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On the Number and Size of Cities

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  • Tabuchi, Takatoshi
  • Thisse, Jacques-François
  • 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.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3386.

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Date of creation: May 2002
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Handle: RePEc:cpr:ceprdp:3386

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Keywords: agglomeration; city; multi-regional system; multiplicity of equilibria; transport costs; urban costs;

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References

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  1. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411, April.
  2. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-FranÁois Thisse, 2002. "Agglomeration and Trade Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 409-436, May.
  3. Zeng, Dao-Zhi, 2002. "Equilibrium stability for a migration model," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 123-138, January.
  4. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-56, September.
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  6. Keith Head & Thierry Mayer, 2000. "Non-Europe: The magnitude and causes of market fragmentation in the EU," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 136(2), pages 284-314, June.
  7. Takatoshi Tabuchi & Dao-Zhi Zeng, 2004. "Stability of Spatial Equilibrium," Journal of Regional Science, Wiley Blackwell, vol. 44(4), pages 641-660.
  8. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-99, June.
  9. Victor Ginsburgh & Yorgo Papageorgiou & Jacques-François Thisse, 1985. "On existence and stability of spatial equilibria and steady-states," ULB Institutional Repository 2013/99282, ULB -- Universite Libre de Bruxelles.
  10. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
  11. 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.
  12. Tabuchi, Takatoshi & Thisse, Jacques-François, 2002. "Regional Specialization and Transport Costs," CEPR Discussion Papers 3542, C.E.P.R. Discussion Papers.
  13. 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.
  14. McCallum, John, 1995. "National Borders Matter: Canada-U.S. Regional Trade Patterns," American Economic Review, American Economic Association, vol. 85(3), pages 615-23, June.
  15. repec:cup:cbooks:9780521801386 is not listed on IDEAS
  16. 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.
  17. T Tabuchi, 1986. "Existence and stability of city-size distribution in the gravity and logit models," Environment and Planning A, Pion Ltd, London, vol. 18(10), pages 1375-1389, October.
  18. 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.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. Kristian Behrens & Frédéric Robert-Nicoud, 2008. "Survival of the Fittest in Cities: Agglomeration, Selection and Polarisation," SERC Discussion Papers 0012, Spatial Economics Research Centre, LSE.
  4. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2009. "Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models," MPRA Paper 21738, University Library of Munich, Germany, revised 25 Dec 2009.
  5. PICARD, Pierre & TABUCHI, Takatoshi, 2003. "Natural agglomeration," CORE Discussion Papers 2003101, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. PICARD, Pierre M. & TABUCHI, Takatoshi, . "Self-organized agglomerations and transport costs," CORE Discussion Papers RP -2182, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. Jens Südekum, 2009. "Regional costs-of-living with congestion and amenity differences: an economic geography perspective," The Annals of Regional Science, Springer, vol. 43(1), pages 49-69, March.
  9. Kim, Ho Yeon, 2012. "Shrinking population and the urban hierarchy," IDE Discussion Papers 360, Institute of Developing Economies, Japan External Trade Organization(JETRO).
  10. Masahisa Fujita & Tomoya Mori, 2005. "Frontiers of the New Economic Geography," KIER Working Papers 604, Kyoto University, Institute of Economic Research.
  11. Kristian Behrens & Frédéric Robert-Nicoud, 2009. "Survival of the Fittest in Cities: Agglomeration, Polarization, and Income Inequality," Cahiers de recherche 0919, CIRPEE.
  12. 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.

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