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

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  • 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.

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  • 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
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    References listed on IDEAS

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    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. 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, July-Dece.
    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.
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    6. 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.
    7. Monfort, Philippe & Nicolini, Rosella, 2000. "Regional Convergence and International Integration," Journal of Urban Economics, Elsevier, vol. 48(2), pages 286-306, September.
    8. 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.
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    Cited by:

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    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).

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