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Spatial Allocation of Economy as a Fiber Bundle

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  • Van-Ilya, Andrei

Abstract

This paper considers the approach to specification and modeling of transport influence on spatial allocation of economy, which is essentially new for economics. By applying the concept of fiber bundle, a general model of spatial allocation of market with regard to transport costs is developed. Corresponding mathematical formulation of model equilibrium condition and transition dynamics is stated based on the principle of least action and gauge invariance. Further development of obtained theoretical results within the framework is reviewed.

Suggested Citation

  • Van-Ilya, Andrei, 2012. "Spatial Allocation of Economy as a Fiber Bundle," MPRA Paper 40820, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:40820
    as

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    File URL: https://mpra.ub.uni-muenchen.de/49293/1/MPRA_paper_49293.pdf
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    References listed on IDEAS

    as
    1. Blaug,Mark, 1997. "Economic Theory in Retrospect," Cambridge Books, Cambridge University Press, number 9780521577014.
    2. Masahisa Fujita & Tomoya Mori, 2005. "Transport development and the evolution of economic geography," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 4(2), pages 129-156, August.
    3. Paul Krugman, 2011. "The New Economic Geography, Now Middle-aged," Regional Studies, Taylor & Francis Journals, vol. 45(1), pages 1-7.
    4. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    5. Masahisa Fujita & Tomoya Mori, 2005. "Frontiers of the New Economic Geography," KIER Working Papers 604, Kyoto University, Institute of Economic Research.
    6. J. Peter Neary, 2000. "Monopolistic competition and international trade theory," Working Papers 200025, School of Economics, University College Dublin.
    7. Venables, Anthony J, 1996. "Equilibrium Locations of Vertically Linked Industries," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 341-359, May.
    8. Fujita, Masahisa, 1988. "A monopolistic competition model of spatial agglomeration : Differentiated product approach," Regional Science and Urban Economics, Elsevier, vol. 18(1), pages 87-124, February.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    transport costs; market allocation in space; fiber bundle; gauge model;

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R49 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Other

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