Ikeda, Kiyohiro and Akamatsu, Takashi and Kono, Tatsuhito (2009): Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities.
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The orientation and progress of spatial agglomeration for Krugman's core--periphery model are investigated in this paper. Possible agglomeration patterns for a system of cities spread uniformly on a circle are set forth theoretically. For example, a possible and most likely course predicted for eight cities is a gradual and successive one---concentration into four cities and then into two cities en route to a single city. The existence of this course is ensured by numerical simulation for the model. Such gradual and successive agglomeration, which is called spatial-period doubling, presents a sharp contrast with the agglomeration of two cities, for which spontaneous concentration to a single city is observed in models of various kinds. It exercises caution about the adequacy of the two cities as a platform of the spatial agglomerations and demonstrates the need of the study on a system of cities.
|Item Type:||MPRA Paper|
|Original Title:||Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities|
|Keywords:||Agglomeration of population; Bifurcation; Core-periphery model; Group theory; Spatial period doubling|
|Subjects:||O - Economic Development, Technological Change, and Growth > O1 - Economic Development > O18 - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
F - International Economics > F1 - Trade > F12 - Models of Trade with Imperfect Competition and Scale Economies
R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R12 - Size and Spatial Distributions of Regional Economic Activity
|Depositing User:||Kiyohiro Ikeda|
|Date Deposited:||05. Oct 2010 00:11|
|Last Modified:||12. Feb 2013 17:48|
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