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Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions

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  • Ikeda, Kiyohiro
  • Onda, Mikihisa
  • Takayama, Yuki

Abstract

Mechanisms of an economic agglomeration of multiple places in a square lattice economy are elucidated by a comparative study with a racetrack economy. As a common mechanism to engender fewer larger agglomerations in both economies, doubling of their spatial period is advanced. The replicator dynamics in these economies accommodates characteristic agglomeration patterns that are solutions of the governing equation for any values of transport cost. A break point is used to index the onset of a bifurcation breaking uniformity as the transport cost decreases. Analytical formulas for this point that can synthetically encompass both economies are derived for an economic geography model.

Suggested Citation

  • Ikeda, Kiyohiro & Onda, Mikihisa & Takayama, Yuki, 2018. "Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 129-152.
    • Handle: RePEc:eee:dyncon:v:92:y:2018:i:c:p:129-152
    DOI: 10.1016/j.jedc.2018.05.002
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    Cited by:

    1. 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.
    2. Kogure, Yosuke & Ikeda, Kiyohiro, 2021. "Group-theoretic analysis of a scalar field on a square lattice," MPRA Paper 107740, University Library of Munich, Germany.
    3. Hiroki Aizawa & Kiyohiro Ikeda & Yosuke Kogure, 2023. "Satellite City Formation for a Spatial Economic Model," Networks and Spatial Economics, Springer, vol. 23(3), pages 529-558, September.
    4. Aizawa, Hiroki & Saka, Takuhiro, 2024. "Disutility caused by remote work in urban system," MPRA Paper 122913, University Library of Munich, Germany.
    5. Minoru Osawa & Takashi Akamatsu & Yosuke Kogure, 2020. "Stochastic stability of agglomeration patterns in an urban retail model," Papers 2011.06778, arXiv.org.
    6. Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
    7. Ikeda, Kiyohiro & Aizawa, Hiroki & Gaspar, Jose M., 2020. "How and where satellite cities form around a large city: Bifurcation mechanism of a long narrow economy," MPRA Paper 104748, University Library of Munich, Germany.

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