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Demographics in dynamic Heckscher-Ohlin models: overlapping generations versus infinitely lived consumers

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  • Claustre Bajona
  • Timothy J. Kehoe

Abstract

This paper contrasts the properties of dynamic Heckscher-Ohlin models with overlapping generations with those of models with infinitely lived consumers. In both environments, if capital is mobile across countries, factor price equalization occurs after the initial period. In general, however, the properties of equilibria differ drastically across environments: With infinitely lived consumers, we find that factor prices equalize in any steady state or cycle and that, in general, there is positive trade in any steady state or cycle. With overlapping generations, in contrast, we construct examples with steady states and cycles in which factor prices are not equalized, and we find that any equilibrium that converges to a steady state or cycle with factor price equalization has no trade after a finite number of periods.

Suggested Citation

  • 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.
  • Handle: RePEc:fip:fedmsr:377
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    1. Alejandro Cunat & Marco Maffezzoli, 2004. "Hecksher-Ohlin Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 555-585, July.
    2. Mussa, Michael, 1978. "Dynamic Adjustment in the Heckscher-Ohlin-Samuelson Model," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 775-791, October.
    3. 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.
    4. Gokcekus, Omer & Tower, Edward, 1998. "Does Trade Liberalization Benefit Young and Old Alike?," Review of International Economics, Wiley Blackwell, vol. 6(1), pages 50-58, February.
    5. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    6. 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.
    7. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    8. Deardorff, Alan V & Hanson, James A, 1978. "Accumulation and a Long-Run Heckscher-Ohlin Theorem," Economic Inquiry, Western Economic Association International, vol. 16(2), pages 288-292, April.
    9. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    10. Kazuo Nishimura & Koji Shimomura, 2012. "Trade and Indeterminacy in a Dynamic General Equilibrium Model," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 347-361, Springer.
    11. Jones, Larry E. & Manuelli, Rodolfo E., 1992. "Finite lifetimes and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 171-197, December.
    12. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    13. Jaume Ventura, 1997. "Growth and Interdependence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 57-84.
    14. H. Oniki & H. Uzawa, 1965. "Patterns of Trade and Investment in a Dynamic Model of International Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(1), pages 15-37.
    15. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    16. Kemp, Murray C & Wong, Kar-yiu, 1995. "Gains from Trade with Overlapping Generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 283-303, July.
    17. Stiglitz, Joseph E, 1970. "Factor Price Equalization in a Dynamic Economy," Journal of Political Economy, University of Chicago Press, vol. 78(3), pages 456-488, May-June.
    18. James R. MARKUSEN, 2021. "Factor Movements And Commodity Trade As Complements," World Scientific Book Chapters, in: BROADENING TRADE THEORY Incorporating Market Realities into Traditional Models, chapter 15, pages 325-340, World Scientific Publishing Co. Pte. Ltd..
    19. Mountford, Andrew, 1998. "Trade, convergence and overtaking," Journal of International Economics, Elsevier, vol. 46(1), pages 167-182, October.
    20. Pablo Serra, 1991. "Short-run and Long-run Welfare Implications of Free Trade," Canadian Journal of Economics, Canadian Economics Association, vol. 24(1), pages 21-33, February.
    21. Eric W. Bond & Kathleen Trask & Ping Wang, 2003. "Factor Accumulation and Trade: Dynamic Comparative Advantage with Endogenous Physical and Human Capital," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 1041-1060, August.
    22. Sayan, Serdar, 2005. "Heckscher-Ohlin revisited: implications of differential population dynamics for trade within an overlapping generations framework," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1471-1493, September.
    23. Baxter, Marianne, 1992. "Fiscal Policy, Specialization, and Trade in the Two-Sector Model: The Return of Ricardo?," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 713-744, August.
    24. Alejandro Cunat & Marco Maffezzoli, 2004. "Neoclassical Growth and Commodity Trade," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 707-736, July.
    25. repec:bla:econom:v:59:y:1992:i:234:p:221-33 is not listed on IDEAS
    26. Partha Chatterjee & Malik Shukayev, 2006. "Convergence in a Stochastic Dynamic Heckscher-Ohlin Model," Staff Working Papers 06-23, Bank of Canada.
    27. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, October.
    28. Jess Benhabib & Kazuo Nishimura, 2012. "Competitive Equilibrium Cycles," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 75-96, Springer.
    29. Fisher, Eric ON., 1992. "Sustained growth in the model of overlapping generations," Journal of Economic Theory, Elsevier, vol. 58(1), pages 77-92, October.
    30. Mountford, A., 1996. "Trade dynamics and endogenous growth: an overlapping generations analysis," Discussion Paper Series In Economics And Econometrics 9621, Economics Division, School of Social Sciences, University of Southampton.
