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A Simplified Approach to Analyzing Multi-regional Core-Periphery Models

  • Akamatsu, Takashi
  • Takayama, Yuki

This paper shows that the evolutionary process of spatial agglomeration in multi-regional core-periphery models can be explained analytically by a much simpler method than the continuous space approach of Krugman (1996). The proposed method overcomes the limitations of Turing's approach which has been applied to continuous space models. In particular, it allows us not only to examine whether or not agglomeration of mobile factors emerges from a uniform distribution, but also to trace the evolution of spatial agglomeration patterns (i.e., bifurcations from various polycentric patterns as well as from a uniform pattern) with decreases in transportation cost.

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File URL: https://mpra.ub.uni-muenchen.de/21739/1/MPRA_paper_21739.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 21739.

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Date of creation: 18 Aug 2009
Date of revision: 29 Oct 2009
Handle: RePEc:pra:mprapa:21739
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  1. Ottaviano, Gianmarco & Thisse, Jacques-François, 1998. "Agglomeration and Trade Revisited," CEPR Discussion Papers 1903, C.E.P.R. Discussion Papers.
  2. Pierre Picard & Takatoshi Tabuchi, 2007. "Self-organized Agglomerations and Transport Costs," The School of Economics Discussion Paper Series 0712, Economics, The University of Manchester.
  3. Pascal Mossay, 2003. "Increasing Returns And Heterogeneity In A Spatial Economy," Working Papers. Serie AD 2003-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Murata, Yasusada & Thisse, Jacques-François, 2005. "A Simple Model of Economic Geography à la Helpman-Tabuchi," CEPR Discussion Papers 4936, C.E.P.R. Discussion Papers.
  5. Tabuchi, Takatoshi & Thisse, Jacques-François & Zeng, Dao-Zhi, 2002. "On the Number and Size of Cities," CEPR Discussion Papers 3386, C.E.P.R. Discussion Papers.
  6. Oyama, Daisuke, 2006. "Agglomeration under Forward-Looking Expectations: Potentials and Global Stability," MPRA Paper 15239, University Library of Munich, Germany.
  7. Tabuchi, Takatoshi & Thisse, Jacques-François, 2001. "Taste Heterogeneity, Labour Mobility and Economic Geography," CEPR Discussion Papers 3114, C.E.P.R. Discussion Papers.
  8. Olga Alonso-Villar, 2006. "A model of economic geography with demand pull and congestion costs," Working Papers 56, ECINEQ, Society for the Study of Economic Inequality.
  9. Tabuchi, Takatoshi, 1998. "Urban Agglomeration and Dispersion: A Synthesis of Alonso and Krugman," Journal of Urban Economics, Elsevier, vol. 44(3), pages 333-351, November.
  10. Papageorgiou, Yorgo Y & Smith, Terrence R, 1983. "Agglomeration as Local Instability of Spatially Uniform Steady-States," Econometrica, Econometric Society, vol. 51(4), pages 1109-19, July.
  11. Behrens, Kristian & Thisse, Jacques-Francois, 2007. "Regional economics: A new economic geography perspective," Regional Science and Urban Economics, Elsevier, vol. 37(4), pages 457-465, July.
  12. Murata, Yasusada, 2003. "Product diversity, taste heterogeneity, and geographic distribution of economic activities:: market vs. non-market interactions," Journal of Urban Economics, Elsevier, vol. 53(1), pages 126-144, January.
  13. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2012. "Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1729-1759.
  14. 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.
  15. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-99, June.
  16. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
  17. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
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