IDEAS home Printed from https://ideas.repec.org/p/uam/wpaper/201212.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.uam.es/departamentos/economicas/analecon/especifica/mimeo/wp201212.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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).
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. TABUCHI Takatoshi, 2012. "Does New Economic Geography Faithfully Describe Reality?," Discussion papers 12071, Research Institute of Economy, Trade and Industry (RIETI).
    3. Tabuchi, Takatoshi, 2014. "Historical trends of agglomeration to the capital region and new economic geography," Regional Science and Urban Economics, Elsevier, vol. 44(C), pages 50-59.
    4. Kristian Behrens & Frédéric Robert‐Nicoud, 2009. "Krugman's Papers in Regional Science: The 100 dollar bill on the sidewalk is gone and the 2008 Nobel Prize well‐deserved," Papers in Regional Science, Wiley Blackwell, vol. 88(2), pages 467-489, June.
    5. José M. Gaspar, 2020. "Paul Krugman: contributions to Geography and Trade," Letters in Spatial and Resource Sciences, Springer, vol. 13(1), pages 99-115, April.
    6. Olga Alonso-Villar, 2006. "A Reflection On The Effects Of Transport Costs Within The New Economic Geography," Working Papers 57, ECINEQ, Society for the Study of Economic Inequality.
    7. Frédéric Robert-Nicoud, 2006. "Agglomeration and Trade with Input–Output Linkages and Capital Mobility," Spatial Economic Analysis, Taylor & Francis Journals, vol. 1(1), pages 101-126.
    8. 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.
    9. Minoru Tabata & Nobuoki Eshima, 2023. "Approximation of a Continuous Core-periphery Model by Core-periphery Models with a Large Number of Small Regions," Networks and Spatial Economics, Springer, vol. 23(1), pages 223-283, March.
    10. Takatoshi Tabuchi, 2012. "Are NEG Models Capable of Simulating Agglomeration in the Real World?," CIRJE F-Series CIRJE-F-854, CIRJE, Faculty of Economics, University of Tokyo.
    11. Gaspar, José M. & Ikeda, Kiyohiro & Onda, Mikihasa, 2021. "Global bifurcation mechanism and local stability of identical and equidistant regions: Application to three regions and more," Regional Science and Urban Economics, Elsevier, vol. 86(C).
    12. Akamatsu, Takashi & Takayama, Yuki, 2009. "A Simplified Approach to Analyzing Multi-regional Core-Periphery Models," MPRA Paper 21739, University Library of Munich, Germany, revised 29 Oct 2009.
    13. Miren Lafourcade & Jacques-François Thisse, 2011. "New Economic Geography: The Role of Transport Costs," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 4, Edward Elgar Publishing.
    14. Boiscuvier, Éléonore, 2001. "Innovation, intégration et développement régional," L'Actualité Economique, Société Canadienne de Science Economique, vol. 77(2), pages 255-280, juin.
    15. Kim, Ho Yeon, 2012. "Shrinking population and the urban hierarchy," IDE Discussion Papers 360, Institute of Developing Economies, Japan External Trade Organization(JETRO).
    16. Kristian Behrens & Alain Pholo Bala, 2013. "Do rent-seeking and interregional transfers contribute to urban primacy in Sub-Saharan Africa?," Papers in Regional Science, Wiley Blackwell, vol. 92(1), pages 163-195, March.
    17. 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, June.
    18. Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
    19. Daniel Shefer, 2011. "The Center-periphery Dilemma and the Issue of Equity in Regional Development," ERSA conference papers ersa11p1192, European Regional Science Association.
    20. 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.

    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)

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:uam:wpaper:201212. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Andrés Maroto-Sánchez (email available below). General contact details of provider: https://edirc.repec.org/data/dauames.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.