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When Does Determinacy Imply Expectational Stability?

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  • Stefano Eusepi

    (Federal Reserve Bank of New York)

  • James Bullard

    (Federal Reserve Bank of St. Louis)

Abstract

We study the connections between determinacy of rational expectations equilibrium, and expectational stability or learnability of that equilibrium, in a relatively general New Keynesian model. Adoption of policies that induce both determinacy and learnability of equilibrium has been considered fundamental to successful policy in the literature. We ask what types of economic assumptions drive differences in the necessary and sufficient conditions for the two criteria. Our framework is sufficiently flexible to encompass lags in information, alternative pricing assumptions, a cost channel for monetary policy, and either Euler equation or infinite horizon approaches to learning. We are able to isolate conditions under which determinacy does and does not imply learnability, and also conditions under which long horizon forecasts make a clear difference to conclusions about expectational stability. The sharpest result is that informational delays break equivalence connections between determinacy and learnability.

Suggested Citation

  • Stefano Eusepi & James Bullard, 2008. "When Does Determinacy Imply Expectational Stability?," 2008 Meeting Papers 897, Society for Economic Dynamics.
  • Handle: RePEc:red:sed008:897
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    Cited by:

    1. Stefano Eusepi & Bruce Preston, 2011. "Expectations, Learning, and Business Cycle Fluctuations," American Economic Review, American Economic Association, vol. 101(6), pages 2844-2872, October.
    2. Cho, Seonghoon, 2015. "Determinacy and e-stability under reduced-form learning," Economics Letters, Elsevier, vol. 128(C), pages 69-71.
    3. Muto, Ichiro, 2011. "Monetary policy and learning from the central bank's forecast," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 52-66, January.
    4. Ellison, Martin & Pearlman, Joseph, 2011. "Saddlepath learning," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1500-1519, July.
    5. Eo, Yunjong & McClung, Nigel, 2021. "Determinacy and E-stability with interest rate rules at the zero lower bound," Bank of Finland Research Discussion Papers 14/2021, Bank of Finland.
    6. Michele Berardi & Jaqueson K. Galimberti, 2012. "On the plausibility of adaptive learning in macroeconomics: A puzzling conflict in the choice of the representative algorithm," Centre for Growth and Business Cycle Research Discussion Paper Series 177, Economics, The University of Manchester.

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