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Stochastic Optimal Growth with Unbounded Shock

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Author Info
Stachurski, J.

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Abstract

This paper considers a neoclassical optimal growth problem where the shock that perturbs the economy in each time period is potentially unbounded on the state space. Sufficient conditions for existence, uniqueness and stability of equilibria are derived in terms of the primitives of the model using new techniques from the field of perturbed dynamical systems.

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File URL: http://www.economics.unimelb.edu.au/SITE/research/workingpapers/wp00_01/777.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 777.

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Length: 31 pages
Date of creation: 2001
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Handle: RePEc:mlb:wpaper:777

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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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Web page: http://www.economics.unimelb.edu.au
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Related research
Keywords: ECONOMIC GROWTH ECONOMIC MODELS

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Find related papers by JEL classification:
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
O32 - Economic Development, Technological Change, and Growth - - Technological Change - - - Management of Technological Innovation and R&D

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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. 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)
  2. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-81, July. [Downloadable!] (restricted)
  3. Flam, S.D. & Evstigneev, I.V., 1997. "The Turnpike Property and the Central Limit Theorem in Stochastic Models of Economic Dynamics," Norway; Department of Economics, University of Bergen 171, Department of Economics, University of Bergen.
  4. Binder, M. & Pesaran, M.H., 1996. "Stochastic Growth," Cambridge Working Papers in Economics 9615, Faculty of Economics, University of Cambridge.
  5. Binder, Michael & Pesaran, M Hashem, 1999. " Stochastic Growth Models and Their Econometric Implications," Journal of Economic Growth, Springer, vol. 4(2), pages 139-83, June. [Downloadable!] (restricted)
  6. Mirman, Leonard J., 1973. "The steady state behavior of a class of one sector growth models with uncertain technology," Journal of Economic Theory, Elsevier, vol. 6(3), pages 219-242, June. [Downloadable!] (restricted)
  7. Amir, Rabah, 1997. "A new look at optimal growth under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 67-86, November. [Downloadable!] (restricted)
  8. Laitner, John, 1981. "The steady states of a stochastic decentralized growth model," Journal of Economic Theory, Elsevier, vol. 24(3), pages 377-392, June. [Downloadable!] (restricted)
  9. 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)
  10. Mirman, Leonard J. & Zilcha, Itzhak, 1975. "On optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 11(3), pages 329-339, December. [Downloadable!] (restricted)
  11. Green, Jerry R & Majumdar, Mukul, 1975. "The Nature of Stochastic Equilibria," Econometrica, Econometric Society, vol. 43(4), pages 647-60, July. [Downloadable!] (restricted)
  12. Stachurski, J., 2000. "Asymptotic Stability of a Brock-Mirman Economy with Unbounded Shock," Department of Economics - Working Papers Series 746, The University of Melbourne. [Downloadable!]
  13. Wang Yong, 1993. "Stationary Equilibria in an Overlapping Generations Economy with Stochastic Production," Journal of Economic Theory, Elsevier, vol. 61(2), pages 423-435, December. [Downloadable!] (restricted)
  14. Razin, Assaf & Yahav, Joseph A, 1979. "On Stochastic Models of Economic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(3), pages 599-604, October. [Downloadable!] (restricted)
  15. 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)
  16. repec:rus:cemicf:358 is not listed on IDEAS
  17. 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)
  18. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation, Yale University. [Downloadable!]
  19. Majumdar, Mukul & Zilcha, Itzhak, 1987. "Optimal growth in a stochastic environment: Some sensitivity and turnpike results," Journal of Economic Theory, Elsevier, vol. 43(1), pages 116-133, October. [Downloadable!] (restricted)
  20. Amir, R. & Evstigneev, I. V., 2000. "A functional central limit theorem for equilibrium paths of economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 33(1), pages 81-99, February. [Downloadable!] (restricted)
  21. Mirman, Leonard J, 1972. "On the Existence of Steady State Measures for One Sector Growth Models with Uncertain Technology," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(2), pages 271-86, June. [Downloadable!] (restricted)
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. Christos Koulovatianos & Elena Antoniadou & Leonard J.Mirman, 2007. "Strategic Exploitation of a Common-Property Resource under Uncertainty," Vienna Economics Papers 0703, University of Vienna, Department of Economics. [Downloadable!]
  2. John Stachurski, 2002. "Random Dynamical Systems with Multiplicative Noise," Department of Economics - Working Papers Series 834, The University of Melbourne. [Downloadable!]
  3. Yuzhe Zhang, 2005. "Stochastic optimal growth with a non-compact state space," Working Papers 639, Federal Reserve Bank of Minneapolis. [Downloadable!]
  4. Manjira Datta & Leonard Mirman & Kevin Reffett, . "Nonclassical Brock-Mirman Economies," Working Papers 2179544, Department of Economics, W. P. Carey School of Business, Arizona State University. [Downloadable!]
  5. Jesus Fernandez-Villaverde & Juan Rubio & Manuel Santos, 2005. "Convergence Properties of the Likelihood of Computed Dynamic Models," NBER Technical Working Papers 0315, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  6. 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. [Downloadable!]
    Other versions:
  7. John Stachurski, 2004. "Asymptotic Statistical Properties Of The Neoclassical Optimal Growth Model," Department of Economics - Working Papers Series 898, The University of Melbourne. [Downloadable!]
  8. Stachurski, J., 2001. "Log-Linearization of Perturbed Dynamical Systems, With Applications to Optimal Growth," Department of Economics - Working Papers Series 788, The University of Melbourne. [Downloadable!]
  9. Takashi Kamihigashi, 2006. "Almost sure convergence to zero in stochastic growth models," Economic Theory, Springer, vol. 29(1), pages 231-237, September. [Downloadable!] (restricted)
  10. Takashi Kamihigashi, 2003. "Almost Sure Convergence to Zero in Stochastic Growth Models," Discussion Paper Series 140, Research Institute for Economics & Business Administration, Kobe University. [Downloadable!]
  11. 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)
  12. Kazuo Nishimura & Ryszard Rudnicki & John Stachurski, 2004. "Stochastic Growth With Nonconvexities:The Optimal Case," Department of Economics - Working Papers Series 897, The University of Melbourne. [Downloadable!]
  13. Takashi Kamihigashi, 2006. "Stochastic Optimal Growth with Bounded or Unbounded Utility and with Bounded or Unbounded Shocks," Discussion Paper Series 189, Research Institute for Economics & Business Administration, Kobe University. [Downloadable!]
  14. Stachurski, J., 2001. "Stochastic Growth: Asymptotic Distributions," Department of Economics - Working Papers Series 787, The University of Melbourne. [Downloadable!]
    Other versions:
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