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Group-theoretic Study of Economic Agglomerations on a Square Lattice

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  • Kogure, Yosuke
  • Ikeda, Kiyohiro

Abstract

The present paper aims to elucidate the mechanism of economic agglomerations in two-dimensional economic spaces equipped with square road networks, which prosper worldwide (e.g., Chicago and Kyoto). A series of theoretical approaches provided in the present thesis makes it possible to investigate the spatial patterns of economic agglomerations on such spatial platforms systematically. The present paper focuses on square distributions on the square lattice economy, which has not somewhat been given much attention. We apply group-theoretic predictions to the investigation of bifurcation behavior of economic geography models. The present paper provides a systematic analysis procedure that is applicable to a wide range of economic geography models.

Suggested Citation

  • Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:112842
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    More about this item

    Keywords

    bifurcation; economic agglomeration; economic geography; group-theoretic bifurcation theory; invariant pattern; local-global system; replicator dynamics; square lattice.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics

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    This paper has been announced in the following NEP Reports:

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