Akamatsu, Takashi and Takayama, Yuki and Ikeda, Kiyohiro (2009): Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models.

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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 multiregional coreperiphery (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 multiregional 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.
Item Type:  MPRA Paper 

Original Title:  Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models 
Language:  English 
Keywords:  economic geography; agglomeration; stability; bifurcation; gravity laws 
Subjects:  F  International Economics > F1  Trade > F15  Economic Integration F  International Economics > F2  International Factor Movements and International Business > F22  International Migration R  Urban, Rural, Regional, Real Estate, and Transportation Economics > R1  General Regional Economics > R13  General Equilibrium and Welfare Economic Analysis of Regional Economies C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65  Miscellaneous Mathematical Tools F  International Economics > F1  Trade > F12  Models of Trade with Imperfect Competition and Scale Economies ; Fragmentation R  Urban, Rural, Regional, Real Estate, and Transportation Economics > R1  General Regional Economics > R12  Size and Spatial Distributions of Regional Economic Activity C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62  Existence and Stability Conditions of Equilibrium 
Item ID:  21738 
Depositing User:  Yuki Takayama 
Date Deposited:  31. Mar 2010 05:45 
Last Modified:  14. May 2015 11:36 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/21738 