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Solving the multi-country Real Business Cycle model using a monomial rule Galerkin method

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  • Pichler, Paul

Abstract

I propose a Galerkin projection method for solving dynamic economic models with many state variables. This method employs non-product monomial integration formulas for the computation of weighted residuals, and its computational cost therefore increases only polynomially in the model's dimensionality. I illustrate the practical implementation of the proposed algorithm by solving several specifications of the multi-country Real Business Cycle model described in Den Haan et al. [2010. Computational suite of models with heterogeneous agents: multi-country Real Business Cycle models. Journal of Economic Dynamics and Control, this issue], and briefly discuss two possible routes for further improving its numerical accuracy.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 2 (February)
Pages: 240-251

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:2:p:240-251

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Web page: http://www.elsevier.com/locate/jedc

Related research

Keywords: Galerkin method Weighted residuals Monomial cubature rules Curse of dimensionality Multi-country Real Business Cycle model;

References

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  1. S. B. Aruoba & Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2005. "Comparing Solution Methods for Dynamic Equilibrium Economies," Levine's Bibliography 122247000000000855, UCLA Department of Economics.
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  3. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
  4. Algan, Yann & Allais, Olivier & Den Haan, Wouter J., 2010. "Solving the incomplete markets model with aggregate uncertainty using parameterized cross-sectional distributions," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 59-68, January.
  5. Den Haan, Wouter & Rendahl, Pontus, 2008. "Solving the Incomplete Markets Model with Aggregate Uncertainty using Explicit Aggregation," CEPR Discussion Papers 6963, C.E.P.R. Discussion Papers.
  6. Stefan Niemann & Paul Pichler & Gerhard Sorger, 2013. "Central Bank Independence And The Monetary Instrument Problem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 1031-1055, 08.
  7. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
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  10. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
  11. Viktor Winschel & Markus Kr‰tzig, 2010. "Solving, Estimating, and Selecting Nonlinear Dynamic Models Without the Curse of Dimensionality," Econometrica, Econometric Society, vol. 78(2), pages 803-821, 03.
  12. Fernando M. Martin, 2004. "A Positive Theory of Government Debt," Macroeconomics 0408013, EconWPA, revised 12 Oct 2004.
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  14. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
  15. Jess Gaspar & Kenneth L. Judd, 1997. "Solving Large Scale Rational Expectations Models," NBER Technical Working Papers 0207, National Bureau of Economic Research, Inc.
  16. Ulrich Doraszelski & Kenneth L. Judd, 2005. "Avoiding the Curse of Dimensionality in Dynamic Stochastic Games," Harvard Institute of Economic Research Working Papers 2059, Harvard - Institute of Economic Research.
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Cited by:
  1. Senbeta, Sisay, 2011. "How applicable are the new keynesian DSGE models to a typical low-income economy?," MPRA Paper 30931, University Library of Munich, Germany.
  2. Maliar, Lilia & Maliar, Serguei & Villemot, Sébastien, 2011. "Taking Perturbation to the Accuracy Frontier: A Hybrid of Local and Global Solutions," Dynare Working Papers 6, CEPREMAP, revised Jul 2012.

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