review, Elsevier, vol. 43(2), pages 209-251, February.
    11. William Alonso, 1980. "Five Bell Shapes In Development," Papers in Regional Science, Wiley Blackwell, vol. 45(1), pages 5-16, January.
    12. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411.
    13. Ginsburgh, Victor & Papageorgiou, Yorgo & Thisse, Jacques-Francois, 1985. "On existence and stability of spatial equilibria and steady-states," Regional Science and Urban Economics, Elsevier, vol. 15(2), pages 149-158, June.
    14. Tabuchi, Takatoshi, 1998. "Urban Agglomeration and Dispersion: A Synthesis of Alonso and Krugman," Journal of Urban Economics, Elsevier, vol. 44(3), pages 333-351, November.
    15. T Tabuchi, 1986. "Existence and Stability of City-Size Distribution in the Gravity and Logit Models," Environment and Planning A, , vol. 18(10), pages 1375-1389, October.
    16. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
    17. Takatoshi Tabuchi & Dao‐Zhi Zeng, 2004. "Stability of Spatial Equilibrium," Journal of Regional Science, Wiley Blackwell, vol. 44(4), pages 641-660, November.
    18. McCallum, John, 1995. "National Borders Matter: Canada-U.S. Regional Trade Patterns," American Economic Review, American Economic Association, vol. 85(3), pages 615-623, June.
    19. Zeng, Dao-Zhi, 2002. "Equilibrium stability for a migration model," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 123-138, January.
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    Cited by:

    1. Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2012. "Spatial period-doubling agglomeration of a core–periphery model with a system of cities," Journal of Economic Dynamics and Control, Elsevier, vol. 36(5), pages 754-778.
    2. Behrens, Kristian, 2005. "Market size and industry location: Traded vs non-traded goods," Journal of Urban Economics, Elsevier, vol. 58(1), pages 24-44, July.
    3. Akamatsu, Takashi & Takayama, Yuki, 2009. "A Simplified Approach to Analyzing Multi-regional Core-Periphery Models," MPRA Paper 21739, University Library of Munich, Germany, revised 29 Oct 2009.
    4. Pierre Picard & Takatoshi Tabuchi, 2010. "Self-organized agglomerations and transport costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 565-589, March.
    5. PICARD, Pierre & TABUCHI, Takatoshi, 2003. "Natural agglomeration," LIDAM Discussion Papers CORE 2003101, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Masahisa Fujita & Tomoya Mori, 2005. "Frontiers of the New Economic Geography," Papers in Regional Science, Wiley Blackwell, vol. 84(3), pages 377-405, August.
    7. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    8. Sorek, Gilad, 2009. "Migration costs, commuting costs and intercity population sorting," Regional Science and Urban Economics, Elsevier, vol. 39(4), pages 377-385, July.
    9. Massimo Del Gatto, 2004. "Agglomeration, Integration, and Territorial Authority Scale in a System of Trading Cities. Centralisation versus Devolution," Working Papers 2004.93, Fondazione Eni Enrico Mattei.
    10. Theodore Tsekeris & Klimis Vogiatzoglou, 2011. "Spatial agent-based modeling of household and firm location with endogenous transport costs," Netnomics, Springer, vol. 12(2), pages 77-98, July.
    11. Kristian Behrens & Frédéric Robert-Nicoud, 2008. "Survival of the Fittest in Cities: Agglomeration, Selection and Polarisation," SERC Discussion Papers 0012, Centre for Economic Performance, LSE.
    12. Jens Südekum, 2009. "Regional costs-of-living with congestion and amenity differences: an economic geography perspective," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 43(1), pages 49-69, March.
    13. Theodore Tsekeris & Klimis Vogiatzoglou & Stelios Bekiros, 2011. "Multi-Regional Agent-Based Modeling of Household and Firm Location Choices with Endogenous Transport Costs," ERSA conference papers ersa10p479, European Regional Science Association.
    14. Chincarini, Ludwig & Asherie, Neer, 2008. "An analytical model for the formation of economic clusters," Regional Science and Urban Economics, Elsevier, vol. 38(3), pages 252-270, May.
    15. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2012. "Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1729-1759.
    16. Kristian Behrens & Frédéric Robert-Nicoud, 2009. "Survival of the Fittest in Cities: Agglomeration, Polarization, and Income Inequality," Cahiers de recherche 0919, CIRPEE.
    17. Garmestani, Ahjond S. & Allen, Craig R. & Gallagher, Colin M., 2008. "Power laws, discontinuities and regional city size distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 209-216, October.
    18. Kim, Ho Yeon, 2012. "Shrinking population and the urban hierarchy," IDE Discussion Papers 360, Institute of Developing Economies, Japan External Trade Organization(JETRO).

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    More about this item

    Keywords

    Multi-regional system; Multiplicity of equilibria; City; Agglomeration; Transport costs; Urban costs;
    All these keywords.

    JEL classification:

    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies

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