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

Kiyohiro Ikeda, Kazuo Murota, Takashi Akamatsu, Tatsuhito Kono and Yuki Takayama ()

Journal of Economic Behavior & Organization, 2014, vol. 99, issue C, 32-52

Abstract: 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.

Keywords: Bifurcation; Central place theory; Core–periphery models; Group-theoretic bifurcation theory; Hexagons; New economic geography; Self-organization (search for similar items in EconPapers)
JEL-codes: C65 F12 R12 R13 (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (35)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jeborg:v:99:y:2014:i:c:p:32-52

DOI: 10.1016/j.jebo.2013.12.008

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