Title
Existence, Stability and Computation of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem
Abstract
This paper strengthens the Hopenhayn and Prescott stability theorem for monotone economies. We extend the theorem to a larger class of applications, and develop new perspectives on the nature and causes of stability and instability. In addition, we show that models satisfying the Hopenhayn-Prescott theorem are ergodic, in the sense that sample averages of time series converge with probability one to their corresponding expectations under the stationary distribution, independent of initial conditions.
Keywords
Stability, simulation, stationary equilibria
JEL Classification
C62, C63
Inquiries
RIEB, Kobe University
Rokkodai-cho, Nada-ku, Kobe
657-8501 Japan
Phone: +81-78-803-7036
FAX: +81-78-803-7059
John STACHURSKI
Research School of Economics, Australian National University