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Convergence in a Stochastic Dynamic Heckscher-Ohlin Model

Author

Listed:
  • 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.

Suggested Citation

  • Partha Chatterjee & Malik Shukayev, 2006. "Convergence in a Stochastic Dynamic Heckscher-Ohlin Model," Staff Working Papers 06-23, Bank of Canada.
  • Handle: RePEc:bca:bocawp:06-23
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    File URL: http://www.bankofcanada.ca/wp-content/uploads/2010/02/wp06-23.pdf
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    References listed on IDEAS

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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. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-1406, November.
    3. Clarida, Richard H, 1987. "Consumption, Liquidity Constraints and Asset Accumulation in the Presence of Random Income Fluctuations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(2), pages 339-351, June.
    4. 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.
    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. Jaume Ventura, 1997. "Growth and Interdependence," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 57-84.
    7. repec:fth:starer:8415 is not listed on IDEAS
    8. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    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. Zhiqi Chen, 1992. "Long-Run Equilibria in a Dynamic Heckscher-Ohlin Model," Canadian Journal of Economics, Canadian Economics Association, vol. 25(4), pages 923-943, November.
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    Citations

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    Cited by:

    1. Claustre Bajona & Timothy Kehoe, 2010. "Trade, Growth, and Convergence in a Dynamic Heckscher-Ohlin Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 487-513, July.
    2. Claustre Bajona & Timothy J. Kehoe, 2006. "Demographics in dynamic Heckscher-Ohlin models: overlapping generations versus infinitely lived consumers," Staff Report 377, Federal Reserve Bank of Minneapolis.
    3. Ingianni, Andrea, 2012. "Intra-European Union trade openness and new members’ output convergence: A time-series analysis," Economics Discussion Papers 2012-5, School of Economics, Kingston University London.
    4. 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.
    5. Partha Sen, 2013. "Capital Accumulation and Convergence in a Small Open Economy," Review of International Economics, Wiley Blackwell, vol. 21(4), pages 690-704, September.
    6. Todd Sanderson & Fredoun Z. Ahmadi - Esfahani, 2009. "Testing Comparative Advantage in Australian Broadacre Agriculture Under Climate Change: Theoretical and Empirical Models," Economic Papers, The Economic Society of Australia, vol. 28(4), pages 346-354, December.

    More about this item

    Keywords

    Economic models;

    JEL classification:

    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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