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The multiregional core-periphery model: The role of the spatial topology

Author

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  • Barbero, Javier

    (Departamento de Análisis Económico (Teoría e Historia Económica). Universidad Autónoma de Madrid.)

  • Zofío, José Luis

    (Departamento de Análisis Económico (Teoría e Historia Económica). Universidad Autónoma de Madrid.)

Abstract

We use the multiregional core-periphery model of the new economic geography to analyze and compare the agglomeration and dispersion forces shaping the location of economic activity for a continuum of network topologies characterized by their degree of centrality, and comprised between two extremes represented by the homogenous (ring) and the heterogeneous (star) configurations. Resorting to graph theory, we systematically extend the analytical tools and graphical representations of the core-periphery model for alternative spatial configuration, and study the stability of the alternative equilibria in terms of the sustain and break points. We study new phenomena such as the absence of any stable distribution of economic activity for some range of transport costs, and the infeasibility of the dispersed equilibrium in the heterogeneous space, resulting in the introduction of the concept pseudo flat-earth as a long run-equilibrium corresponding to an uneven distribution of economic activity between regions.

Suggested Citation

  • Barbero, Javier & Zofío, José Luis, 2012. "The multiregional core-periphery model: The role of the spatial topology," Working Papers in Economic Theory 2012/12, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    • Handle: RePEc:uam:wpaper:201212
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    References listed on IDEAS

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    1. Sofia B. S. D. Castro & Joao Correia-da-Silva & Pascal Mossay, 2009. "The core-periphery model with three regions," FEP Working Papers 325, Universidade do Porto, Faculdade de Economia do Porto.
    2. Sofia B.S.D. Castro & João Correia-da-Silva & Pascal Mossay, 2012. "The core-periphery model with three regions and more," Papers in Regional Science, Wiley Blackwell, vol. 91(2), pages 401-418, June.
    3. Robert-Nicoud, Frédéric, 2004. "The Structure of Simple 'New Economic Geography' Models," CEPR Discussion Papers 4326, C.E.P.R. Discussion Papers.
    4. Fujita , Masahisa & Krugman, Paul, 2004. "The new economic geography: Past, present and the future," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 4, pages 177-206.
    5. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-François Thisse, 2021. "Agglomeration And Trade Revisited," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 3, pages 59-85, World Scientific Publishing Co. Pte. Ltd..
    6. Charlot, Sylvie & Gaigne, Carl & Robert-Nicoud, Frederic & Thisse, Jacques-Francois, 2006. "Agglomeration and welfare: The core-periphery model in the light of Bentham, Kaldor, and Rawls," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 325-347, January.
    7. Puga, Diego & Venables, Anthony J., 1997. "Preferential trading arrangements and industrial location," Journal of International Economics, Elsevier, vol. 43(3-4), pages 347-368, November.
    8. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    9. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
    10. Masahisa Fujita & Paul Krugman, 2004. "The new economic geography: Past, present and the future," Advances in Spatial Science, in: Raymond J. G. M. Florax & David A. Plane (ed.), Fifty Years of Regional Science, pages 139-164, Springer.
    11. Pierre M. Picard & Dao‐Zhi Zeng, 2010. "A Harmonization Of First And Second Natures," Journal of Regional Science, Wiley Blackwell, vol. 50(5), pages 973-994, December.
    12. Frédéric Robert-Nicoud, 2005. "The structure of simple 'New Economic Geography' models (or, On identical twins)," Journal of Economic Geography, Oxford University Press, vol. 5(2), pages 201-234, April.
    13. Takanori Ago & Ikumo Isono & Takatoshi Tabuchi, 2006. "Locational disadvantage of the hub," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 40(4), pages 819-848, December.
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    Cited by:

    1. Amitrajeet A. Batabyal & Hamid Beladi, 2017. "Patent Protection in a Model of Economic Growth in Multiple Regions," Networks and Spatial Economics, Springer, vol. 17(1), pages 255-268, March.
    2. Huali Xiang & Jun Yang & Xi Liu & Jay Lee, 2019. "Balancing Population Distribution and Sustainable Economic Development in Yangtze River Economic Belt of China," Sustainability, MDPI, vol. 11(12), pages 1-15, June.
    3. Alberto Gude & Inmaculada Álvarez & Luis Orea, 2018. "Heterogeneous spillovers among Spanish provinces: a generalized spatial stochastic frontier model," Journal of Productivity Analysis, Springer, vol. 50(3), pages 155-173, December.
    4. 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.
    5. Kiyohiro Ikeda & Mikihisa Onda & Yuki Takayama, 2019. "Bifurcation Theory of a Racetrack Economy in a Spatial Economy Model," Networks and Spatial Economics, Springer, vol. 19(1), pages 57-82, March.
    6. Nuria Gallego & José L. Zofío, 2018. "Trade Openness, Transport Networks and the Spatial Location of Economic Activity," Networks and Spatial Economics, Springer, vol. 18(1), pages 205-236, March.
    7. Álvarez, Inmaculada & Barbero, Javier, 2013. "Knowledge Spillovers in Neoclassical Growth Model: an extension with Public Sector," Working Papers in Economic Theory 2013/07, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    8. Minoru Osawa & Jos'e M. Gaspar, 2020. "Production externalities and dispersion process in a multi-region economy," Papers 2001.05095, arXiv.org, revised May 2021.
    9. Barbero, Javier & Behrens, Kristian & Zofío, José L., 2018. "Industry location and wages: The role of market size and accessibility in trading networks," Regional Science and Urban Economics, Elsevier, vol. 71(C), pages 1-24.
    10. José M. Gaspar & Sofia B. S. D. Castro & João Correia-da-Silva, 2018. "Agglomeration patterns in a multi-regional economy without income effects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 863-899, December.
    11. José M. Gaspar, 2018. "A prospective review on New Economic Geography," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(2), pages 237-272, September.

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    More about this item

    Keywords

    New economic geography; graph theory; degree of centrality; bifurcation; equilibria and stability analysis.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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