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Some Stability Results for Markovian Economic Semigroups

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  • Leonard J. Mirman
  • Kevin Reffett
  • John Stachurski

Abstract

The paper studies existence, uniqueness and stability of stationary equilibrium distributions in a class of stochastic dynamic models common to economic analysis. The stability conditions provided are suitable for treating multi-sector models and nonlinear time series models with unbounded state.

Suggested Citation

  • Leonard J. Mirman & Kevin Reffett & John Stachurski, 2004. "Some Stability Results for Markovian Economic Semigroups," Department of Economics - Working Papers Series 902, The University of Melbourne.
    • Handle: RePEc:mlb:wpaper:902
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    File URL: http://www.economics.unimelb.edu.au/downloads/wpapers-04/902.pdf
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    References listed on IDEAS

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    4. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
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    8. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
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    13. Stachurski, John, 2002. "Stochastic Optimal Growth with Unbounded Shock," Journal of Economic Theory, Elsevier, vol. 106(1), pages 40-65, September.
    14. repec:cup:macdyn:v:1:y:1997:i:4:p:740-69 is not listed on IDEAS
    15. Stachurski, John, 2003. "Economic dynamical systems with multiplicative noise," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 135-152, February.
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    Cited by:

    1. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5, Elsevier.
    2. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, December.

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