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An Order-Theoretic Mixing Condition for Monotone Markov Chains

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  • Takashi Kamihigashi

    ()

  • John Stachurski

    ()

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.

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File URL: http://cbe.anu.edu.au/researchpapers/econ/wp559.pdf
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Paper provided by Australian National University, College of Business and Economics, School of Economics in its series ANU Working Papers in Economics and Econometrics with number 2011-559.

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Length: 177Kb
Date of creation: Oct 2011
Date of revision:
Handle: RePEc:acb:cbeeco:2011-559
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  1. Takashi Kamihigashi & John Stachurski, 2009. "Asymptotics Of Stochastic Recursive Economies Under Monotonicity," KIER Working Papers 666, Kyoto University, Institute of Economic Research.
  2. repec:cup:cbooks:9780521532723 is not listed on IDEAS
  3. repec:cup:cbooks:9780521825658 is not listed on IDEAS
  4. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, June.
  5. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-406, November.
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Cited by:

  1. Takashi Kamihigashi & John Stachurski, 2013. "Stochastic Stability in Monotone Economies," Discussion Paper Series DP2013-02, Research Institute for Economics & Business Administration, Kobe University.
  2. Takashi Kamihigashi & John Stachurski, 2011. "Stability of Stationary Distributions in Monotone Economies," ANU Working Papers in Economics and Econometrics 2011-561, Australian National University, College of Business and Economics, School of Economics.
  3. Takashi Kamihigashi & John Stachurski, 2013. "Simple Fixed Point Results for Order-Preserving Self-Maps and Applications to Nonlinear Markov Operators," Discussion Paper Series DP2013-27, Research Institute for Economics & Business Administration, Kobe University.
  4. Takashi Kamihigashi & John Stachurski, 2014. "Seeking Ergodicity in Dynamic Economies," Discussion Paper Series DP2014-22, Research Institute for Economics & Business Administration, Kobe University.
  5. Takashi Kamihigashi & John Stachurski, 2011. "Existence, Stability and Computation of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2011-32, Research Institute for Economics & Business Administration, Kobe University.
  6. Takashi Kamihigashi & John Stachurski, 2014. "Stability Analysis for Random Dynamical Systems in Economics," Discussion Paper Series DP2014-35, Research Institute for Economics & Business Administration, Kobe University.
  7. Takashi Kamihigashi & John Stachurski, 2012. "Existence, Uniqueness and Stability of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2012-27, Research Institute for Economics & Business Administration, Kobe University.

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