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Bifurcations in regional migration dynamics

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  • 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.

Suggested Citation

  • Fan-chin Kung, 2004. "Bifurcations in regional migration dynamics," Urban/Regional 0409008, University Library of Munich, Germany, revised 12 Sep 2004.
    • Handle: RePEc:wpa:wuwpur:0409008
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    Cited by:

    1. Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2012. "Spatial period-doubling agglomeration of a core–periphery model with a system of cities," Journal of Economic Dynamics and Control, Elsevier, vol. 36(5), pages 754-778.
    2. Marcus Berliant & Yves Zenou, 2014. "Labor Differentiation and Agglomeration in General Equilibrium," International Regional Science Review, , vol. 37(1), pages 36-65, January.
    3. Leung, Charles Ka Yui & Teo, Wing Leong, 2011. "Should the optimal portfolio be region-specific? A multi-region model with monetary policy and asset price co-movements," Regional Science and Urban Economics, Elsevier, vol. 41(3), pages 293-304, May.
    4. Kristian Behrens & Frédéric Robert‐Nicoud, 2009. "Krugman's Papers in Regional Science: The 100 dollar bill on the sidewalk is gone and the 2008 Nobel Prize well‐deserved," Papers in Regional Science, Wiley Blackwell, vol. 88(2), pages 467-489, June.
    5. Christian Ghiglino, 2011. "When Veblen meets Krugman," 2011 Meeting Papers 768, Society for Economic Dynamics.
    6. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    7. Alexander V. Sidorov, 2011. "International Trade and Agglomeration in Asymmetric World: Core-Periphery Approach," DEGIT Conference Papers c016_020, DEGIT, Dynamics, Economic Growth, and International Trade.
    8. Sidorov, A., 2013. "Stability of Totally Agglomerated Equilibrium in a Multiregional Core-Periphery Model," Journal of the New Economic Association, New Economic Association, vol. 17(1), pages 44-62.
    9. Christian Ghiglino & Antonella Nocco, 2017. "When Veblen meets Krugman: social network and city dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 431-470, February.
    10. Sidorov, Alexander, 2011. "The Impact of Exogenous Asymmetry on Trade and Agglomeration in Core-Periphery Model," MPRA Paper 29627, University Library of Munich, Germany.
    11. Kiyohiro Ikeda & Yuki Takayama & José M. Gaspar & Minoru Osawa, 2022. "Perturbed cusp catastrophe in a population game: Spatial economics with locational asymmetries," Journal of Regional Science, Wiley Blackwell, vol. 62(4), pages 961-980, September.
    12. José M. Gaspar & Sofia B. S. D. Castro & João Correia-da-Silva, 2018. "Agglomeration patterns in a multi-regional economy without income effects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 863-899, December.

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    More about this item

    Keywords

    Bifurcation; Genericity analysis; Migration dynamics; Two- stage equilibrium;
    All these keywords.

    JEL classification:

    • R - Urban, Rural, Regional, Real Estate, and Transportation Economics

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