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Does Near-Rationality Matter in First-Order Approximate Solutions? A Perturbation Approach

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Abstract

This paper studies first-order approximate solutions to near-rational dynamic stochastic models. Under near-rationality, subjective beliefs are distorted away from rational expectations via a change of measure process which fulfils some regularity conditions. As a main result, we show that equilibrium indeterminacy may arise even when the martingale representation of beliefs distortion depends on the economy's fundamentals solely. This provides theoretical support to the modeling assumptions of Woodford [American Economic Review 100, 274-333 (2010)]

Suggested Citation

  • Frank Hespeler & Marco M. Sorge, 2013. "Does Near-Rationality Matter in First-Order Approximate Solutions? A Perturbation Approach," CSEF Working Papers 339, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    • Handle: RePEc:sef:csefwp:339
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    1. Michael Woodford, 2010. "Robustly Optimal Monetary Policy with Near-Rational Expectations," American Economic Review, American Economic Association, vol. 100(1), pages 274-303, March.
    2. Adam, Klaus & Woodford, Michael, 2012. "Robustly optimal monetary policy in a microfounded New Keynesian model," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 468-487.
    3. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    4. Hansen, Lars Peter & Sargent, Thomas J., 2005. "Robust estimation and control under commitment," Journal of Economic Theory, Elsevier, vol. 124(2), pages 258-301, October.
    5. Frank Hespeler, 2008. "Solution Algorithm to a Class of Monetary Rational Equilibrium Macromodels with Optimal Monetary Policy Design," Computational Economics, Springer;Society for Computational Economics, vol. 31(3), pages 207-223, April.
    6. Beyer, Andreas & Farmer, Roger E.A., 2008. "What We Don'T Know About The Monetary Transmission Mechanism And Why We Don'T Know It," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S1), pages 60-74, April.
    7. Benigno, Pierpaolo & Paciello, Luigi, 2014. "Monetary policy, doubts and asset prices," Journal of Monetary Economics, Elsevier, vol. 64(C), pages 85-98.
    8. Hong Lan & Alexander Meyer-Gohde, 2012. "Existence and Uniqueness of Perturbation Solutions to DSGE Models," SFB 649 Discussion Papers SFB649DP2012-015, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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    More about this item

    Keywords

    Near-Rationality; Perturbation methods; Equilibrium indeterminacy;
    All these keywords.

    JEL classification:

    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E0 - Macroeconomics and Monetary Economics - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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