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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.

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File URL: http://128.118.178.162/eps/urb/papers/0409/0409008.pdf
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Bibliographic Info

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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Web page: http://128.118.178.162

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Keywords: Bifurcation; Genericity analysis; Migration dynamics; Two- stage equilibrium;

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References

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  1. Puga, Diego, 1999. "The rise and fall of regional inequalities," European Economic Review, Elsevier, vol. 43(2), pages 303-334, February.
  2. 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.
  3. Richard Arnott & Alex Anas & Kenneth Small, 1997. "Urban Spatial Structure," Boston College Working Papers in Economics 388., Boston College Department of Economics.
  4. Krugman, Paul, 1980. "Scale Economies, Product Differentiation, and the Pattern of Trade," American Economic Review, American Economic Association, vol. 70(5), pages 950-59, December.
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  6. Berliant, Marcus & Zenou, Yves, 2012. "Labor Differentiation and Agglomeration in General Equilibrium," CEPR Discussion Papers 8840, C.E.P.R. Discussion Papers.
  7. Fujita, Masahisa & Thisse, Jacques-Francois, 1996. "Economics of Agglomeration," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 339-378, December.
  8. Oyama, Daisuke, 2006. "History versus Expectations in Economic Geography Reconsidered," MPRA Paper 9287, University Library of Munich, Germany.
  9. 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.
  10. Zeng, Dao-Zhi, 2002. "Equilibrium stability for a migration model," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 123-138, January.
  11. T Tabuchi, 1986. "Existence and stability of city-size distribution in the gravity and logit models," Environment and Planning A, Pion Ltd, London, vol. 18(10), pages 1375-1389, October.
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  14. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
  15. 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.
  16. 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.
  17. Rikard Forslid & Gianmarco I.P. Ottaviano, 2003. "An analytically solvable core-periphery model," Journal of Economic Geography, Oxford University Press, vol. 3(3), pages 229-240, July.
  18. Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, December.
  19. Abdel-Rahman, H. M., 1988. "Product differentiation, monopolistic competition and city size," Regional Science and Urban Economics, Elsevier, vol. 18(1), pages 69-86, February.
  20. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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Citations

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Cited by:
  1. Christian Ghiglino & Antonella Nocco, 2012. "When Veblen meets Krugman," Economics Discussion Papers 708, University of Essex, Department of Economics.
  2. 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.
  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. Berliant, Marcus & Zenou, Yves, 2012. "Labor differentiation and agglomeration in general equilibrium," MPRA Paper 36207, University Library of Munich, Germany.
  5. Oyama, Daisuke, 2006. "Agglomeration under Forward-Looking Expectations: Potentials and Global Stability," MPRA Paper 15239, University Library of Munich, Germany.
  6. 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.
  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.

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