Credibility and Time Inconsistency in a Stochastic World

Working Paper: CEPR ID: DP94

Authors: David Currie; Paul Levine

Abstract: This paper re-examines the issue of the credibility and sustainability of optimal policies derived from Pontryagin's Maximum Principle and generally regarded as time-inconsistent, in models with forward-looking rational expectations. Specifically, it considers the behaviour of such models in the presence of continuing stochastic noise. This is shown to convert the policy problem from a one-shot dynamic policy game to a continuing game, giving governments an incentive to invest in a reputation for not reneging on the full optimal rule. This incentive may, in certain circumstances, render the full optimal rule credible and therefore sustainable. It is demonstrated that a sufficiently low degree of discounting on the part of government, or a sufficiently high variance of shocks (measured relative to the initial displacement) ensures the sustainability of the full optimal rule. Using a simple dynamic open economy model, these conditions are shown to be plausible unless the discount rate is very high.

Keywords: optimal policy; time inconsistency; credibility; sustainability of policy

JEL Codes: 131; 133; 310; 320


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
Stochastic noise (C69)Change from one-shot game to continuing game (C73)
Change from one-shot game to continuing game (C73)Incentive for governments to invest in reputation (H54)
Incentive for governments to invest in reputation (H54)Credibility and sustainability of full optimal rule (E61)
Government's discount rate not too high OR High variance of shocks (E43)Sustainability of full optimal rule (H21)
Without stochastic disturbances (C69)Undermined credibility of policy announcements (E60)
Presence of stochastic disturbances (C62)Credibility of time-inconsistent policies (D15)

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