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Spatial period-doubling agglomeration of a core–periphery model with a system of cities

  • Ikeda, Kiyohiro
  • Akamatsu, Takashi
  • Kono, Tatsuhito
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    The progress of spatial agglomeration of Krugman's core–periphery model is investigated by comparative static analysis of stable equilibria with respect to transport costs. We set forth theoretically possible agglomeration (bifurcation) patterns for a system of cities spread uniformly on a circle. A possible and most likely course predicted is a gradual and successive one, which is called spatial period doubling. For example, eight cities concentrate into four cities and then into two cities en route to the formation of a single city. The existence of this course is ensured by numerical simulation for the model. Such a gradual and successive agglomeration presents a sharp contrast to the agglomeration of two cities, for which spontaneous concentration to a single city is observed in core–periphery models of various kinds. Other bifurcations that do not take place in two cities, such as period tripling, are also observed. The need for study of a system of cities has thus been demonstrated.

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    File URL: http://www.sciencedirect.com/science/article/pii/S016518891200019X
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    Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

    Volume (Year): 36 (2012)
    Issue (Month): 5 ()
    Pages: 754-778

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    Handle: RePEc:eee:dyncon:v:36:y:2012:i:5:p:754-778
    Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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    1. FUJITA, Masahisa & THISSE, Jacques-François, . "New economic geography: An appraisal on the occasion of Paul Krugman's 2008 Nobel Prize in economic sciences," CORE Discussion Papers RP -2098, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. TABUCHI, Takatoshi & THISSE, Jacques-François, . "A new economic geography model of central places," CORE Discussion Papers RP -2267, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. 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.
    4. 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).
    5. 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.
    6. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
    7. Venables, Anthony J, 1993. "Equilibrium Locations of Vertically Linked Industries," CEPR Discussion Papers 802, C.E.P.R. Discussion Papers.
    8. Maarten Bosker & Steven Brakman & Harry Garretsen & Marc Schramm, 2010. "Adding geography to the new economic geography: bridging the gap between theory and empirics," Journal of Economic Geography, Oxford University Press, vol. 10(6), pages 793-823, November.
    9. 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.
    10. Diego Puga, 1996. "The rise and fall of regional inequalities," LSE Research Online Documents on Economics 20643, London School of Economics and Political Science, LSE Library.
    11. 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.
    12. Berliant, Marcus & Kung, Fan-chin, 2009. "Bifurcations in Regional Migration Dynamics," MPRA Paper 13053, University Library of Munich, Germany.
    13. Tabuchi, Takatoshi & Thisse, Jacques-François & Zeng, Dao-Zhi, 2002. "On the Number and Size of Cities," CEPR Discussion Papers 3386, C.E.P.R. Discussion Papers.
    14. 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.
    15. 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.
    16. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
    17. Oyama, Daisuke, 2006. "History versus Expectations in Economic Geography Reconsidered," MPRA Paper 9287, University Library of Munich, Germany.
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