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

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  • Akamatsu, Takashi
  • Takayama, Yuki

Abstract

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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Bibliographic Info

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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Keywords: agglomeration; core-periphery model; multi-regional; stability; bifurcation;

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References

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  1. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
  2. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-Francois Tissse, 1999. "Agglomeration and Trade Revisited," CIRJE F-Series CIRJE-F-65, CIRJE, Faculty of Economics, University of Tokyo.
  3. Pierre Picard & Takatoshi Tabuchi, 2007. "Self-organized Agglomerations and Transport Costs," The School of Economics Discussion Paper Series 0712, Economics, The University of Manchester.
  4. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2009. "Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models," MPRA Paper 21738, University Library of Munich, Germany, revised 25 Dec 2009.
  5. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 2002. "Taste heterogeneity, labor mobility and economic geography," Journal of Development Economics, Elsevier, vol. 69(1), pages 155-177, October.
  6. 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.
  7. 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.
  8. Yasusada, MURATA & Jacques-François, THISSE, 2004. "A simple model of economic geography à la Helpman-Tabuchi," Discussion Papers (ECON - Département des Sciences Economiques) 2005017, Université catholique de Louvain, Département des Sciences Economiques, revised 15 Feb 2005.
  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. 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. 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).
  12. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
  13. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
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Citations

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Cited by:
  1. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2009. "Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models," MPRA Paper 21738, University Library of Munich, Germany, revised 25 Dec 2009.
  2. 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.
  3. 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.

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