Title
An Order-Theoretic Mixing Condition for Monotone Markov Chains
Abstract
We discuss stability of discrete-time Markov chains satisfying monotonicity and an order-theoretic mixing condition that can be seen as an alternative to irreducibility. A chain satisfying these conditions has at most one stationary distribution. Moreover, if there is a stationary distribution, then the chain is stable in an order-theoretic sense.
Keywords
Markov chains; monotonicity; mixing; irreducibility; coupling
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, Canberra, ACT, Australia
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, Canberra, ACT, Australia