Document Type
Discussion Paper
Publication Date
12-1-1983
CFDP Number
686
CFDP Pages
93
Abstract
The existence of the modified golden rule and the turnpike property are proved for a multi-sector stochastic growth model. The (exogenous) stochastic environment is represented by a stationary stochastic process that influences preferences, technology and resources. A social planner maximizes the expected sum of discounted utilities. The conditions required in order to obtain these results, are the natural strengthening of the stability conditions of the deterministic case. As in the deterministic case, the discount factor must be close to one in order to guarantee the almost sure (and in the mean) convergence of optimal interior programs. It is proved that all optimal interior programs converge to each other. This fact is used to prove the existence of a unique optimal stationary program (the modified golden rule). These results imply that all optimal interior programs converge to the stationary program (the turnpike property).
Recommended Citation
Marimon, Ramon, "Stochastic Equilibrium and Turnpike Property: The Discounted Case" (1983). Cowles Foundation Discussion Papers. 919.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/919