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A dynamic two country Heckscher–Ohlin model with non-homothetic preferences

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  • Eric Bond
  • Kazumichi Iwasa
  • Kazuo Nishimura

Abstract

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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  • Eric Bond & Kazumichi Iwasa & Kazuo Nishimura, 2011. "A dynamic two country Heckscher–Ohlin model with non-homothetic preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 171-204, September.
  • Handle: RePEc:spr:joecth:v:48:y:2011:i:1:p:171-204
    DOI: 10.1007/s00199-010-0572-8
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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 & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. 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.
    4. Kehoe, Timothy J. & Levine, David K. & Romer, Paul M., 1990. "Determinacy of equilibria in dynamic models with finitely many consumers," Journal of Economic Theory, Elsevier, vol. 50(1), pages 1-21, February.
    5. 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.
    6. Jess Benhabib & Qinglai Meng & Kazuo Nishimura, 2012. "Indeterminacy Under Constant Returns to Scale in Multisector Economies," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 403-412, Springer.
    7. 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.
    8. 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.
    9. 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.
    10. Jaume Ventura, 1997. "Growth and Interdependence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 57-84.
    11. Chris Shannon & William R. Zame, 2002. "Quadratic Concavity and Determinacy of Equilibrium," Econometrica, Econometric Society, vol. 70(2), pages 631-662, March.
    12. 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.
    13. 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.
    14. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
    15. 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.
    16. Yunfang Hu & Murray Kemp & Koji Shimomura, 2009. "A two-country dynamic Heckscher–Ohlin model with physical and human capital accumulation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(1), pages 67-84, October.
    17. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
    18. Michele Boldrin & Been-Lon Chen & Ping Wang (ed.), 2004. "Human Capital, Trade and Public Policy in Rapidly Growing Economies," Books, Edward Elgar Publishing, number 3470.
    19. Kazuo Nishimura & Koji Shimomura, 2006. "Indeterminacy in a dynamic two-country model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 307-324, October.
    20. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    21. Trefler, Daniel, 1993. "International Factor Price Differences: Leontief Was Right!," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 961-987, December.
    22. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
    23. 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.
    24. Junko Doi & Kazumichi Iwasa & Koji Shimomura, 2012. "Giffen Behavior Independent of the Wealth Level," Lecture Notes in Economics and Mathematical Systems, in: Wim Heijman & Pierre Mouche (ed.), New Insights into the Theory of Giffen Goods, pages 105-126, Springer.
    25. 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.
    26. Hunter, Linda, 1991. "The contribution of nonhomothetic preferences to trade," Journal of International Economics, Elsevier, vol. 30(3-4), pages 345-358, May.
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    Cited by:

    1. Takuma Kunieda & Kazuo Nishimura, 2023. "Capital Account Liberalization, Financial Frictions, and Belief-Driven Fluctuations," Discussion Paper Series 244, School of Economics, Kwansei Gakuin University.
    2. Naoki Yoshihara & Soh Kaneko, 2016. "On the Existence and Characterization of Unequal Exchange in the Free Trade Equilibrium," Metroeconomica, Wiley Blackwell, vol. 67(2), pages 210-241, May.
    3. Armando Garcia Pires, 2012. "International trade and competitiveness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 727-763, August.
    4. Sugata Marjit & Punarjit Roychowdhury, 2015. "Inequality and Trade: A Behavioral-Economics Perspective," Discussion Papers 2015-08, University of Nottingham, GEP.
    5. P. M. Picard & A. Tampieri, 2021. "Vertical differentiation and trade among symmetric countries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1319-1355, June.
    6. Partha Sen, 2018. "Unilateral Policies, Competitiveness and the ‘Green Paradox’ in a Dynamic North–South Model," Arthaniti: Journal of Economic Theory and Practice, , vol. 17(2), pages 113-139, December.
    7. Kazuhiro Kurose & Naoki Yoshihara, 2016. "The Heckscher-Ohlin-Samuelson Model and the Cambridge Capital Controversies," DSSR Discussion Papers 58, Graduate School of Economics and Management, Tohoku University.
    8. Kazuhiro Kurose & Naoki Yoshihara, 2018. "The Heckscher—Ohlin—Samuelson Trade Theory and the Cambridge Capital Controversies: On the Validity of Factor Price Equalisation Theorem," Working Papers SDES-2018-17, Kochi University of Technology, School of Economics and Management, revised Nov 2018.
    9. Partha Sen, 2013. "Unilateral Emission Cuts And Carbon Leakages In A North-South Trade Model," Working papers 232, Centre for Development Economics, Delhi School of Economics.
    10. Kazumichi Iwasa & Kazuo Nishimura, 2022. "Indeterminacy in a model with production externality and inferiority in consumption," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(4), pages 607-623, December.
    11. Eric W. Bond & Kazumichi Iwasa & Kazuo Nishimura, 2012. "The dynamic Heckscher–Ohlin model: A diagrammatic analysis," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 197-211, June.
    12. Ferreira, Pedro Cavalcanti & Trejos, Alberto, 2016. "Fracking, China and the Global Economy," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 777, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    13. Xiaobing Xing & Jiexiang Xu, 2014. "The saving rate and the upgrade of the trade commodity structure in developing countries: A dynamic H-O model under an oligopolistic market structure," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 23(8), pages 1145-1169, December.
    14. Pedro Cavalcanti Ferreira & Alberto Trejos, 2022. "Trade and the propagation of global shocks," Economic Inquiry, Western Economic Association International, vol. 60(4), pages 1663-1680, October.
    15. Eric W. Bond & Kazumichi Iwasa & Kazuo Nishimura, 2011. "A Dynamic Heckscher-Ohlin Model and Inferior Goods," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 18(3), pages 217-236.
    16. Kurose, Kazuhiro & Yoshihara, Naoki, 2018. "The Heckscher—Ohlin—Samuelson Trade Theory and the Cambridge Capital Controversies: On the Validity of Factor Price Equalisation Theorem," Discussion Paper Series 686, Institute of Economic Research, Hitotsubashi University.

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    More about this item

    Keywords

    Two-country model; Heckscher–Ohlin; Inferior good; Multiple equilibria; Indeterminacy; E13; E32; F11; F43;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • F11 - International Economics - - Trade - - - Neoclassical Models of Trade
    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies

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