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Existence, Stability and Computation of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem

  • Takashi Kamihigashi

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

  • John Stachurski

    (Research School of Economics, Australian National University, Canberra, Australia)

This paper strengthens the Hopenhayn and Prescott stability theorem for monotone economies. We extend the theorem to a larger class of applications, and develop new perspectives on the nature and causes of stability and instability. In addition, we show that models satisfying the Hopenhayn-Prescott theorem are ergodic, in the sense that sample averages of time series converge with probability one to their corresponding expectations under the stationary distribution, independent of initial conditions.

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File URL: http://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2011-32.pdf
File Function: First version, 2011
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Paper provided by Research Institute for Economics & Business Administration, Kobe University in its series Discussion Paper Series with number DP2011-32.

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Length: 42 pages
Date of creation: Dec 2011
Date of revision:
Handle: RePEc:kob:dpaper:dp2011-32
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  1. Morand, O.F., 2005. "Erratum to "Inequality, mobility and the transmission of ability" [Journal of Macroeconomics 26 (3) 533-545]," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 363-363, June.
  2. Albert Marcet & Francesc Obiols-Homs & Philippe Weil, 2007. "Incomplete Markets, Labor Supply and Capital Accumulation," Sciences Po publications info:hdl:2441/8623, Sciences Po.
  3. Ann L. Owen & David N. Weil, 1997. "Intergenerational Earnings Mobility, Inequality, and Growth," NBER Working Papers 6070, National Bureau of Economic Research, Inc.
  4. Josep Pijoan-Mas, 2004. "Precautionary Savings or Working Longer Hours?," 2004 Meeting Papers 350, Society for Economic Dynamics.
  5. Chatterjee, Partha & Shukayev, Malik, 2008. "Note on positive lower bound of capital in the stochastic growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2137-2147, July.
  6. Roberto M Samaniego, 2004. "Does Employment Protection Inhibit Technical Diffusion?," Computing in Economics and Finance 2004 51, Society for Computational Economics.
  7. Kiminori Matsuyama, 2002. "Financial Market Globalization, Symmetry-Breaking, and Endogenous Inequality of Nations," CIRJE F-Series CIRJE-F-186, CIRJE, Faculty of Economics, University of Tokyo.
  8. Sokbae Lee & Oliver Linton & Yoon-Jae Whang, 2006. "Testing for stochastic monotonicity," LSE Research Online Documents on Economics 4425, London School of Economics and Political Science, LSE Library.
  9. Zhang, Yuzhe, 2007. "Stochastic optimal growth with a non-compact state space," MPRA Paper 23107, University Library of Munich, Germany.
  10. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2012. "Stationary Markovian equilibrium in altruistic stochastic OLG models with limited commitment," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 115-132.
  11. Lloyd-Ellis, Huw & Bernhardt, Dan, 2000. "Enterprise, Inequality and Economic Development," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 147-68, January.
  12. repec:dgr:uvatin:20020086 is not listed on IDEAS
  13. 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.
  14. Olson, Lars J. & Roy, Santanu, 2005. "Theory of Stochastic Optimal Economic Growth," Working Papers 28601, University of Maryland, Department of Agricultural and Resource Economics.
  15. António Antunes & Tiago Cavalcanti & Anne Villamil, 2006. "Computing General Equilibrium Models with Occupational Choice and Financial Frictions," SCAPE Policy Research Working Paper Series 0611, National University of Singapore, Department of Economics, SCAPE.
  16. Samaniego, Roberto M., 2006. "Industrial subsidies and technology adoption in general equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1589-1614.
  17. Cabrales, Antonio & Hopenhayn, Hugo A., 1997. "Labor-market flexibility and aggregate employment volatility," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 46(1), pages 189-228, June.
  18. Ranjan, Priya, 2001. "Dynamic evolution of income distribution and credit-constrained human capital investment in open economies," Journal of International Economics, Elsevier, vol. 55(2), pages 329-358, December.
  19. Manuel S. Santos & Adrian Peralta-Alva, 2003. "Accuracy Of Simulations For Stochastic Dynamic Models," Economics Working Papers we034615, Universidad Carlos III, Departamento de Economía.
