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Dynamic agglomeration patterns in a 2-country NEG model with 4 regions

Pasquale Commendatore, Ingrid Kubin (), Pascal Mossay and Iryna Sushko ()
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Pascal Mossay: Newcastle University
Iryna Sushko: National Academy of Science of Ukraine

No 10, Gecomplexity Discussion Paper Series from Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation"

Abstract: We introduce a 2-country New Economic Geography model with 4 regions. It is defined by a 2D piecewise smooth map that depends on 8 parameters. Using reductions of this map to 1D maps defined on invariant straight lines we obtain stability conditions of the Core-Periphery fixed points, and show how such reductions can be used to describe basins of attraction of coexisting attractors. Typical bifurcation sequences obtained when varying some parameters are discussed. We find patterns that are much richer than those observed in standard NEG models: there are more types of fixed points including fixed points attracting in Milnor’s sense; their basins of attraction are quite complicated; and coexistence is pervasive.

Keywords: New economic geography; Multiregional models; Two-dimensional piecewises smooth map; Bifurcation scenarios; Milnor attractor (search for similar items in EconPapers)
JEL-codes: C62 F12 F2 R12 (search for similar items in EconPapers)
Pages: 35 pages
Date: 2015-02, Revised 2015-02
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 (1)

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http://www.gecomplexity-cost.eu/repec/cst/wpaper/geco_dp_10.pdf First version, 2015 (application/pdf)

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