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Computation of Equilibria in OLG Models with Many Heterogeneous Households

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  • Rausch, Sebastian
  • Rutherford, Thomas F.

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.

Suggested Citation

  • Rausch, Sebastian & Rutherford, Thomas F., 2007. "Computation of Equilibria in OLG Models with Many Heterogeneous Households," Ruhr Economic Papers 15, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    • Handle: RePEc:zbw:rwirep:15
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    1. François Bourguignon & Amedeo Spadaro, 2006. "Microsimulation as a tool for evaluating redistribution policies," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 4(1), pages 77-106, April.
    2. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    3. Sebastian Rausch & Thomas Rutherford, 2010. "Computation of Equilibria in OLG Models with Many Heterogeneous Households," Computational Economics, Springer;Society for Computational Economics, vol. 36(2), pages 171-189, August.
    4. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 1-19.
    5. Mark Huggett & Gustavo Ventura, 1999. "On the Distributional Effects of Social Security Reform," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 498-531, July.
    6. 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.
    7. 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.
    8. Robert M. Townsend & Mr. Kenichi Ueda, 2003. "Financial Deepening, Inequality, and Growth: A Model-Based Quantitative Evaluation," IMF Working Papers 2003/193, International Monetary Fund.
    9. Svend E. Hougaard Jensen & Thomas F. Rutherford, 2002. "Distributional Effects of Fiscal Consolidation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 104(3), pages 471-493, September.
    10. Hans Fehr, 2000. "Pension Reform during the Demographic Transition," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(3), pages 419-443, September.
    11. repec:bla:devpol:v:23:y:2005:i:3:p:313-331 is not listed on IDEAS
    12. 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.
    13. Luc Savard, 2003. "Poverty and Income Distribution in a CGE-Household Micro-Simulation Model: Top-Down/Bottom Up Approach," Cahiers de recherche 0343, CIRPEE.
    14. 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.
    15. Thomas F. Rutherford & David G. Tarr, 2014. "Poverty effects of Russia's WTO accession: Modeling “real” households with endogenous productivity effects," World Scientific Book Chapters, in: APPLIED TRADE POLICY MODELING IN 16 COUNTRIES Insights and Impacts from World Bank CGE Based Projects, chapter 12, pages 287-306, World Scientific Publishing Co. Pte. Ltd..
    16. Ventura, Gustavo, 1999. "Flat tax reform: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1425-1458, September.
    17. 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.
    18. 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.
    19. Melanie Arntz & Stefan Boeters & Nicole Gürtzgen & Stefanie Schubert, 2006. "Analysing Welfare Reform in a Microsimulation-AGE Model," Computing in Economics and Finance 2006 109, Society for Computational Economics.
    20. 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.
    21. repec:bla:scandj:v:102:y:2000:i:3:p:419-43 is not listed on IDEAS
    22. 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.
    23. Larch, Martin, 1993. "Dynamically Inefficient Equilibria in the Auerbach-Kotlikoff Model," Empirical Economics, Springer, vol. 18(1), pages 159-172.
    24. Kehoe,Timothy J. & Srinivasan,T. N. & Whalley,John (ed.), 2005. "Frontiers in Applied General Equilibrium Modeling," Cambridge Books, Cambridge University Press, number 9780521825252, January.
    25. 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.
    26. Sebastian Rausch, 2009. "Macroeconomic Consequences of Demographic Change," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-00146-8, October.
    27. repec:bla:scandj:v:104:y:2002:i:3:p:471-93 is not listed on IDEAS
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    Cited by:

    1. 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.
    2. Sebastian Rausch & Thomas Rutherford, 2010. "Computation of Equilibria in OLG Models with Many Heterogeneous Households," Computational Economics, Springer;Society for Computational Economics, vol. 36(2), pages 171-189, August.
    3. Sameera Awawda & Mohammad Abu-Zaineh, 2019. "An Operationalizing Theoretical Framework for the Analysis of Universal Health Coverage Reforms: First Test on an Archetype Developing Economy," Working Papers halshs-02009858, HAL.
    4. Hoffmann, Christin, 2019. "Estimating the benefits of adaptation to extreme climate events, focusing on nonmarket damages," Ecological Economics, Elsevier, vol. 164(C), pages 1-1.
    5. Andreas PEICHL, 2008. "The Benefits of Linking CGE and Microsimulation Models - Evidence from a Flat Tax analysis," EcoMod2008 23800106, EcoMod.
    6. Rausch, Sebastian & Metcalf, Gilbert E. & Reilly, John M., 2011. "Distributional impacts of carbon pricing: A general equilibrium approach with micro-data for households," Energy Economics, Elsevier, vol. 33(S1), pages 20-33.
    7. Balistreri, Edward J. & Hillberry, Russell H. & Rutherford, Thomas F., 2010. "Trade and welfare: Does industrial organization matter?," Economics Letters, Elsevier, vol. 109(2), pages 85-87, November.
    8. Schmitz, Christoph & Biewald, Anne & Lotze-Campen, Hermann & Popp, Alexander, 2011. "Increased Agricultural Trade and its Impacts on Food System, Land-use and Greenhouse Gas Emissions," Conference papers 332165, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    9. Magnani, Riccardo & Mercenier, Jean, 2009. "On linking microsimulation and computable general equilibrium models using exact aggregation of heterogeneous discrete-choice making agents," Economic Modelling, Elsevier, vol. 26(3), pages 560-570, May.
    10. Melnikov, Nikolai B. & O’Neill, Brian C. & Dalton, Michael G. & van Ruijven, Bas J., 2017. "Downscaling heterogeneous household outcomes in dynamic CGE models for energy-economic analysis," Energy Economics, Elsevier, vol. 65(C), pages 87-97.
    11. Gauthier de Maere d'Aertrycke & Olivier Durand-Lasserve & Marco Schudel, 2014. "Integration of Power Generation Capacity Expansion in an Applied General Equilibrium Model," Working Papers 2014.71, Fondazione Eni Enrico Mattei.
    12. Lanz, Bruno & Rausch, Sebastian, 2012. "Cap-and-Trade Climate Policies with Price-Regulated Firms: How Costly Are Free Allowances?," Conference papers 332267, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    13. 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.
    14. Sameera Awawda & Mohammad Abu-Zaineh, 2019. "An Operationalizing Theoretical Framework for the Analysis of Universal Health Coverage Reforms: First Test on an Archetype Developing Economy," Working Papers halshs-02009858, HAL.
    15. Florian Landis & Sebastian Rausch & Mirjam Kosch & Christoph Böhringer, 2019. "Efficient and Equitable Policy Design: Taxing Energy Use or Promoting Energy Savings?," The Energy Journal, , vol. 40(1), pages 73-104, January.
    16. Orlando Gomes, 2022. "Human capital and growth in an OLG-life cycle model," SN Business & Economics, Springer, vol. 2(1), pages 1-26, January.
    17. 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.
    18. Boeters, Stefan & Savard, Luc, 2013. "The Labor Market in Computable General Equilibrium Models," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1645-1718, Elsevier.

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    More about this item

    Keywords

    Computable general equilibrium; overlapping generations; microsimulation; sequential recalibration;
    All these keywords.

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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