An Order-Theoretic Mixing Condition for Monotone Markov Chains

Takashi Kamihigashi and John Stachurski
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John Stachurski: Research School of Economics, Australian National University, Canberra, Australia

No DP2011-24, Discussion Paper Series from Research Institute for Economics & Business Administration, Kobe University

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.

Pages: 14 pages
Date: 2011-07, Revised 2011-09
New Economics Papers: this item is included in nep-ecm
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https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2011-24.pdf Revised version, 2011 (application/pdf)

Related works:
Journal Article: An order-theoretic mixing condition for monotone Markov chains (2012)
Working Paper: An Order-Theoretic Mixing Condition for Monotone Markov Chains (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:kob:dpaper:dp2011-24

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