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Indeterminacy and Imperfect Information

Author

Listed:
  • Elmar Mertens

    (Bank of International Settlements)

  • Christian Matthes

    (Federal Reserve Bank of Richmond)

  • Thomas Lubik

    (Federal Reserve Bank of Richmond)

Abstract

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 in-formed 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. We show that for parameters values that imply a unique equilibrium under full information, the limited information rational expectations equilibrium can be indeterminate. In a simple application of our framework to a monetary policy problem we show that limited information on part of the central bank implies indeterminate outcomes even when the Taylor Principle holds.

Suggested Citation

  • Elmar Mertens & Christian Matthes & Thomas Lubik, 2017. "Indeterminacy and Imperfect Information," 2017 Meeting Papers 337, Society for Economic Dynamics.
  • Handle: RePEc:red:sed017:337
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    References listed on IDEAS

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    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General

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