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Pointwise agglomeration in continuous racetrack model

Author

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  • Kensuke Ohtake

    (Osaka University)

  • Atsushi Yagi

    (Osaka University)

Abstract

Using analytical methods they devised, the authors intend to study economic aspects of the racetrack economy described as a continuous-space version of the new economic geography model. The main mathematical conclusions are summarized as follows: 1) Workers and firms agglomerate only to a finite number of cities, and the maximum number of possible emerging cities reduces as the preference for variety increases or the transport cost decreases. 2) The further apart cities are located from each other, the more stable the city configuration is against the increasing preference for variety or the decreasing of the transport cost.

Suggested Citation

  • Kensuke Ohtake & Atsushi Yagi, 2022. "Pointwise agglomeration in continuous racetrack model," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(2), pages 211-235, May.
    • Handle: RePEc:spr:portec:v:21:y:2022:i:2:d:10.1007_s10258-021-00197-5
    DOI: 10.1007/s10258-021-00197-5
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    References listed on IDEAS

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    1. Tabuchi, Takatoshi & Thisse, Jacques-François, 2011. "A new economic geography model of central places," Journal of Urban Economics, Elsevier, vol. 69(2), pages 240-252, March.
    2. 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.
    3. Tabata, Minoru & Eshima, Nobuoki & Sakai, Yuusuke, 2015. "Existence and computation of solutions to the initial value problem for the replicator equation of evolutionary game defined by the Dixit–Stiglitz–Krugman model in an urban setting: Concentration of w," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 419-451.
    4. Pierre-Philippe Combes & Thierry Mayer & Jacques-François Thisse, 2008. "Economic Geography: The Integration of Regions and Nations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00311000, HAL.
    5. 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.
    6. 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).
    7. 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.
    8. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
    9. Takashi Akamatsu & Tomoya Mori & Yuki Takayama, 2015. "Agglomerations in a multi-region economy: Poly-centric versus mono-centric patterns," KIER Working Papers 929, Kyoto University, Institute of Economic Research.
    10. Kiyohiro Ikeda & Mikihisa Onda & Yuki Takayama, 2019. "Bifurcation Theory of a Racetrack Economy in a Spatial Economy Model," Networks and Spatial Economics, Springer, vol. 19(1), pages 57-82, March.
    11. Minoru Tabata & Nobuoki Eshima, 2016. "Convergence of Global Solutions to the Cauchy Problem for the Replicator Equation in Spatial Economics," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-8, August.
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    Cited by:

    1. Kensuke Ohtake, 2022. "Agglomeration and welfare of the Krugman model in a continuous space," Papers 2208.01972, arXiv.org, revised Feb 2023.
    2. Ohtake, Kensuke, 2023. "Agglomeration and welfare of the Krugman model in a continuous space," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 137-142.

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