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

Kiyohiro Ikeda, Mikihisa Onda, Yuki Takayama

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)129-152
Number of pages24
JournalJournal of Economic Dynamics and Control
Volume92
DOIs
Publication statusPublished - 2018 Jul

Keywords

  • Bifurcation
  • Economic geography model
  • Group theory
  • Replicator dynamics
  • Spatial period doubling

ASJC Scopus subject areas

  • Economics and Econometrics
  • Control and Optimization
  • Applied Mathematics

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