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On Indeterminacy in Two Sector Models with Factor Market Distortions: The Importance of VIPIRS

Author

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  • Eic W. Bond

    (Department of Economics, Vanderbilt University)

  • Robert A. Driskill

    (Department of Economics, Vanderbilt University)

Abstract

Previous literature has shown that local indeterminacy and local instability can arise in two-sector models when factor market distortions create a divergence between capital intensity ranking of the sectors on a physical basis and on a value basis. We identify a previously unnoticed source of indeterminacy that arises when there are value intensity - physical intensity reversals (VIPIRs), which is that there is a range of the phase plane in which there are 3 static equilibria (one with incomplete specialization and one with complete specialization in each of the respective goods). We show how this multiplicity of equilibria can be used to construct compound pathsin which the economy switches between production patterns over time. We show that in an open economy model with VIPIRs, there will exist compound paths that reach the steady in finite time. We also establish conditions for the existence of cyclical equilibria that alternate forever between specialization in the consumption and specialization in the investment good. Consideration of the compound paths can expand the range of parameter values for which the economy has a multiplicity of equilibrium paths and can generate paths to the steady in examples where the steady state is locally unstable.

Suggested Citation

  • Eic W. Bond & Robert A. Driskill, 2006. "On Indeterminacy in Two Sector Models with Factor Market Distortions: The Importance of VIPIRS," Vanderbilt University Department of Economics Working Papers 0626, Vanderbilt University Department of Economics.
    • Handle: RePEc:van:wpaper:0626
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    References listed on IDEAS

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    1. 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.
    2. Bond, Eric W. & Wang, Ping & Yip, Chong K., 1996. "A General Two-Sector Model of Endogenous Growth with Human and Physical Capital: Balanced Growth and Transitional Dynamics," Journal of Economic Theory, Elsevier, vol. 68(1), pages 149-173, January.
    3. Meng, Qinglai & Velasco, Andres, 2004. "Market imperfections and the instability of open economies," Journal of International Economics, Elsevier, vol. 64(2), pages 503-519, December.
    4. 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.
    5. Ronald W. Jones, 2018. "The Structure of Simple General Equilibrium Models," World Scientific Book Chapters, in: International Trade Theory and Competitive Models Features, Values, and Criticisms, chapter 4, pages 61-84, World Scientific Publishing Co. Pte. Ltd..
    6. 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.
    7. Jones, Ronald W, 1971. "Distortions in Factor Markets and the General Equilibrium Model of Production," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 437-459, May-June.
    8. Magee, Stephen P, 1973. "Factor Market Distortions, Production, and Trade: A Survey," Oxford Economic Papers, Oxford University Press, vol. 25(1), pages 1-43, March.
    9. Neary, J Peter, 1978. "Dynamic Stability and the Theory of Factor-Market Distortions," American Economic Review, American Economic Association, vol. 68(4), pages 671-682, September.
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    Cited by:

    1. Akihiko Yanase, 2014. "Indeterminacy and Pollution Haven Hypothesis in a Dynamic General Equilibrium Model," Open Economies Review, Springer, vol. 25(5), pages 959-980, November.

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    More about this item

    Keywords

    Indeterminacy; multiple equilibria;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • F16 - International Economics - - Trade - - - Trade and Labor Market Interactions

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