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Natural agglomeration

Author

Listed:
  • PICARD, Pierre
  • TABUCHI, Takatoshi
Abstract
This paper considers the racetrack economic approach, where manufacturing activities are distributed continuously. We seek constant-access equilibria and show that smooth equilibrium distributions are always unstable for almost all transport cost functions, whereas agglomeration in 1 or 2 atomic cities is stable for any economic parameters given regular transport costs, such as linear transport costs.

Suggested Citation

  • PICARD, Pierre & TABUCHI, Takatoshi, 2003. "Natural agglomeration," LIDAM Discussion Papers CORE 2003101, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2003101
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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. 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..
    3. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
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    5. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
    6. Alex Anas, 2004. "Vanishing cities: what does the new economic geography imply about the efficiency of urbanization?," Journal of Economic Geography, Oxford University Press, vol. 4(2), pages 181-199, April.
    7. 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.
    8. Pal, Debashis, 1998. "Does Cournot competition yield spatial agglomeration?," Economics Letters, Elsevier, vol. 60(1), pages 49-53, July.
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    13. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
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    16. 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.
    17. Pascal Mossay, 2003. "Increasing Returns And Heterogeneity In A Spatial Economy," Working Papers. Serie AD 2003-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    18. Anderson, Simon P & Neven, Damien J, 1991. "Cournot Competition Yields Spatial Agglomeration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 793-808, November.
    19. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-1483, September.
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    Citations

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    Cited by:

    1. Toshihiro Matsumura & Daisuke Shimizu, 2008. "A Noncooperative Shipping Cournot Duopoly With Linear‐Quadratic Transport Costs And Circular Space," The Japanese Economic Review, Japanese Economic Association, vol. 59(4), pages 498-518, December.
    2. Behrens, Kristian, 2007. "On the location and lock-in of cities: Geography vs transportation technology," Regional Science and Urban Economics, Elsevier, vol. 37(1), pages 22-45, January.
    3. 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.

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    More about this item

    Keywords

    agglomeration; continuous distribution; asymptotic stability; Fourier series;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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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