Stochastic optimal growth with a non-compact state space
This paper studies the stability of a stochastic optimal growth economy introduced by Brock and Mirman [Brock,W.A., Mirman, L., 1972. Optimal economic growth and uncertainty: the discounted case. Journal of Economic Theory 4, 479–513] 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.
|Date of creation:||Feb 2007|
|Date of revision:|
|Publication status:||Published in Journal of Mathematical Economics 2.43(2007): pp. 115-129|
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Web page: https://mpra.ub.uni-muenchen.de
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Discussion Paper Series
189, Research Institute for Economics & Business Administration, Kobe University.
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Department of Economics - Working Papers Series
777, The University of Melbourne.
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