Spatial period-doubling agglomeration of a core–periphery model with a system of cities

Kiyohiro Ikeda, Takashi Akamatsu and Tatsuhito Kono

Journal of Economic Dynamics and Control, 2012, vol. 36, issue 5, 754-778

Abstract: The progress of spatial agglomeration of Krugman's core–periphery model is investigated by comparative static analysis of stable equilibria with respect to transport costs. We set forth theoretically possible agglomeration (bifurcation) patterns for a system of cities spread uniformly on a circle. A possible and most likely course predicted is a gradual and successive one, which is called spatial period doubling. For example, eight cities concentrate into four cities and then into two cities en route to the formation of a single city. The existence of this course is ensured by numerical simulation for the model. Such a gradual and successive agglomeration presents a sharp contrast to the agglomeration of two cities, for which spontaneous concentration to a single city is observed in core–periphery models of various kinds. Other bifurcations that do not take place in two cities, such as period tripling, are also observed. The need for study of a system of cities has thus been demonstrated.

Keywords: Agglomeration of population; Bifurcation; Core–periphery model; Group theory; Spatial period doubling (search for similar items in EconPapers)
JEL-codes: C62 F12 R12 R13 (search for similar items in EconPapers)
Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (57)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S016518891200019X
Full text for ScienceDirect subscribers only

Related works:
Working Paper: Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities (2009)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:dyncon:v:36:y:2012:i:5:p:754-778

DOI: 10.1016/j.jedc.2011.08.014

Access Statistics for this article

Journal of Economic Dynamics and Control is currently edited by J. Bullard, C. Chiarella, H. Dawid, C. H. Hommes, P. Klein and C. Otrok

More articles in Journal of Economic Dynamics and Control from Elsevier
Bibliographic data for series maintained by Catherine Liu ().