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Improving Tatonnement Methods for Solving Heterogeneous Agent Models

  • Ludwig, Alexander

    ()

    (Mannheim Research Institute for the Economics of Aging (MEA) and Sonderforschungsbereich 504)

This paper modifies standard block Gauss-Seidel iterations used by tatonnement methods for solving large scale deterministic heterogeneous agent models. The composite method between first- and second-order tatonnement methods is shown to considerably improve convergence both in terms of speed as well as robustness relative to conventional first-order tatonnement methods. In addition, the relative advantage of the modified algorithm increases in the size and complexity of the economic model. Therefore, the algorithm allows significant reductions in computational time when solving large models. The algorithm is particularly attractive since it is easy to implement - it only augments conventional and intuitive tatonnement iterations with standard numerical methods.

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File URL: http://www.sfb504.uni-mannheim.de/publications/dp04-29.pdf
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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 04-29.

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Length: 30 pages
Date of creation: 07 Sep 2004
Date of revision:
Handle: RePEc:xrs:sfbmaa:04-29
Note: I thank Alan Auerbach, Axel Börsch-Supan,
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  1. Axel B�Rsch-Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi-Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
  2. Boucekkine, Raouf, 1995. "An alternative methodology for solving nonlinear forward-looking models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 711-734, May.
  3. Martin Floden & David Domeij, 2004. "Population Aging and International Capital Flows," 2004 Meeting Papers 490, Society for Economic Dynamics.
  4. Judd, Kenneth L., 2002. "The parametric path method: an alternative to Fair-Taylor and L-B-J for solving perfect foresight models," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1557-1583, August.
  5. Ray C. Fair & John B. Taylor, 1980. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Cowles Foundation Discussion Papers 564, Cowles Foundation for Research in Economics, Yale University.
  6. David Altig, 2001. "Simulating Fundamental Tax Reform in the United States," American Economic Review, American Economic Association, vol. 91(3), pages 574-595, June.
  7. Juillard, Michel & Laxton, Douglas & McAdam, Peter & Pioro, Hope, 1998. "An algorithm competition: First-order iterations versus Newton-based techniques," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1291-1318, August.
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