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Robust expectations and uncertain models – A robust control approach with application to the New Keynesian economy

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  • Juha Kilponen

    (Bank of Finland)

Abstract

This paper extends Svensson and Woodford’s (2003) partial information framework by allowing the private agents to achieve robustness against incomplete information about the structure of the economy by distorting their expectations in a particular direction. It shows how a linear rational expectations equilibrium under concern for robustness can be solved by exploiting the recursive structure of the problem and appropriately modifying the Bellman equations in their framework. The standard Kalman filter is then used for information updating under imperfect measurement of the state variables. The standard New Keynesian model is used for illustrating how concern for modelling errors interacts with imperfect information. Agents achieve robustness by simultaneously over-estimating the persistence of exogenous shocks, but under-estimating the policy response to the output gap. This under- estimation, combined with imperfect measurement, leads to larger and more persistent responses of private consumption to government expenditure shocks under robust expectations.

Suggested Citation

  • Juha Kilponen, 2004. "Robust expectations and uncertain models – A robust control approach with application to the New Keynesian economy," GE, Growth, Math methods 0404004, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpge:0404004
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    References listed on IDEAS

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    Cited by:

    1. Stefano Neri & Tiziano Ropele, 2012. "Imperfect Information, Real‐Time Data and Monetary Policy in the Euro Area," Economic Journal, Royal Economic Society, vol. 122(561), pages 651-674, June.
    2. Michael Paetz, 2007. "Robust Control and Persistence in the New Keynesian Economy," Quantitative Macroeconomics Working Papers 20711, Hamburg University, Department of Economics.
    3. Michael Funke & Michael Paetz, 2011. "Environmental policy under model uncertainty: a robust optimal control approach," Climatic Change, Springer, vol. 107(3), pages 225-239, August.
    4. Kilponen, Juha & Leitemo, Kai, 2006. "Robustness in monetary policymaking : a case for the Friedman rule," Research Discussion Papers 4/2006, Bank of Finland.
    5. Juha Kilponen & Kai Leitemo, 2008. "Model Uncertainty and Delegation: A Case for Friedman's "k"-Percent Money Growth Rule?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(2-3), pages 547-556, March.

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    More about this item

    Keywords

    expectations; robust control; model uncertainty; monetary policy; imperfect information;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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