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Improving Tatonnement Methods for Solving Heterogeneous Agent Models

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Author Info
Ludwig, Alexander () (Mannheim Research Institute for the Economics of Aging (MEA) and Sonderforschungsbereich 504)

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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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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
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Handle: RePEc:xrs:sfbmaa:04-29

Note: I thank Alan Auerbach, Axel Börsch-Supan,
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  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. [Downloadable!]
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  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. [Downloadable!] (restricted)
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  4. Axel Börsch-Supan & Alexander Ludwig & Joachim Winter, 2005. "Aging, Pension Reform, and Capital Flows: A Multi-Country Simulation Model," DNB Working Papers 065, Netherlands Central Bank, Research Department. [Downloadable!]
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  5. 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. [Downloadable!] (restricted)
  6. David Altig et al., 2001. "Simulating Fundamental Tax Reform in the United States," American Economic Review, American Economic Association, vol. 91(3), pages 574-595, June. [Downloadable!] (restricted)
  7. Juillard, Michel, 1996. "Dynare : a program for the resolution and simulation of dynamic models with forward variables through the use of a relaxation algorithm," CEPREMAP Working Papers (Couverture Orange) 9602, CEPREMAP. [Downloadable!]
  8. 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. [Downloadable!] (restricted)
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  1. Axel Börsch-Supan & Alexander Ludwig & Joachim Winter, 2004. "Aging, Pension Reform, and Capital Flows: A Multi-Country Simulation Model," MEA discussion paper series 04064, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
    Other versions:
  2. Alexander Ludwig, 2005. "Aging and Economic Growth: The Role of Factor Markets and of Fundamental Pension Reforms," MEA discussion paper series 05094, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
    Other versions:
  3. Alexander Ludwig, 2005. "Moment estimation in Auerbach-Kotlikoff models: How well do they match the data?," MEA discussion paper series 05093, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
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  4. Axel Börsch-Supan & Alexander Ludwig, 2008. "Old Europe Ages: Reforms and Reform Backlashes," NBER Chapters, in: Topics in Demography and the Economy National Bureau of Economic Research, Inc. [Downloadable!]
  5. Börsch-Supan, Axel & Ludwig, Alexander & Winter, Joachim, 2004. "Aging, Pension Reform, and Capital Flows:," Sonderforschungsbereich 504 Publications 04-65, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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