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Solving heterogeneous-agent models by projection and perturbation

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  • Reiter, Michael

Abstract

The paper proposes a numerical solution method for general equilibrium models with a continuum of heterogeneous agents that combines elements of projection and of perturbation methods. The basic idea is to solve first for the stationary solution of the model, without aggregate shocks but with fully specified idiosyncratic shocks. Afterwards one computes a first-order perturbation of the solution in the aggregate shocks. This approach allows to include a high-dimensional representation of the cross-sectional distribution in the state vector. The method is applied to a model of household saving with uninsurable income risk and liquidity constraints. Techniques are discussed to reduce the dimension of the state space such that higher order perturbations are feasible.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:33:y:2009:i:3:p:649-665
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    References listed on IDEAS

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    1. Christopher D. Carroll, 2004. "Theoretical Foundations of Buffer Stock Saving," Economics Working Paper Archive 517, The Johns Hopkins University,Department of Economics.
    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.
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    7. 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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    More about this item

    Keywords

    Heterogeneous agents Projection methods Perturbation methods Invariant distribution;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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