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




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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 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 CPmodel, we uncover a number of previously unknown properties of the CP model, andnotably, the occurrence of -spatial period doubling bifurcation- in the CP model isproved.



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 IntegrationF - International Economics > F2 - International Factor Movements and International Business > F22 - International MigrationR - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R13 - General Equilibrium and Welfare Economic Analysis of Regional EconomiesC - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical ToolsF - International Economics > F1 - Trade > F12 - Models of Trade with Imperfect Competition and Scale Economies ; FragmentationR - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R12 - Size and Spatial Distributions of Regional Economic ActivityC - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium-





Author: Akamatsu, Takashi

Source: https://mpra.ub.uni-muenchen.de/21738/







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