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Approximate and Almost-Exact Aggregation in Dynamic Stochastic Heterogeneous-Agent Models

  • Reiter, Michael

    (Department of Economics and Finance, Institute for Advanced Studies, Vienna, Austria)

The paper presents a new method to solve DSGE models with a great number of heterogeneous agents. Using tools from systems and control theory, it is shown how to reduce the dimension of the state and the policy vector so that the reduced model approximates the original model with high precision. The method is illustrated with a stochastic growth model with incomplete markets similar to Krusell and Smith (1998), and with a model of heterogeneous firms with state-dependent pricing. For versions of those models that are nonlinear in individual variables, but linearized in aggregate variables, approximations with 50 to 200 state variables deliver solutions that are precise up to machine precision. The paper also shows how to reduce the state vector even further, with a very small reduction in precision.

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File URL: http://www.ihs.ac.at/publications/eco/es-258.pdf
File Function: First version, 2010
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Paper provided by Institute for Advanced Studies in its series Economics Series with number 258.

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Length: 49 pages
Date of creation: Oct 2010
Date of revision:
Handle: RePEc:ihs:ihsesp:258
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Order Information: Postal: Institute for Advanced Studies - Library, Stumpergasse 56, A-1060 Vienna, Austria

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  1. James Costain & Antón Nákov, 2009. "Dynamics of the price distribution in a general model of state-dependent pricing," Banco de Espa�a Working Papers 0831, Banco de Espa�a.
  2. Den Haan, Wouter J. & Rendahl, Pontus, 2010. "Solving the incomplete markets model with aggregate uncertainty using explicit aggregation," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 69-78, January.
  3. Reiter, Michael & Sveen, Tommy & Weinke, Lutz, 2009. "Lumpy Investment and State-Dependent Pricing in General Equilibrium," Economics Series 239, Institute for Advanced Studies.
  4. Benjamin Malin & Dirk Krueger & Felix Kubler, 2007. "Computing Stochastic Dynamic Economic Models with a Large Number of State Variables: A Description and Application of a Smolyak-Collocation Method," NBER Technical Working Papers 0345, National Bureau of Economic Research, Inc.
  5. Fatih Guvenen, 2005. "An Empirical Investigation of Labor Income Processes," Macroeconomics 0508026, EconWPA.
  6. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
  7. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
  8. Ana Castaneda & Javier Diaz-Gimenez & Jose-Victor Rios-Rull, 2003. "Accounting for the U.S. Earnings and Wealth Inequality," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 818-857, August.
  9. Bruce Preston & Mauro Roca, 2007. "Incomplete Markets, Heterogeneity and Macroeconomic Dynamics," NBER Working Papers 13260, National Bureau of Economic Research, Inc.
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