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The Origin and the Resolution of Nonuniqueness in Linear Rational Expectations

John G. Thistle

arXiv 18 Jun 2018 · Finance — Economics · 1 citations (OpenAlex)

arXiv:1806.06657 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The nonuniqueness of rational expectations is explained: in the stochastic, discrete-time, linear, constant-coefficients case, the associated free parameters are coefficients that determine the public's most immediate reactions to shocks. The requirement of model-consistency may leave these parameters completely free, yet when their values are appropriately specified, a unique solution is determined. In a broad class of models, the requirement of least-square forecast errors determines the parameter values, and therefore defines a unique solution. This approach is independent of dynamical stability, and generally does not suppress model dynamics. Application to a standard New Keynesian example shows that the traditional solution suppresses precisely those dynamics that arise from rational expectations. The uncovering of those dynamics reveals their incompatibility with the new I-S equation and the expectational Phillips curve.

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Lubik and Schorfheide (2004) Testing for Indeterminacy: An Application to U.S. Monetary Policy1.00063100%
2Shiller (1978) Rational Expectations and the Dynamic Structure of Macroeconomic Models : A Critical Review1.00053100%
3Muth (1961) Rational Expectations and the Theory of Price Movements0.92843100%
4Blanchard (2018) On the future of macroeconomic models0.92843100%
5Taylor (1977) Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations0.87462100%
6Binder and Pesaran (1997) Multivariate Linear Rational Expectations Models0.8434475%
7Ba sar (1989) Some Thoughts on Rational Expectations Models, and Alternate Formulations0.64422100%
8Blanchard and Kahn (1980) The Solution of Linear Difference Models under Rational Expectations0.64422100%
9Lucas (1976) Econometric Policy Evaluation: A Critique0.64422100%
10King and Watson (1998) The Solution of Singular Linear Difference Systems under Rational Expectations0.64422100%

Showing the top 10 of 43 scored citations.