A finite set of equilibria for the indeterminacy of linear rational expectations models

Jean-Bernard, Chatelain and Kirsten, Ralf (2014): A finite set of equilibria for the indeterminacy of linear rational expectations models.

Abstract

This paper demonstates the existence of a finite set of equilibria in the case of the indeterminacy of linear rational expectations models. The number of equilibria corresponds to the number of ways to select n eigenvectors among a larger set of eigenvectors related to stable eigenvalues. A finite set of equilibria is a substitute to continuous (uncountable) sets of sunspots equilibria, when the number of independent eigenvectors for each stable eigenvalue is equal to one.

• Item Type: MPRA Paper
• Language: English
• Keywords: Linear rational expectations models, indeterminacy, multiple equilibria, Riccati equation, sunspots.
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium; E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E13 - Neoclassical; E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E60 - General

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