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Parameter Sensitivity Analysis of Hierarchical Spatial Economy: Trade Strategy around Brexit

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  • Kiyohiro Ikeda
  • Yosuke Kogure
  • Hiroki Aizawa
  • Yuki Takayama

Abstract

This paper presents a systematic framework for analyzing the economic parameter sensitivity of a hierarchical spatial economy within economic geography models. Through the hierarchical reduction approach proposed in this study, the original region-level governing equation is condensed into country-level and alliance-level equations. Based on the reduced governing equation, we formulate the sensitivity of economic variables on each country's population. This approach is applied to the analysis of international trade competition -- covering both trade liberalization and protectionism around Brexit -- among the UK, France, and Germany. We find that both the UK and the EU should focus on reducing domestic transportation costs, whereas tariffs and retaliatory tariffs act as a double-edged sword that can either strengthen or weaken their trade positions.

Suggested Citation

  • Kiyohiro Ikeda & Yosuke Kogure & Hiroki Aizawa & Yuki Takayama, 2026. "Parameter Sensitivity Analysis of Hierarchical Spatial Economy: Trade Strategy around Brexit," Papers 2606.09472, arXiv.org.
    • Handle: RePEc:arx:papers:2606.09472
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    References listed on IDEAS

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    1. Stephen J. Redding & Daniel M. Sturm, 2008. "The Costs of Remoteness: Evidence from German Division and Reunification," American Economic Review, American Economic Association, vol. 98(5), pages 1766-1797, December.
    2. Eckhard Janeba & Karl Schulz, 2024. "A Theory Of Economic Disintegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 65(1), pages 353-392, February.
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