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Spatial Equilibria: The Case of Two Regions

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  • Konstantin Kucheryavyy
  • Gary Lyn
  • Andrés Rodríguez-Clare

Abstract

In this paper we characterize the set of equilibria in a generalized version of the canonical two-region economic geography model that nests the class of models in Allen and Arkolakis (2014) as well as Krugman (1991) and features an input-output loop. We provide sufficient conditions for uniqueness of equilibria that — in contrast to the well-know result in Allen and Arkolakis (2014) — allow for positive agglomeration externalities, which concentrate economic activity, even in the absence of congestion effects, which disperse it, and highlight the key role played by three additional parameters: the trade elasticity, which regulates the strength of the dispersion force associated with the decline in the terms of trade caused by migration into a region; trade costs, which weaken this dispersion force by limiting trade across regions; and the importance of the agricultural sector, which pushes against agglomeration forces in manufacturing.

Suggested Citation

  • Konstantin Kucheryavyy & Gary Lyn & Andrés Rodríguez-Clare, 2021. "Spatial Equilibria: The Case of Two Regions," NBER Working Papers 29592, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:29592
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    References listed on IDEAS

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    1. Pierre-Philippe Combes & Thierry Mayer & Jacques-François Thisse, 2008. "Economic Geography: The Integration of Regions and Nations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00311000, HAL.
    2. Treb Allen & Costas Arkolakis, 2014. "Trade and the Topography of the Spatial Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1085-1140.
    3. Konstantin Kucheryavyy & Gary Lyn & Andrés Rodríguez-Clare, 2023. "Grounded by Gravity: A Well-Behaved Trade Model with Industry-Level Economies of Scale," American Economic Journal: Macroeconomics, American Economic Association, vol. 15(2), pages 372-412, April.
    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. Baum-Snow, Nathaniel & Henderson, J. Vernon & Turner, Matthew A. & Zhang, Qinghua & Brandt, Loren, 2020. "Does investment in national highways help or hurt hinterland city growth?," Journal of Urban Economics, Elsevier, vol. 115(C).
    6. Pierre-Philippe Combes & Thierry Mayer & Jacques-François Thisse, 2008. "Economic Geography: The Integration of Regions and Nations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00311000, HAL.
    7. 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.
    8. Sidorov, Alexander, 2011. "The Impact of Exogenous Asymmetry on Trade and Agglomeration in Core-Periphery Model," MPRA Paper 29627, University Library of Munich, Germany.
    9. He, Guojun & Xie, Yang & Zhang, Bing, 2020. "Expressways, GDP, and the environment: The case of China," Journal of Development Economics, Elsevier, vol. 145(C).
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    Cited by:

    1. Farid Farrokhi, 2021. "Skill, Agglomeration, And Inequality In The Spatial Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(2), pages 671-721, May.
    2. Patrizio Bifulco & Jochen Gluck & Oliver Krebs & Bohdan Kukharskyy, 2022. "Single and Attractive: Uniqueness and Stability of Economic Equilibria under Monotonicity Assumptions," Papers 2209.02635, arXiv.org.

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    More about this item

    JEL classification:

    • F10 - International Economics - - Trade - - - General
    • F20 - International Economics - - International Factor Movements and International Business - - - General
    • R0 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General
    • R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies

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