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Bifurcations in Regional Migration Dynamics
Marcus Berliant Washington University, St. Louis - Department of Economics Fan-chin Kung City University of Hong Kong - Department of Economics & Finance; East Carolina University 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 Classifications: C61, R23, F12 Working Paper SeriesDate posted: April 30, 2007 ; Last revised: June 17, 2009Suggested CitationContact Information
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