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

Takashi KAMIHIGASHI
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