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Some Stability Results for Markovian Economic Semigroups

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Author Info
Leonard J. Mirman
Kevin Reffett
John Stachurski

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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.

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File URL: http://www.economics.unimelb.edu.au/SITE/research/workingpapers/wp04/902.pdf
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Publisher Info
Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 902.

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Length: 21 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:mlb:wpaper:902

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Postal: Department of Economics, The University of Melbourne, 5th Floor, Economics and Commerce Building, Victoria, 3010, Australia
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Related research
Keywords: Markov processes; asymptotic stability; semigroups;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February. [Downloadable!] (restricted)
  2. Donaldson, John B. & Mehra, Rajnish, 1983. "Stochastic growth with correlated production shocks," Journal of Economic Theory, Elsevier, vol. 29(2), pages 282-312, April. [Downloadable!] (restricted)
  3. repec:cup:macdyn:v:1:y:1997:i:4:p:740-69 is not listed on IDEAS
  4. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November. [Downloadable!] (restricted)
    Other versions:
  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. [Downloadable!] (restricted)
  6. Farmer, Roger E.A. & Woodford, Michael, 1997. "Self-Fulfilling Prophecies And The Business Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 1(04), pages 740-769, December. [Downloadable!]
  7. Bray, Margaret, 1982. "Learning, estimation, and the stability of rational expectations," Journal of Economic Theory, Elsevier, vol. 26(2), pages 318-339, April. [Downloadable!] (restricted)
  8. Rabi Bhattacharya & Mukul Majumdar, 2003. "Dynamical systems subject to random shocks: An introduction," Economic Theory, Springer, vol. 23(1), pages 1-12, December. [Downloadable!] (restricted)
  9. Stachurski, John, 2002. "Stochastic Optimal Growth with Unbounded Shock," Journal of Economic Theory, Elsevier, vol. 106(1), pages 40-65, September. [Downloadable!] (restricted)
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  10. Le Van, C. & Morhaim, L. & Dimaria, C.-H., 2000. "The Discrete Time Version of the Romer Model," Papiers d'Economie Mathématique et Applications 2000.63, Université Panthéon-Sorbonne (Paris 1).
  11. Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June. [Downloadable!] (restricted)
  12. Futia, Carl A, 1982. "Invariant Distributions and the Limiting Behavior of Markovian Economic Models," Econometrica, Econometric Society, vol. 50(2), pages 377-408, March. [Downloadable!] (restricted)
  13. Stachurski, John, 2003. "Economic dynamical systems with multiplicative noise," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 135-152, February. [Downloadable!] (restricted)
  14. Mitra, Tapan & Roy, Santanu, 2003. "Optimal Exploitation of Renewable Resources under Uncertainty and the Extinction of Species," Working Papers 03-10, Cornell University, Center for Analytic Economics. [Downloadable!]
    Other versions:
  15. Leonard J Mirman & Olivier F. Morand & Kevin L. Reffett, 2004. "A Qualitative Approach to Markovian Equilibrium in Infinite Horizon Economies with Capital," Levine's Bibliography 122247000000000224, UCLA Department of Economics. [Downloadable!]
    Other versions:
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Costas Aariadis & John Stachurski, 2004. "Poverty Traps," Department of Economics - Working Papers Series 913, The University of Melbourne. [Downloadable!]
    Other versions:
    • 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. [Downloadable!] (restricted)
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This page was last updated on 2009-11-23.


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