Self-organization of hexagonal agglomeration patterns in new economic geography models

Kiyohiro Ikeda, Kazuo Murota, Takashi Akamatsu, Tatsuhito Kono, Yuki Takayama

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


Self-organization of agglomeration patterns for economic models in a two-dimensional economic space is studied from a multi-disciplinary viewpoint of new economic geography, central place theory, and bifurcation theory. Emergence of hexagonal distributions of various sizes in a homogeneous space is predicted theoretically for core-periphery models. The existence of hexagonal distributions as stable equilibria is demonstrated by a comparative static analysis with respect to transport costs for specific core-periphery models. These distributions are the ones envisaged by central place theory and also inferred to emerge by Krugman (1996) for a core-periphery model in two dimensions.

Original languageEnglish
Pages (from-to)32-52
Number of pages21
JournalJournal of Economic Behavior and Organization
Publication statusPublished - 2014 Mar


  • Bifurcation
  • Central place theory
  • Core-periphery models
  • Group-theoretic bifurcation theory
  • Hexagons
  • New economic geography
  • Self-organization


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