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Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities

Author

Listed:
  • Ikeda, Kiyohiro
  • Akamatsu, Takashi
  • Kono, Tatsuhito

Abstract

The orientation and progress of spatial agglomeration for Krugman's core--periphery model are investigated in this paper. Possible agglomeration patterns for a system of cities spread uniformly on a circle are set forth theoretically. For example, a possible and most likely course predicted for eight cities is a gradual and successive one---concentration into four cities and then into two cities en route to a single city. The existence of this course is ensured by numerical simulation for the model. Such gradual and successive agglomeration, which is called spatial-period doubling, presents a sharp contrast with the agglomeration of two cities, for which spontaneous concentration to a single city is observed in models of various kinds. It exercises caution about the adequacy of the two cities as a platform of the spatial agglomerations and demonstrates the need of the study on a system of cities.

Suggested Citation

  • Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2009. "Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities," MPRA Paper 25636, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:25636
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    File URL: https://mpra.ub.uni-muenchen.de/25636/1/MPRA_paper_25636.pdf
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    References listed on IDEAS

    as
    1. Behrens, Kristian & Thisse, Jacques-Francois, 2007. "Regional economics: A new economic geography perspective," Regional Science and Urban Economics, Elsevier, vol. 37(4), pages 457-465, July.
    2. Rikard Forslid & Gianmarco I.P. Ottaviano, 2003. "An analytically solvable core-periphery model," Journal of Economic Geography, Oxford University Press, vol. 3(3), pages 229-240, July.
    3. 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.
    4. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    5. Gianmarco I. P. Ottaviano & Diego Puga, 1998. "Agglomeration in the Global Economy: A Survey of the 'New Economic Geography'," The World Economy, Wiley Blackwell, vol. 21(6), pages 707-731, August.
    6. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    7. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
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    More about this item

    Keywords

    Agglomeration of population; Bifurcation; Core-periphery model; Group theory; Spatial period doubling;

    JEL classification:

    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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