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A Dynamic Two Country Heckscher-Ohlin Model with Non-Homothetic Preferences

  • Eric W. Bond

    ()

    (Department of Economics, Vanderbilt University)

  • Kazumichi Iwasa

    ()

    (Institute of Economic Research, Kyoto University)

  • Kazuo Nishimura

    ()

    (Institute of Economic Research, Kyoto University)

We examine the properties of a two country dynamic Heckscher-Ohlin model that allows for preferences to be non-homothetic. We show that the model has a continuum of steady state equilibria under free trade, with the initial conditions determining which equilibrium will be attained. We establish conditions under which a static Heckscher-Ohlin theorem will hold in the steady state, and also conditions for a dynamic H-O theorem to hold. If both goods are normal, each country will have a unique autarkic steady state, and all steady state equilibria are saddle points. We also consider the case in which one good is inferior, and show that this can lead to multiple autarkic steady states, violations of the static H-O theorem in the steady state. Furthermore, there may exist steady state equilibria that Pareto dominate other steady states. These steady states will be unstable if discount factors are the same in each country, although they may exhibit dynamic indeterminacy if discount factors differ.

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File URL: http://www.kier.kyoto-u.ac.jp/DP/DP686.pdf
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Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 686.

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Length: 34pages
Date of creation: Nov 2009
Date of revision:
Handle: RePEc:kyo:wpaper:686
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  1. Dow, James & da Costa Werlang, Sergio Ribeiro, 1992. "Homothetic preferences," Journal of Mathematical Economics, Elsevier, vol. 21(4), pages 389-394.
  2. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  3. Eric W. Bond & Kathleen Trask & Ping Wang, 1996. "Factor Accumulation and Trade: Dynamic Comparative Advantage with Endogenous Physical and Human Capital," Vanderbilt University Department of Economics Working Papers 0031, Vanderbilt University Department of Economics, revised Aug 2000.
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  5. Doi, Junko & Nishimura, Kazuo & Shimomura, Koji, 2007. "A two-country dynamic model of international trade and endogenous growth: Multiple balanced growth paths and stability," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 390-419, April.
  6. Yunfang Hu & Murray Kemp & Koji Shimomura, 2009. "A two-country dynamic Heckscher–Ohlin model with physical and human capital accumulation," Economic Theory, Springer, vol. 41(1), pages 67-84, October.
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  14. Hunter, Linda, 1991. "The contribution of nonhomothetic preferences to trade," Journal of International Economics, Elsevier, vol. 30(3-4), pages 345-358, May.
  15. Junko Doi & Kazumichi Iwasa & Koji Shimomura, 2006. "Indeterminacy in the free-trade world," Discussion Paper Series 187, Research Institute for Economics & Business Administration, Kobe University.
  16. Shannon, Chris & Zame, William R., 1999. "Quadratic Concavity and Determinacy of Equilibrium," Department of Economics, Working Paper Series qt3fv586x6, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  17. Masao Ogaki & Jonathan D. Ostry & Carmen M. Reinhart, 1996. "Saving Behavior in Low- and Middle-Income Developing Countries: A Comparison," IMF Staff Papers, Palgrave Macmillan, vol. 43(1), pages 38-71, March.
  18. Trefler, Daniel, 1993. "International Factor Price Differences: Leontief Was Right!," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 961-87, December.
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  20. Nishimura, Kazuo & Shimomura, Koji, 2002. "Trade and Indeterminacy in a Dynamic General Equilibrium Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 244-260, July.
  21. Stiglitz, Joseph E, 1970. "Factor Price Equalization in a Dynamic Economy," Journal of Political Economy, University of Chicago Press, vol. 78(3), pages 456-88, May-June.
  22. Nishimura, Kazuo & Shimomura, Koji, 2002. "Indeterminacy in a dynamic small open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 271-281, December.
  23. Ventura, Jaume, 1997. "Growth and Interdependence," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 57-84, February.
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