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Improving Tatonnement Methods for Solving Heterogeneous Agent Models

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  • Ludwig, Alexander

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

Abstract

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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Bibliographic Info

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 Börsch-Supan & Alexander Ludwig & Joachim Winter, 2002. "Aging, pension reform and capital flows: a multi-country simulation model," Computing in Economics and Finance 2002 108, Society for Computational Economics.
  2. Domeij, David & Flodén, Martin, 2003. "Population Aging and International Capital Flows," Working Paper Series in Economics and Finance 539, Stockholm School of Economics, revised 21 Oct 2003.
  3. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-85, July.
  4. David Altig, 2001. "Simulating Fundamental Tax Reform in the United States," American Economic Review, American Economic Association, vol. 91(3), pages 574-595, June.
  5. 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.
  6. 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.
  7. 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.
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Cited by:
  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. Axel H. Boersch-Supan & Alexander Ludwig, 2010. "Old Europe ages: Reforms and Reform Backlashes," NBER Working Papers 15744, National Bureau of Economic Research, Inc.
  3. Alexander Ludwig, 2005. "Aging and Economic Growth: The Role of Factor Markets and of Fundamental Pension Reforms," MEA discussion paper series 05094, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
  4. Alexander Ludwig, 2005. "Moment estimation in Auerbach-Kotlikoff models: How well do they match the data?," MEA discussion paper series 05093, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.

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