Arbeitspapier

Indeterminacy and imperfect information

We study equilibrium determination in an environment where two kinds of agents have different information sets: The fully informed agents know the structure of the model and observe histories of all exogenous and endogenous variables. The less informed agents observe only a strict subset of the full information set. All types of agents form expectations rationally, but agents with limited information need to solve a dynamic signal extraction problem to gather information about the variables they do not observe. In this environment, we identify a new channel that leads to equilibrium indeterminacy: Optimal information processing of the less informed agent introduces stable dynamics into the equation system that lead to self-fulling expectations. For parameter values that imply a unique equilibrium under full information, the limited information rational expectations equilibrium is indeterminate. We illustrate our framework with a monetary policy problem where an imperfectly informed central bank follows an interest rate rule.

ISBN
978-3-95729-661-0
Language
Englisch

Bibliographic citation
Series: Deutsche Bundesbank Discussion Paper ; No. 01/2020

Classification
Wirtschaft
Bayesian Analysis: General
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Monetary Policy
Subject
limited information
rational expectations
signal extraction
belief shocks

Event
Geistige Schöpfung
(who)
Lubik, Thomas A.
Matthes, Christian
Mertens, Elmar
Event
Veröffentlichung
(who)
Deutsche Bundesbank
(where)
Frankfurt a. M.
(when)
2020

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Lubik, Thomas A.
  • Matthes, Christian
  • Mertens, Elmar
  • Deutsche Bundesbank

Time of origin

  • 2020

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