IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v79y2015icp2-17.html
   My bibliography  Save this article

Dynamic agglomeration patterns in a two-country new economic geography model with four regions

Author

Listed:
  • Commendatore, Pasquale
  • Kubin, Ingrid
  • Mossay, Pascal
  • Sushko, Iryna

Abstract

We introduce a two-country New Economic Geography model with four regions. It is defined by a 2D piecewise smooth map that depends on 8 parameters. Using reductions of this map to 1D maps defined on invariant straight lines, we obtain stability conditions of the Core–Periphery fixed points, and show how such reductions can be used to describe basins of attraction of coexisting attractors. Typical bifurcation sequences obtained when varying some parameters are discussed. We find patterns that are much richer than those observed in standard NEG models: there are more types of fixed points including fixed points attracting in Milnor’s sense; their basins of attraction are quite complicated; and coexistence is pervasive.

Suggested Citation

  • Commendatore, Pasquale & Kubin, Ingrid & Mossay, Pascal & Sushko, Iryna, 2015. "Dynamic agglomeration patterns in a two-country new economic geography model with four regions," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 2-17.
    • Handle: RePEc:eee:chsofr:v:79:y:2015:i:c:p:2-17
    DOI: 10.1016/j.chaos.2015.03.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077915000909
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2015.03.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kristian Behrens, 2011. "International Integration And Regional Inequalities: How Important Is National Infrastructure?," Manchester School, University of Manchester, vol. 79(5), pages 952-971, September.
    2. Krugman, Paul & Elizondo, Raul Livas, 1996. "Trade policy and the Third World metropolis," Journal of Development Economics, Elsevier, vol. 49(1), pages 137-150, April.
    3. Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), 2015. "Complexity and Geographical Economics," Dynamic Modeling and Econometrics in Economics and Finance, Springer, edition 127, number 978-3-319-12805-4, May.
    4. Commendatore, Pasquale & Kubin, Ingrid & Petraglia, Carmelo & Sushko, Iryna, 2014. "Regional integration, international liberalisation and the dynamics of industrial agglomeration," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 265-287.
    5. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    6. Behrens, Kristian & Gaigne, Carl & Ottaviano, Gianmarco I.P. & Thisse, Jacques-Francois, 2007. "Countries, regions and trade: On the welfare impacts of economic integration," European Economic Review, Elsevier, vol. 51(5), pages 1277-1301, July.
    7. Pasquale Commendatore & Ingrid Kubin & Carmelo Petraglia & Iryna Sushko, 2012. "Economic integration and agglomeration in a customs union in the presence of an outside region," Department of Economics Working Papers wuwp146, Vienna University of Economics and Business, Department of Economics.
    8. Gian Italo Bischi & Carl Chiarella & Iryna Sushko (ed.), 2013. "Global Analysis of Dynamic Models in Economics and Finance," Springer Books, Springer, edition 127, number 978-3-642-29503-4, December.
    9. Elisenda Paluzie, 2001. "articles: Trade policy and regional inequalities," Papers in Regional Science, Springer;Regional Science Association International, vol. 80(1), pages 67-85.
    10. Monfort, Philippe & Nicolini, Rosella, 2000. "Regional Convergence and International Integration," Journal of Urban Economics, Elsevier, vol. 48(2), pages 286-306, September.
    11. Pasquale Commendatore & Valerio Filoso & Theresa Grafeneder-Weissteiner & Ingrid Kubin, 2015. "Towards a Multiregional NEG Framework: Comparing Alternative Modelling Strategies," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 13-50, Springer.
    12. 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. Fabio Lamantia & Mario Pezzino, 2018. "The dynamic effects of fiscal reforms and tax competition on tax compliance and migration," Review of International Economics, Wiley Blackwell, vol. 26(3), pages 672-690, August.
    2. Askar, S.S. & Al-khedhairi, A., 2020. "On complex dynamic investigations of a piecewise smooth nonlinear duopoly game," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Askar, S.S. & Al-khedhairi, A., 2020. "The dynamics of a business game: A 2D-piecewise smooth nonlinear map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

