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Computation of Equilibria in OLG Models with Many Heterogeneous Households

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  • Sebastian Rausch

    ()

  • Thomas F. Rutherford

Abstract

This paper develops a decomposition algorithm by which a market economy with many households may be solved through the computation of equilibria for a sequence of representative agent economies. The paper examines local and global convergence properties of the sequential recalibration (SR) algorithm. SR is then demonstrated to efficiently solve Auerbach-Kotlikoff OLG models with a large number of heterogeneous households. We approximate equilibria in OLG models by solving a sequence of related Ramsey optimal growth problems.This approach can provide improvements in both efficiency and robustness as compared with simultaneous solution-methods.

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Bibliographic Info

Paper provided by Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen in its series Ruhr Economic Papers with number 0015.

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Length: 39 pages
Date of creation: Jun 2007
Date of revision:
Handle: RePEc:rwi:repape:0015

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Keywords: Computable general equilibrium; overlapping generations; microsimulation; sequential recalibration;

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References

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  1. Rasmussen, Tobias N. & Rutherford, Thomas F., 2004. "Modeling overlapping generations in a complementarity format," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1383-1409, April.
  2. Robert M. Townsend & Kenichi Ueda, 2003. "Financial Deepening, Inequality, and Growth," IMF Working Papers 03/193, International Monetary Fund.
  3. Jensen, Svend E Hougaard & Rutherford, Thomas F, 2002. " Distributional Effects of Fiscal Consolidation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 104(3), pages 471-93, September.
  4. Fehr, Hans, 1999. "Pension reform during the demographic transition," W.E.P. - Würzburg Economic Papers 8, University of Würzburg, Chair for Monetary Policy and International Economics.
  5. Timothy J Kehoe & David K Levine, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Levine's Working Paper Archive 1873, David K. Levine.
  6. Herbert E. Scarf, 1959. "Some Examples of Global Instability of the Competitive Equilibrium," Cowles Foundation Discussion Papers 79, Cowles Foundation for Research in Economics, Yale University.
  7. Sebastian Rausch & Thomas F. Rutherford, 2007. "Computation of Equilibria in OLG Models with Many Heterogeneous Households," Ruhr Economic Papers 0015, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  8. François Bourguignon & Amedeo Spadaro, 2006. "Microsimulation as a tool for evaluating redistribution policies," Journal of Economic Inequality, Springer, vol. 4(1), pages 77-106, April.
  9. Arntz, Melanie & Boeters, Stefan & Gürtzgen, Nicole & Schubert, Stefanie, 2008. "Analysing welfare reform in a microsimulation-AGE model: The value of disaggregation," Economic Modelling, Elsevier, vol. 25(3), pages 422-439, May.
  10. Luc Savard, 2004. "Poverty and Inequality Analysis within a CGE Framework: a Comparative Analysis of the Representative Agent and Micro-Simulation Approaches," Cahiers de recherche 0412, CIRPEE.
  11. Rutherford, Thomas & Tarr, David & Shepotylo, Oleksandr, 2005. "Poverty effects of Russia's WTO accession : modeling"real"households and endogenous productivity effects," Policy Research Working Paper Series 3473, The World Bank.
  12. Larch, Martin, 1993. "Dynamically Inefficient Equilibria in the Auerbach-Kotlikoff Model," Empirical Economics, Springer, vol. 18(1), pages 159-72.
  13. Barbie Martin & Hagedorn Marcus & Kaul Ashok, 2004. "Assessing Aggregate Tests of Efficiency for Dynamic Economies," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-17, December.
  14. Rutherford, Thomas F. & Tarr, David G., 2008. "Poverty effects of Russia's WTO accession: Modeling "real" households with endogenous productivity effects," Journal of International Economics, Elsevier, vol. 75(1), pages 131-150, May.
  15. Rutherford, Thomas F., 1995. "Extension of GAMS for complementarity problems arising in applied economic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1299-1324, November.
  16. Cororaton, Caesar B. & Cockburn, John, 2007. "Trade reform and poverty--Lessons from the Philippines: A CGE-microsimulation analysis," Journal of Policy Modeling, Elsevier, vol. 29(1), pages 141-163.
  17. Lau, Morten I. & Pahlke, Andreas & Rutherford, Thomas F., 2002. "Approximating infinite-horizon models in a complementarity format: A primer in dynamic general equilibrium analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(4), pages 577-609, April.
  18. Juan C. Conesa & Dirk Krueger, 1999. "Social Security Reform with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(4), pages 757-795, October.
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Citations

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Cited by:
  1. Edward J. Balistreri & Russell H. Hillberry & Thomas F. Rutherford, 2009. "Trade and Welfare: Does Industrial Organization Matter?," CER-ETH Economics working paper series 09/119, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  2. Peichl, Andreas, 2008. "The Benefits of Linking CGE and Microsimulation Models: Evidence from a Flat Tax Analysis," IZA Discussion Papers 3715, Institute for the Study of Labor (IZA).
  3. Sebastian Rausch & Thomas F. Rutherford, 2008. "Computation of Equilibria in OLGModels with Many Heterogeneous Households," CER-ETH Economics working paper series 08/90, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  4. Magnani R. & Mercenier J., 2008. "On Linking Microsimulation and Computable General Equilibrium Models Using Exact Aggregation of Heterogeneous Discrete-choice Making Agents," Working Papers ERMES 0809, ERMES, University Paris 2.
  5. Jansson, Torbjorn & Bakker, Martha M. & Boitier, B. & Fougeyrollas, A. & Helming, John F.M. & van Meijl, Hans & Verkerk, P.J., 2008. "Linking models for land use analysis: experiences from the SENSOR project," 2008 International Congress, August 26-29, 2008, Ghent, Belgium 44169, European Association of Agricultural Economists.
  6. Melnikov, N.B. & O'Neill, B.C. & Dalton, M.G., 2012. "Accounting for household heterogeneity in general equilibrium economic growth models," Energy Economics, Elsevier, vol. 34(5), pages 1475-1483.
  7. Kathy Hibbard & Anthony Janetos, 2013. "The regional nature of global challenges: a need and strategy for integrated regional modeling," Climatic Change, Springer, vol. 118(3), pages 565-577, June.
  8. Boeters, Stefan & Savard, Luc, 2013. "The Labor Market in Computable General Equilibrium Models," Handbook of Computable General Equilibrium Modeling, Elsevier.

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