Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models

Takashi Akamatsu, Yuki Takayama () and Kiyohiro Ikeda

MPRA Paper from University Library of Munich, Germany

Abstract: We provide an analytical approach that facilitates understanding the bifurcation mechanism of a wide class of economic models involving spatial agglomeration of economic activities. The proposed method overcomes the limitations of the Turing (1952) approach that has been used to analyze the emergence of agglomeration in the multi-regional core-periphery (CP) model of Krugman (1993, 1996). In other words, the proposed method allows us to examine whether agglomeration of mobile factors emerges from a uniform distribution and to analytically trace the evolution of spatial agglomeration patterns (i.e., bifurcations from various polycentric patterns as well as a uniform pattern) that these models exhibit when the values of some structural parameters change steadily. Applying the proposed method to the multi-regional CP model, we uncover a number of previously unknown properties of the CP model, and notably, the occurrence of “spatial period doubling bifurcation” in the CP model is proved.

Keywords: economic geography; agglomeration; stability; bifurcation; gravity laws (search for similar items in EconPapers)
JEL-codes: C62 C65 F12 F15 F22 R12 R13 (search for similar items in EconPapers)
Date: 2009-08-18, Revised 2009-12-25
New Economics Papers: this item is included in nep-geo and nep-ure
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Journal Article: Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models (2012)
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