Self-organization of lösch's hexagons in economic agglomeration for core-periphery models

Kiyohiro Ikeda, Kazuo Murota, Takashi Akamatsu

Research output: Contribution to journalReview articlepeer-review

9 Citations (Scopus)


Hexagonal population distributions of several sizes are shown to be self-organized from a uniformly inhabited state, which is modeled by a system of places (cities) on a hexagonal lattice. Microeconomic interactions among the places are expressed by a core-periphery model in new economic geography. Lösch's ten smallest hexagonal distributions in central place theory are guaranteed to be existent by equivariant bifurcation analysis on D6 (n × n), and are obtained by computational analysis. The missing link between central place theory and new economic geography has thus been discovered in light of the bifurcation analysis.

Original languageEnglish
Article number1230026
JournalInternational Journal of Bifurcation and Chaos
Issue number8
Publication statusPublished - 2012 Aug


  • Central place theory
  • core-periphery model
  • group-theoretic bifurcation theory
  • hexagons
  • new economic geography
  • self-organization

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics


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