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PERFECT PREDICTIONS IN ECONOMIC DYNAMICAL SYSTEMS WITH RANDOM PERTURBATIONS

Published online by Cambridge University Press:  26 September 2002

Volker Böhm  and
Jan Wenzelburger
Volker Böhm
Affiliation:
Universität Bielefeld
Jan Wenzelburger
Affiliation:
Universität Bielefeld
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Abstract

The paper studies multivariate non linear economic dynamical systems with an expectations feedback subjected to exogenous perturbations. In these systems, agents form expectations on future variables based on subjective transition probabilities given by a Markov kernel. The notion of a perfect Markov kernel that generates rational expectations along all orbits of the system is proposed. Conditions are provided under which perfect Markov kernels exist. Applications are given to models of the Cobweb type, to multivariate affine-linear systems, and to the stochastic OLG model of economic growth. For the latter two models, it is shown when a globally attracting random fixed point with rational expectations exists.

Keywords

DynamicsRandom PerturbationsRational ExpectationsUnbiased Forecasting RulesRandom Fixed Points
Type
ARTICLES
Information
Macroeconomic Dynamics , Volume 6 , Issue 5 , November 2002 , pp. 687 - 712
Copyright
© 2002 Cambridge University Press

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