Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models

B-Tier
Journal: Journal of Economic Dynamics and Control
Year: 2012
Volume: 36
Issue: 11
Pages: 1729-1759

Authors (3)

Akamatsu, Takashi (not in RePEc) Takayama, Yuki Ikeda, Kiyohiro (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

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 a 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.

Technical Details

RePEc Handle
repec:eee:dyncon:v:36:y:2012:i:11:p:1729-1759
Journal Field
Macro
Author Count
3
Added to Database
2026-01-29