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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. BEHRENS, Kristian & THISSE, Jacques-François, . "Regional economics: a new economic geography perspective," CORE Discussion Papers RP 1946, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. 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.
  3. 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.
  4. Olga Alonso-Villar, 2008. "A model of economic geography with demand-pull and congestion costs," Papers in Regional Science, Wiley Blackwell, vol. 87(2), pages 261-276, 06.
  5. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-99, June.
  6. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-FranÁois Thisse, 2002. "Agglomeration and Trade Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 409-436, May.
  7. PICARD, Pierre M. & TABUCHI, Takatoshi, . "Self-organized agglomerations and transport costs," CORE Discussion Papers RP 2182, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. TABUCHI, Takatoshi & THISSE, Jacques-François, . "Taste heterogeneity, labor mobility and economic geography," CORE Discussion Papers RP 1570, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. MURATA, Yasudada & THISSE, Jacques-François, 2005. "A simple model of economic geography à la Helpman-Tabuchi," CORE Discussion Papers 2005017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. 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.
  11. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
  12. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
  13. 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.
  14. 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).
  15. 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.
  16. Oyama, Daisuke, 2006. "Agglomeration under Forward-Looking Expectations: Potentials and Global Stability," MPRA Paper 15239, University Library of Munich, Germany.
  17. 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.
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