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A Cluster-Grid Projection Method: Solving Problems with High Dimensionality

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  • Kenneth L. Judd
  • Lilia Maliar
  • Serguei Maliar

Abstract

We develop a projection method that can solve dynamic economic models with a large number of state variables. A distinctive feature of our method is that it operates on the ergodic set realized in equilibrium: we simulate a model, distinguish clusters on simulated series and use the clusters’ centers as a grid for projections. Making the grid endogenous to the model allows us to avoid costs associated with finding a solution in areas of state space that are never visited in equilibrium. On a standard desktop computer, we calculate linear and quadratic solutions to a multi-country growth model with up to 400 and 80 state variables, respectively. Our solutions are global, and their accuracy does not rapidly decline away from steady state.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 15965.

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Date of creation: May 2010
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Handle: RePEc:nbr:nberwo:15965

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Cited by:
  1. Kenneth L. Judd & Lilia Maliar & Serguei Maliar & Rafael Valero, 2013. "Smolyak Method for Solving Dynamic Economic Models: Lagrange Interpolation, Anisotropic Grid and Adaptive Domain," BYU Macroeconomics and Computational Laboratory Working Paper Series 2013-02, Brigham Young University, Department of Economics, BYU Macroeconomics and Computational Laboratory.
  2. S. Borağan Aruoba & Frank Schorfheide, 2013. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Equilibria," NBER Working Papers 19248, National Bureau of Economic Research, Inc.
  3. Grey Gordon, 2011. "Computing Dynamic Heterogeneous-Agent Economies: Tracking the Distribution," PIER Working Paper Archive 11-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  4. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2011. "How to Solve Dynamic Stochastic Models Computing Expectations Just Once," NBER Working Papers 17418, National Bureau of Economic Research, Inc.
  5. 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.
  6. Alexander W. Richter & Nathaniel A. Throckmorton, 2013. "The Zero Lower Bound: Frequency, Duration, and Determinacy," Auburn Economics Working Paper Series auwp2013-16, Department of Economics, Auburn University.

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