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Solving Heterogeneous-Agent Models with Parameterized Cross-Sectional Distributions

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Author Info
Algan, Yann
Allais, Olivier
Den Haan, Wouter

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Abstract

A new algorithm is developed to solve models with heterogeneous agents and aggregate uncertainty that avoids some disadvantages of the prevailing algorithm that strongly relies on simulation techniques and is easier to implement than existing algorithms. A key aspect of the algorithm is a new procedure that parameterizes the cross-sectional distribution, which makes it possible to avoid Monte Carlo integration. The paper also develops a new simulation procedure that not only avoids cross-sectional sampling variation but is also more than ten times faster than the standard procedure of simulating an economy with a large but finite number of agents. This procedure can help to improve the efficiency of the most popular algorithm in which simulation procedures play a key role.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6062.

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Date of creation: Jan 2007
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Handle: RePEc:cpr:ceprdp:6062

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Related research
Keywords: incomplete markets; numerical solution; projection method; simulation;

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Find related papers by JEL classification:
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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References listed on IDEAS
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. Bruce Preston & Mauro Roca, 2007. "Incomplete Markets, Heterogeneity and Macroeconomic Dynamics," NBER Working Papers 13260, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Miao, Jianjun, 2006. "Competitive equilibria of economies with a continuum of consumers and aggregate shocks," Journal of Economic Theory, Elsevier, vol. 128(1), pages 274-298, May. [Downloadable!] (restricted)
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  3. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July. [Downloadable!] (restricted)
    Other versions:
  4. 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. [Downloadable!] (restricted)
    Other versions:
  5. repec:cup:macdyn:v:1:y:1997:i:2:p:355-86 is not listed on IDEAS
  6. Marcelo L. Veracierto, 2002. "Plant-Level Irreversible Investment and Equilibrium Business Cycles," American Economic Review, American Economic Association, vol. 92(1), pages 181-197, March. [Downloadable!]
    Other versions:
  7. Den Haan, Wouter J., 1997. "Solving Dynamic Models With Aggregate Shocks And Heterogeneous Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 1(02), pages 355-386, June. [Downloadable!]
  8. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
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  9. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December. [Downloadable!] (restricted)
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  10. Krueger, Dirk & Kubler, Felix, 2004. "Computing equilibrium in OLG models with stochastic production," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1411-1436, April. [Downloadable!] (restricted)
  11. Jose-Victor Rios-Rull, 1997. "Computation of equilibria in heterogeneous agent models," Staff Report 231, Federal Reserve Bank of Minneapolis. [Downloadable!]
  12. Michael Reiter, 2006. "Solving Heterogeneous-Agent Models by Projection and Perturbation," Economics Working Papers 972, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  13. Eric R Young, 2005. "Approximate Aggregation," Computing in Economics and Finance 2005 141, Society for Computational Economics. [Downloadable!]
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Cited by:
(explanations, 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. Covas, Francisco & Den Haan, Wouter, 2007. "The Role of Debt and Equity Finance over the Business Cycle," CEPR Discussion Papers 6145, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  2. Michael Reiter, 2006. "Solving Heterogeneous-Agent Models by Projection and Perturbation," Economics Working Papers 972, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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