Working Paper
Stochastic optimal growth with a non-compact state space
Abstract: This paper studies the stability of a stochastic optimal growth economy introduced by Brock and Mirman [J. Econ. Theory 4 (1972)] by utilizing stochastic monotonicity in a dynamic system. The construction of two boundary distributions leads to a new method of studying systems with non-compact state space. The paper shows the existence of a unique invariant distribution. It also shows the equivalence between the stability and the uniqueness of the invariant distribution in this dynamic system.
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Bibliographic Information
Provider: Federal Reserve Bank of Minneapolis
Part of Series: Working Papers
Publication Date: 2005
Number: 639