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Approximation Methods: an Application to the Core-Periphery Model

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  • Marco Maffezzoli
  • Federico Trionfetti

Abstract

A feature of new economic geography model is their mathematical intractability. This intractability results from the fact that the functional relationship between the indirect utility differential and the state variable cannot be found explicitly. We illustrate three methods that can be utilized to approximate the unknown function. These methods are simple and give a remarkable improvement in the precision of approximation with respect to the commonly utilized Lagrange approximation. Precision of approximation is important in models that feature catastrophic behavior. We apply these methods to the core-periphery model. Naturally, they can be applied to all cases of unknown functional relationships.

Suggested Citation

  • Marco Maffezzoli & Federico Trionfetti, "undated". "Approximation Methods: an Application to the Core-Periphery Model," Working Papers 219, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  • Handle: RePEc:igi:igierp:219
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    References listed on IDEAS

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    1. Kyoji Fukao & Roland Benabou, 1993. "History Versus Expectations: A Comment," The Quarterly Journal of Economics, Oxford University Press, vol. 108(2), pages 535-542.
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    3. Richard E. Baldwin, 1999. "The Core-Periphery Model with Forward-Looking Expectations," NBER Working Papers 6921, National Bureau of Economic Research, Inc.
    4. Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, January.
    5. Puga, Diego, 1999. "The rise and fall of regional inequalities," European Economic Review, Elsevier, vol. 43(2), pages 303-334, February.
    6. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    7. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411.
    8. Gianmarco I. P. Ottaviano & Diego Puga, 1998. "Agglomeration in the Global Economy: A Survey of the 'New Economic Geography'," The World Economy, Wiley Blackwell, vol. 21(6), pages 707-731, August.
    9. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 651-667.
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