Bifurcation theory of a square lattice economy: Racetrack economy analogy in an economic geography model

Kiyohrio Ikeda, Mikihisa Onda and Yuki Takayama ()

MPRA Paper from University Library of Munich, Germany

Abstract: Bifurcation theory for an economic agglomeration in a square lattice economy is presented in comparison with that in a racetrack economy. The existence of a series of equilibria with characteristic agglomeration patterns is elucidated. A spatial period doubling bifurcation cascade between these equilibria is advanced as a common mechanism to engender fewer and larger agglomerations in both economies. Analytical formulas for a break point, at which the uniformity is broken under reduced transport costs, are proposed for an economic geography model by synthetically encompassing both economies.

Keywords: Bifurcation; Economic geography model; Group theory; Replicator dynamics; Spatial period doubling (search for similar items in EconPapers)
JEL-codes: C19 (search for similar items in EconPapers)
Date: 2017-02-17
New Economics Papers: this item is included in nep-geo and nep-ure
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:78120

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