  20. Piketty, Thomas, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," Review of Economic Studies, Wiley Blackwell, vol. 64(2), pages 173-89, April.
  21. Lloyd-Ellis, Huw, 2000. "Public Education, Occupational Choice, and the Growth-Inequality Relationship," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 171-201, February.
  22. Josep Pijoan-Mas 2 & Antonia Díaz & José-Víctor Ríos-Rull, 2001. "Habit Formation: Inplications For The Wealth Distribution," Economics Working Papers we015114, Universidad Carlos III, Departamento de Economía.
  23. Partha Chatterjee & Malik Shukayev, 2013. "A Stochastic Dynamic Model of Trade and Growth: Convergence and Diversi?cation," Working Papers 07, Development and Policies Research Center (DEPOCEN), Vietnam.
  24. Takashi Kamihigashi & John Stachurski, 2011. "An Order-Theoretic Mixing Condition for Monotone Markov Chains," Discussion Paper Series DP2011-24, Research Institute for Economics & Business Administration, Kobe University, revised Sep 2011.
  25. Nishimura, Kazuo & Stachurski, John, 2005. "Stability of stochastic optimal growth models: a new approach," Journal of Economic Theory, Elsevier, vol. 122(1), pages 100-118, May.
  26. Olson, Lars J. & Roy, Santanu, 2000. "Dynamic Efficiency of Conservation of Renewable Resources under Uncertainty," Journal of Economic Theory, Elsevier, vol. 95(2), pages 186-214, December.
  27. Liutang Gong & Xiaojun Zhao & Heng-fu Zou, 2010. "Stochastic Growth with the Social-Status Concern: The Existence of a Unique Stable Distribution," CEMA Working Papers 408, China Economics and Management Academy, Central University of Finance and Economics.
  28. Buly A. Cardak, 2004. "Ability, Education, and Income Inequality," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(2), pages 239-276, 05.
  29. Stachurski, John, 2002. "Stochastic Optimal Growth with Unbounded Shock," Journal of Economic Theory, Elsevier, vol. 106(1), pages 40-65, September.
  30. Tapan Mitra & Santanu Roy, 2006. "Optimal exploitation of renewable resources under uncertainty and the extinction of species," Economic Theory, Springer, vol. 28(1), pages 1-23, 05.
  31. Hidalgo Cabrillana, Ana, 2009. "Endogenous capital market imperfections, human capital, and intergenerational mobility," Journal of Development Economics, Elsevier, vol. 90(2), pages 285-298, November.
  32. Hopenhayn, Hugo & Rogerson, Richard, 1993. "Job Turnover and Policy Evaluation: A General Equilibrium Analysis," Journal of Political Economy, University of Chicago Press, vol. 101(5), pages 915-38, October.
  33. Takashi Kamihigashi, 2005. "Stochastic Optimal Growth with Bounded or Unbounded Utility and with Bounded or Unbounded Shocks," Discussion Paper Series 176, Research Institute for Economics & Business Administration, Kobe University.
  34. Morand, O.F., 2005. "Corrigendum to "Inequality, mobility, and the transmission of ability" [Journal of Macroeconomics 26 (4) 747]," Journal of Macroeconomics, Elsevier, vol. 27(1), pages 169-169, March.
  35. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
  36. Das, Satya P., 2006. "Trade, skill acquisition and distribution," Journal of Development Economics, Elsevier, vol. 81(1), pages 118-141, October.
  37. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
  38. Gilles Joseph & Thomas Weitzenblum, 2003. "Optimal Unemployment Insurance: Transitional Dynamics vs. Steady State," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 869-884, October.
  39. Antunes, Antonio R. & Cavalcanti, Tiago V. de V., 2007. "Start up costs, limited enforcement, and the hidden economy," European Economic Review, Elsevier, vol. 51(1), pages 203-224, January.
  40. 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.
  41. Couch, K.A. & Morand, O.F., 2005. "Inequality, mobility, and the transmission of ability," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 365-377, June.
  42. Morand, Olivier F. & Reffett, Kevin L., 2007. "Stationary Markovian equilibrium in overlapping generation models with stochastic nonclassical production and Markov shocks," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 501-522, April.
  43. 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.
  44. San Vicente Portes, Luis, 2009. "On the distributional effects of trade policy: Dynamics of household saving and asset prices," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(3), pages 944-970, August.
  45. Olson, Lars J., 1989. "Stochastic growth with irreversible investment," Journal of Economic Theory, Elsevier, vol. 47(1), pages 101-129, February.
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