    31. Findlay, Ronald, 1970. "Factor Proportions and Comparative Advantage in the Long Run," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 27-34, Jan.-Feb..
    32. repec:bla:econom:v:66:y:1999:i:262:p:209-24 is not listed on IDEAS
    33. Hirofumi Uzawa, 1964. "Optimal Growth in a Two-Sector Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(1), pages 1-24.
    34. Francesc Obiols-Homs, 2002. "Trade Effects on the Personal Distribution of Wealth," Working Papers 0208, Centro de Investigacion Economica, ITAM.
    35. 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.
    36. P. K. Bardhan, 1965. "Equilibrium Growth in the International Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 79(3), pages 455-464.
    37. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    38. Boldrin, Michele & Deneckere, Raymond J., 1990. "Sources of complex dynamics in two-sector growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 14(3-4), pages 627-653, October.
    39. Smith, Alasdair, 1984. "Capital theory and trade theory," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 6, pages 289-324, Elsevier.
    40. Michele Boldrin, 1988. "Paths of Optimal Accumulation in Two-Sector Models," UCLA Economics Working Papers 464, UCLA Department of Economics.
    41. Bianconi, Marcelo, 1995. "On dynamic real trade models," Economics Letters, Elsevier, vol. 47(1), pages 47-52, January.
    42. Guillo, Maria Dolores, 1999. "On Terms of Trade and Capital Accumulation," Review of International Economics, Wiley Blackwell, vol. 7(2), pages 228-244, May.
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    3. Rodrigues, Mauro, 2010. "Import substitution and economic growth," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 175-188, March.
    4. Partha Sen & Koji Shimomura, 2017. "Convergence and Overtaking in a Dynamic two Country Model," Open Economies Review, Springer, vol. 28(1), pages 107-124, February.
    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. Lorenzo Caliendo, 2010. "On the Dynamics of the Hecksher-Ohlin Theory," Working Papers 2010-011, Becker Friedman Institute for Research In Economics.
    7. Chatterjee, Partha & Shukayev, Malik, 2012. "A stochastic dynamic model of trade and growth: Convergence and diversification," Journal of Economic Dynamics and Control, Elsevier, vol. 36(3), pages 416-432.
    8. Antoine Le Riche, 2017. "Macroeconomic volatility and trade in OLG economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(4), pages 401-425, December.
    9. Emily T. Cremers & Partha Sen, 2009. "Transfers, the terms of trade, and capital accumulation," Canadian Journal of Economics, Canadian Economics Association, vol. 42(4), pages 1599-1616, November.
    10. Jiandong Ju & Shang-Jin Wei, 2007. "Current Account Adjustment: Some New Theory and Evidence," NBER Working Papers 13388, National Bureau of Economic Research, Inc.
    11. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2014. "Destabilization effect of international trade in a perfect foresight dynamic general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 357-392, February.
    12. Antoine Le Riche, 2014. "Macroeconomic Volatility and Trade in OLG Economies," AMSE Working Papers 1446, Aix-Marseille School of Economics, France, revised Nov 2014.
    13. Francois, Joseph & Shiells, Clinton R., 2008. "Dynamic Factor Price Equalization & International Convergence," CEPR Discussion Papers 7065, C.E.P.R. Discussion Papers.
    14. Jiandong Ju & Kang Shi & Shang-Jin Wei, 2013. "On the Connections between Intra-temporal and Intertemporal Trades," NBER Chapters, in: NBER International Seminar on Macroeconomics 2013, pages 36-51, National Bureau of Economic Research, Inc.
    15. 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.
    16. Naito, Takumi & Zhao, Laixun, 2009. "Aging, transitional dynamics, and gains from trade," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1531-1542, August.
    17. Jiandong Ju & Kang Shi & Shang-Jin Wei, 2011. "On the Connections between Intertemporal and Intra-temporal Trades," NBER Working Papers 17549, National Bureau of Economic Research, Inc.
    18. Timothy J. Kehoe & Mark J. Gibson & Kim J. Ruhl & Claustre Bajona, 2008. "Trade liberalization growth and productivity," 2008 Meeting Papers 789, Society for Economic Dynamics.
    19. Emily T. Cremers, 2008. "Transfers, the Terms of Trade and Capital Accumulation," DEGIT Conference Papers c013_018, DEGIT, Dynamics, Economic Growth, and International Trade.
    20. Andrea Papetti, 2021. "Population aging, relative prices and capital flows across the globe," Temi di discussione (Economic working papers) 1333, Bank of Italy, Economic Research and International Relations Area.
    21. Takumi Naito & Ryoji Ohdoi, 2011. "A two-country model of trade and growth with intersectoral knowledge spillovers," Journal of Economics, Springer, vol. 103(1), pages 39-58, May.
    22. Mr. Clinton R. Shiells & Joseph F. Francois, 2008. "Dynamic Factor Price Equalization & International Income Convergence," IMF Working Papers 2008/267, International Monetary Fund.

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    JEL classification:

    • F11 - International Economics - - Trade - - - Neoclassical Models of Trade
    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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