Forming Rational Expectations and When It Is Right to Be Wrong

Working Paper: CEPR ID: DP5042

Authors: Maria Demertzis; Andrew Hughes Hallett

Abstract: In this paper we examine the effects of private agents being less than fully rational. We examine this in the context of monetary policy, where the Central Bank may have uncertain preferences either by choice or by necessity. The new feature is that we allow the public to react in two different ways to this uncertainty. They either form rational expectations and internalize the uncertainty about the Central Bank?s preferences in full; or alternatively, and if this process of internalization is costly, it forms a ?best? guess regarding those preferences. This implies a certainty equivalence strategy applied to the preference parameters. As those parameters enter the decisions non-linearly, a systematic error emerges. We examine the magnitude of the resulting error in inflation and output, following the assumption of certainty equivalence. Under all reasonable levels of uncertainty this error turns out to be small but involves trading a deflation bias against the cost of gathering the information needed for the full rational expectations solution.

Keywords: Central Bank Preference; Uncertainty; Certainty Equivalence; Rational Expectations

JEL Codes: E52; E58


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
private sector assumptions about central bank preferences (E58)inflation forecasts (E31)
private sector assumptions about central bank preferences (E58)output forecasts (F17)
preference uncertainty (D81)expected inflation (E31)
certainty equivalence (D50)average level of inflation (E31)
certainty equivalence (D50)deflation bias in output forecasts (E31)
rational expectations (D84)elimination of deflation bias in output forecasts (E31)

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