Bifurcations in Regional Migration Dynamics

14 Pages Posted: 30 Apr 2007 Last revised: 17 Jun 2009

See all articles by Marcus Berliant

Marcus Berliant

Washington University in St. Louis - Department of Economics

Fan-chin Kung

East Carolina University

Date Written: February 1, 2007

Abstract

Baldwin et al. (2003) show that the famous tomahawk bifurcation, which is used by Fujita et al. (1999) to explain the formation of the core-periphery pattern, disappears when two regions have uneven agricultural populations. Thus, this type of bifurcations result from intrinsic model symmetry. We provide a general analysis by examining, along arbitrary smooth parameter paths in a high dimensional parameter space and, this class of bifurcations that have crossing equilibrium loci. We found that, in a parameter space satisfying a mild rank condition, generically in all parameter paths this class of bifurcations do not appear.

Keywords: Bifurcation, genericity analysis, migration dynamics

JEL Classification: C61, R23, F12

Suggested Citation

Berliant, Marcus and Kung, Fan-chin, Bifurcations in Regional Migration Dynamics (February 1, 2007). Available at SSRN: https://ssrn.com/abstract=983292 or http://dx.doi.org/10.2139/ssrn.983292

Marcus Berliant

Washington University in St. Louis - Department of Economics ( email )

One Brookings Drive
St. Louis, MO 63130
United States

Fan-chin Kung (Contact Author)

East Carolina University ( email )

Brewster A438
Greenville, NC 27858
United States

HOME PAGE: http://myweb.ecu.edu/kungf/

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