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Border Collision Bifurcations in a Footloose Capital Model with First Nature Firms

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  • Anna Agliari
  • Pasquale Commendatore
  • Ilaria Foroni
  • Ingrid Kubin

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  • Anna Agliari & Pasquale Commendatore & Ilaria Foroni & Ingrid Kubin, 2011. "Border Collision Bifurcations in a Footloose Capital Model with First Nature Firms," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 349-366, October.
    • Handle: RePEc:kap:compec:v:38:y:2011:i:3:p:349-366
    DOI: 10.1007/s10614-011-9293-8
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    1. Tramontana, Fabio & Gardini, Laura & Puu, Tönu, 2010. "Global bifurcations in a piecewise-smooth Cournot duopoly game," Chaos, Solitons & Fractals, Elsevier, vol. 43(1), pages 15-24.
    2. Anthony J. Venables, 2006. "Shifts in economic geography and their causes," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 15-39.
    3. Sushko, Iryna & Agliari, Anna & Gardini, Laura, 2006. "Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 756-770.
    4. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
    5. Richard Baldwin & Rikard Forslid & Philippe Martin & Gianmarco Ottaviano & Frederic Robert-Nicoud, 2005. "Economic Geography and Public Policy," Economics Books, Princeton University Press, edition 1, number 7524.
    6. Michael Roos, 2001. "How important is geography for agglomeration?," Discussion Papers in Economics 01_09, University of Dortmund, Department of Economics.
    7. Masahisa Fujita & Tomoya Mori, 2005. "Frontiers of the New Economic Geography," Papers in Regional Science, Wiley Blackwell, vol. 84(3), pages 377-405, August.
    8. 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.
    9. Kiminori Matsuyama & Takaaki Takahashi, 1998. "Self-Defeating Regional Concentration," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(2), pages 211-234.
    10. Duranton, Gilles, 2006. "Some foundations for Zipf's law: Product proliferation and local spillovers," Regional Science and Urban Economics, Elsevier, vol. 36(4), pages 542-563, July.
    11. Fujita, Masahisa & Mori, Tomoya, 1996. "The role of ports in the making of major cities: Self-agglomeration and hub-effect," Journal of Development Economics, Elsevier, vol. 49(1), pages 93-120, April.
    12. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411.
    13. Martin, Philippe & Rogers, Carol Ann, 1995. "Industrial location and public infrastructure," Journal of International Economics, Elsevier, vol. 39(3-4), pages 335-351, November.
    14. Gian Italo Bischi & Carl Chiarella & Laura Gardini (ed.), 2010. "Nonlinear Dynamics in Economics, Finance and Social Sciences," Springer Books, Springer, number 978-3-642-04023-8, September.
    15. Richard Baldwin & Rikard Forslid & Philippe Martin & Gianmarco Ottaviano & Frederic Robert-Nicoud, 2005. "Economic Geography and Public Policy," Economics Books, Princeton University Press, edition 1, number 7524.
    16. P Commendatore & M Currie & I Kubin, 2005. "Chaotic Footloose Capital," Economics Discussion Paper Series 0502, Economics, The University of Manchester.
    17. Colin R. Davis, 2009. "Interregional Knowledge Spillovers And Occupational Choice In A Model Of Free Trade And Endogenous Growth," Journal of Regional Science, Wiley Blackwell, vol. 49(5), pages 855-876, December.
    18. Brianzoni, Serena & Michetti, Elisabetta & Sushko, Iryna, 2010. "Border collision bifurcations of superstable cycles in a one-dimensional piecewise smooth map," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 52-61.
    19. Stein Østbye, 2010. "Regional Policy Analysis In A Simple General Equilibrium Model With Vertical Linkages," Journal of Regional Science, Wiley Blackwell, vol. 50(3), pages 756-775, August.
    20. 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. Noemi Schmitt & Jan Tuinstra & Frank Westerhoff, 2018. "Stability and welfare effects of profit taxes within an evolutionary market interaction model," Review of International Economics, Wiley Blackwell, vol. 26(3), pages 691-708, August.
    2. Anna Agliari & Pasquale Commendatore & Ilaria Foroni & Ingrid Kubin, 2014. "Expectations and industry location: a discrete time dynamical analysis," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 3-26, April.
    3. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2014. "Positive welfare effects of trade barriers in a dynamic partial equilibrium model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 246-264.
    4. 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.
    5. Ingrid Kubin & Laura Gardini, 2013. "Border collision bifurcations in boom and bust cycles," Journal of Evolutionary Economics, Springer, vol. 23(4), pages 811-829, September.
    6. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2017. "Side effects of nonlinear profit taxes in an evolutionary market entry model: Abrupt changes, coexisting attractors and hysteresis problems," Journal of Economic Behavior & Organization, Elsevier, vol. 135(C), pages 15-38.
    7. Agliari, Anna & Commendatore, Pasquale & Foroni, Ilaria & Kubin, Ingrid, 2015. "Agglomeration dynamics and first nature asymmetries," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 81-98.
    8. Ingrid Kubin & Laura Gardini, 2022. "On the significance of borders: the emergence of endogenous dynamics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 41-62, January.

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