    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. Pasquale Commendatore & Ingrid Kubin & Pascal Mossay & Iryna Sushko, 2015. "Dynamic agglomeration patterns in a 2-country NEG model with 4 regions," Gecomplexity Discussion Paper Series 10, Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", revised Feb 2015.
    2. 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.
    3. Commendatore, Pasquale & Kubin, Ingrid & Petraglia, Carmelo & Sushko, Iryna, 2014. "Regional integration, international liberalisation and the dynamics of industrial agglomeration," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 265-287.
    4. Jian Wang & Xiao-Ping Zheng, 2013. "Industrial Agglomeration: Asymmetry Of Regions And Trade Costs," Review of Urban & Regional Development Studies, Wiley Blackwell, vol. 25(2), pages 61-78, July.
    5. Xi Yang & Nobuaki Hamaguchi, 2013. "Trade infrastructure and firm location under Cournot competition," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 50(1), pages 153-167, February.
    6. Pasquale Commendatore & Ingrid Kubin & Pascal Mossay & Iryna Sushko, 2017. "The role of centrality and market size in a four-region asymmetric new economic geography model," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 1095-1131, November.
    7. Celbis, Mehmet Guney & Wong, Pui-hang & Guznajeva, Tatjana, 2018. "The Eurasian customs union and the economic geography of Belarus: A panel convergence approach," MERIT Working Papers 2018-029, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    8. Miren Lafourcade & Elisenda Paluzie, 2008. "European integration, FDI and the geography of French trade," Working Papers halshs-00586834, HAL.
    9. Diego Ocampo & Mayra Janet Ortega & Elisenda Paluzie, 2024. "Tariffs and industrial location in Ecuador," UB School of Economics Working Papers 2024/471, University of Barcelona School of Economics.
    10. Hirte, Georg & Lessmann, Christian & Seidel, André, 2020. "International trade, geographic heterogeneity and interregional inequality," European Economic Review, Elsevier, vol. 127(C).
    11. Mary P. Arends-Kuenning & Kathy Baylis & Rafael Garduño-Rivera, 2024. "The effect of NAFTA on Mexico's wage gap," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 73(3), pages 1241-1267, October.
    12. Cem Karayalcin & Hakan Yilmazkuday, 2015. "Trade and Cities," The World Bank Economic Review, World Bank, vol. 29(3), pages 523-549.
    13. Adolfo Cristobal Campoamor & Osiris Jorge Parcero, 2024. "Behind the Eastern-Western European convergence path: the role of geography and trade liberalization," Papers 2401.05107, arXiv.org.
    14. Hisamitsu Saito & Munisamy Gopinath & JunJie Wu, 2011. "Heterogeneous firms, trade liberalization and agglomeration," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 44(2), pages 541-560, May.
    15. Julio Martinez-Galarraga & Elisenda Paluzie & Jordi Pons & Javier Silvestre & Daniel A. Tirado, 2021. "New economic geography and economic history: a survey of recent contributions through the lens of the Spanish industrialization process," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 15(3), pages 719-751, September.
    16. Colin Davis & Ken‐ichi Hashimoto, 2021. "Import competition and industry location in a small‐country model of productivity growth," Review of International Economics, Wiley Blackwell, vol. 29(4), pages 1046-1064, September.
    17. Ezcurra, Roberto & Rodríguez-Pose, Andrés, 2013. "Does Economic Globalization affect Regional Inequality? A Cross-country Analysis," World Development, Elsevier, vol. 52(C), pages 92-103.
    18. Adolfo Cristobal-Campoamor & Osiris Parcero, 2013. "Behind the Eastern–Western European convergence path: the role of geography and trade liberalization," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 51(3), pages 871-891, December.
    19. Ardeshiri, Mansour & Moghaddasi, Reza & Yazdani, Saeed & Mohamadinejad, Amir, 2019. "Trade Openness and Spatial Distribution of Manufacturing Industries: Iranian Provincial Evidence," Asian Journal of Applied Economics/ Applied Economics Journal, Kasetsart University, Faculty of Economics, Center for Applied Economic Research, vol. 26(1), pages 21-44, June.
    20. Grace Carolina GUEVARA-ROSERO, 2017. "The Effect of Trade on Agglomeration within Regions," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 75-97, March.

    More about this item

    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:eee:chsofr:v:79:y:2015:i:c:p:2-17. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.