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When Does Determinacy Imply Expectational Stability?

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  • JAMES BULLARD
  • STEFANO EUSEPI

Abstract

Since the introduction of rational expectations, there have been issues with multiple equilibria and equilibrium selection. We study the connections between determinacy of rational expectations equilibrium and learnability of that equilibrium in a general class of purely forward‐looking models. Our framework is sufficiently flexible to encompass lags in agents' information and either finite horizon 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 for learnability. Finally, we apply our result to a relatively general New Keynesian model.

Suggested Citation

  • James Bullard & Stefano Eusepi, 2014. "When Does Determinacy Imply Expectational Stability?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 1-22, February.
    • Handle: RePEc:wly:iecrev:v:55:y:2014:i:1:p:1-22
    DOI: 10.1111/iere.12039
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    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. Ascari, Guido & Mavroeidis, Sophocles & McClung, Nigel, 2023. "Coherence without rationality at the zero lower bound," Journal of Economic Theory, Elsevier, vol. 214(C).
    6. 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.
    7. 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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