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Bifurcations in regional migration dynamics

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Author Info
Fan-chin Kung (Academia Sinica)
Abstract

We study regional migration dynamics in a general framework and provide a foundation for the commonly used two-stage quilibrium. We also examine the robustness of bifurcations when parameters change along arbitrary smooth (C1) paths. We show that bifurcations with crossing equilibrium loci are rare, which include, for example, the popular pitchfork bifurcation.

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Paper provided by EconWPA in its series Urban/Regional with number 0409008.

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Date of creation: 12 Sep 2004
Date of revision: 12 Sep 2004
Handle: RePEc:wpa:wuwpur:0409008

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Related research
Keywords: Bifurcation Genericity analysis Migration dynamics Two- stage equilibrium

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R - Urban, Rural, and Regional Economics

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  3. Fujita, Masahisa & Mori, Tomoya, 1997. "Structural stability and evolution of urban systems," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 399-442, August. [Downloadable!] (restricted)
  4. Alex Anas & Richard Arnott & Kenneth A. Small, 1998. "Urban Spatial Structure," Journal of Economic Literature, American Economic Association, vol. 36(3), pages 1426-1464, September. [Downloadable!] (restricted)
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  5. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May. [Downloadable!] (restricted)
  6. Marcus Berliant & Fan- chin Kung, 2004. "The Indeterminacy of Equilibrium City Formation under Monopolistic Competition and Increasing Returns," Urban/Regional 0407011, EconWPA, revised 29 Apr 2005. [Downloadable!]
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  7. Fujita, Masahisa & Krugman, Paul, 1995. "When is the economy monocentric?: von Thunen and Chamberlin unified," Regional Science and Urban Economics, Elsevier, vol. 25(4), pages 505-528, August. [Downloadable!] (restricted)
  8. Zeng, Dao-Zhi, 2002. "Equilibrium stability for a migration model," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 123-138, January. [Downloadable!] (restricted)
  9. Fujita, Masahisa & Thisse, Jacques-François, 1996. "Economics of Agglomeration," CEPR Discussion Papers 1344, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  10. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June. [Downloadable!] (restricted)
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