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Convergence in a Stochastic Dynamic Heckscher-Ohlin Model

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  • Partha Chatterjee
  • Malik Shukayev

Abstract

The authors characterize the equilibrium for a small economy in a dynamic Heckscher-Ohlin model with uncertainty. They show that, when trade is balanced period-by-period, the per capita output and consumption of a small open economy converge to an invariant distribution that is independent of the initial wealth. Further, at the invariant distribution, with probability one there are some periods in which the small economy diversifies. These results are in sharp contrast with those of deterministic dynamic Heckscher-Ohlin models, in which permanent specialization and non-convergence occur. One key feature of the authors' model is the presence of market incompleteness as a result of the period-by-period trade balance. The importance of market incompleteness, and not just uncertainty, in achieving the authors' results is illustrated through an analytical example. Further, numerical simulations show that the convergence occurs more quickly as the magnitude of the shocks increases. Thus, the results extend the predictions of income convergence, standard in one-sector neoclassical growth models, to the dynamic multicountry Heckscher-Ohlin environment.

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Bibliographic Info

Paper provided by Bank of Canada in its series Working Papers with number 06-23.

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Length: 60 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:bca:bocawp:06-23

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Keywords: Economic models;

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References

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  1. Andrew Atkeson & Patrick J. Kehoe, 2000. "Paths of development for early- and late-bloomers in a dynamic Heckscher-Ohlin model," Staff Report 256, Federal Reserve Bank of Minneapolis.
  2. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
  3. 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.
  4. repec:fth:starer:8415 is not listed on IDEAS
  5. Richard H. Clarida, 1984. "Consumption, Liquidity Constraints and Asset Accumulation in the Presence of Random Income Fluctuations," Cowles Foundation Discussion Papers 705R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1985.
  6. 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.
  7. Zhiqi Chen, 1992. "Long-Run Equilibria in a Dynamic Heckscher-Ohlin Model," Canadian Journal of Economics, Canadian Economics Association, vol. 25(4), pages 923-43, November.
  8. 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.
  9. Gary Chamberlain & Charles A. Wilson, 2000. "Optimal Intertemporal Consumption Under Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 365-395, July.
  10. Ventura, Jaume, 1997. "Growth and Interdependence," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 57-84, February.
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Citations

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Cited by:
  1. Claustre Bajona & Timothy J. Kehoe, 2006. "Trade, Growth, and Convergence in a Dynamic Heckscher-Ohlin Model," NBER Working Papers 12567, National Bureau of Economic Research, Inc.
  2. Claustre Bajona, 2010. "Demographics in Dynamic Heckscher-Ohlin Models: Overlapping Generations versus Infinitely Lived Consumers," 2010 Meeting Papers 1172, Society for Economic Dynamics.
  3. Partha Sen, 2012. "Capital Accumulation And Convergence In A Small Open Economy," Working papers 212, Centre for Development Economics, Delhi School of Economics.
  4. Claustre Bajona & Timothy J. Kehoe, 2006. "Demographics in Dynamic Heckscher-Ohlin Models: Overlapping Generations Versus Infinitely Lived Consumers," NBER Working Papers 12566, National Bureau of Economic Research, Inc.
  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.

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