Mitigation of the Lucas critique with stochastic control methods

Lucas (In: Brunner, K., Meltzer, A.H. (Eds.), The Phillips Curve and the Labor Markets, Supplementary Series to the Journal of Monetary Economics, 1976, pp. 19–46) pointed out, that when optimization is performed on a deterministic macro model, the resulting policy may not reflect the true optimal s...

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Bibliographic Details
Published in:Journal of economic dynamics & control 2003-09, Vol.27 (11), p.2035-2057
Main Authors: Amman, Hans M., Kendrick, David A.
Format: Article
Language:English
Subjects:
Computer science
Economic theory
Economics
Finance
Macroeconomics
Mathematical methods
Methodology
Numerical experiments
Optimization
Phillips curve
Policy making
Rational expectations
Research methods
Stochastic models
Stochastic optimization
Stochastic processes
Studies
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Summary:Lucas (In: Brunner, K., Meltzer, A.H. (Eds.), The Phillips Curve and the Labor Markets, Supplementary Series to the Journal of Monetary Economics, 1976, pp. 19–46) pointed out, that when optimization is performed on a deterministic macro model, the resulting policy may not reflect the true optimal solution. Private agents may react to announced policies and consequently model parameters will start to drift. The aim of this paper is to develop a methodology for deriving an optimal policy in the presence of rational expectations and parameter drift. This drift is captured by a stochastic optimization framework with time-varying parameters. The resulting optimal policy is capable of tracking changes in the parameters due to policy changes. A numerical example illustrates how the methodology provides a way to mitigate the effects of the Lucas critique.
ISSN:0165-1889
1879-1743
DOI:10.1016/S0165-1889(02)00115-X