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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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Related research

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

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References

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  1. 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.
  2. MURATA, Yasudada & THISSE, Jacques-François, 2005. "A simple model of economic geography à la Helpman-Tabuchi," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2005017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Ottaviano, Gianmarco Ireo Paolo & Thisse, Jacques-François, 1998. "Agglomeration and Trade Revisited," CEPR Discussion Papers, C.E.P.R. Discussion Papers 1903, C.E.P.R. Discussion Papers.
  4. Pierre Picard & Takatoshi Tabuchi, 2010. "Self-organized agglomerations and transport costs," Economic Theory, Springer, Springer, vol. 42(3), pages 565-589, March.
  5. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, Elsevier, vol. 37(2-3), pages 293-298, April.
  6. Pascal Mossay, 2003. "Increasing Returns And Heterogeneity In A Spatial Economy," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 2003-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. 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.
  8. Tabuchi, Takatoshi & Thisse, Jacques-François & Zeng, Dao-Zhi, 2002. "On the Number and Size of Cities," CEPR Discussion Papers, C.E.P.R. Discussion Papers 3386, C.E.P.R. Discussion Papers.
  9. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, Elsevier, vol. 39(6), pages 696-713, November.
  10. Rikard Forslid & Gianmarco I.P. Ottaviano, 2003. "An analytically solvable core-periphery model," Journal of Economic Geography, Oxford University Press, Oxford University Press, vol. 3(3), pages 229-240, July.
  11. Tabuchi, Takatoshi & Thisse, Jacques-François, 2001. "Taste Heterogeneity, Labour Mobility and Economic Geography," CEPR Discussion Papers, C.E.P.R. Discussion Papers 3114, C.E.P.R. Discussion Papers.
  12. Behrens, Kristian & Thisse, Jacques-Francois, 2007. "Regional economics: A new economic geography perspective," Regional Science and Urban Economics, Elsevier, Elsevier, vol. 37(4), pages 457-465, July.
  13. 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.
  14. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
  15. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, Elsevier, vol. 33(4), pages 419-444, July.
  16. Papageorgiou, Yorgo Y & Smith, Terrence R, 1983. "Agglomeration as Local Instability of Spatially Uniform Steady-States," Econometrica, Econometric Society, Econometric Society, vol. 51(4), pages 1109-19, July.
  17. 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.
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Citations

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Cited by:
  1. Sidorov, A., 2013. "Stability of Totally Agglomerated Equilibrium in a Multiregional Core-Periphery Model," Journal of the New Economic Association, New Economic Association, New Economic Association, vol. 17(1), pages 44-62.
  2. 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.
  3. 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, Elsevier, vol. 36(5), pages 754-778.

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