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RIEB, Kobe University Site Map Access 日本語 Home Research & Education Publications RIEB Discussion Paper Series (English) RIEB Discussion Paper Series No.2012-27 RIEB Discussion Paper Series No.2012-27 Title Existence, Uniqueness and Stability of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem Abstract This paper strengthens the Hopenhayn-Prescott stability theorem for monotone economies by extending it to a significantly larger class of models. We provid general conditions for existence, uniqueness and stability of stationary distributions. The conditions in our main result are both necessary and sufficient for global stability of monotone economies that satisfy a weak mixing condition introduced in the paper. Through our analysis we develop new insights on the nature and causes of stability and instability. Keywords Stability, simulation, stationary equilibria JEL Classification C62, C63 Inquiries Takashi KAMIHIGASHI Research Institute for Economics and Business AdministrationKobe UniversityRokkodai-cho, Nada-ku, Kobe657-8501 JapanPhone: +81-78-803-7036FAX: +81-78-803-7059John STACHURSKI Research School of Economics, Australian National University About RIEB Faculty Seminars at RIEB Research & Education Sections Kobe University Site Policy Site Map Access Contact Us Copyright©1996-2018 Research Institute for Economics and Business Administration, Kobe University. All Rights Reserved.

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