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On the Stability of the Two-Sector Neoclassical Growth Model with Externalities

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  • Herrendorf, Berthold
  • Valentinyi, Akos

Abstract

This Paper explores the local stability properties of the steady state in the two-sector neo-classical growth model with sector–specific externalities. We show analytically that capital adjustment costs of any size preclude local indeterminacy nearby the steady state for every empirically plausible specification of the model parameters. More specifically, we show that when capital adjustment costs of any size are considered, a necessary condition for local indeterminacy is an upward-sloping labour demand curve in the capital-producing sector, which in turn requires an implausibly strong externality. We show numerically that capital adjustment costs of plausible size imply determinacy nearby the steady state for empirically plausible specifications of the other model parameters. These findings contrast sharply with the previous finding that local indeterminacy occurs in the two-sector model for a wide range of plausible parameter values when capital adjustment costs are abstracted from.

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  • Herrendorf, Berthold & Valentinyi, Akos, 2002. "On the Stability of the Two-Sector Neoclassical Growth Model with Externalities," CEPR Discussion Papers 3435, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:3435
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    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Chris Shannon & William R. Zame, 2002. "Quadratic Concavity and Determinacy of Equilibrium," Econometrica, Econometric Society, vol. 70(2), pages 631-662, March.
    3. Harrison, Sharon G. & Weder, Mark, 2002. "Tracing externalities as sources of indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 851-867, May.
    4. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    5. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    6. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    7. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
    8. Huffman, Gregory W. & Wynne, Mark A., 1999. "The role of intratemporal adjustment costs in a multisector economy," Journal of Monetary Economics, Elsevier, vol. 43(2), pages 317-350, April.
    9. Valerie A. Ramey & Matthew D. Shapiro, 2001. "Displaced Capital: A Study of Aerospace Plant Closings," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 958-992, October.
    10. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-342, March.
    11. A. W. Coats, 1995. "Comment," History of Political Economy, Duke University Press, vol. 27(5), pages 157-161, Supplemen.
    12. Perli, Roberto, 1998. "Indeterminacy, home production, and the business cycle: A calibrated analysis," Journal of Monetary Economics, Elsevier, vol. 41(1), pages 105-125, February.
    13. 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.
    14. Christiano, Lawrence J. & G. Harrison, Sharon, 1999. "Chaos, sunspots and automatic stabilizers," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 3-31, August.
    15. S. Rao Aiyagari, 1995. "Comments on Farmer and Guo's \\"the econometrics of indeterminacy: an applied study.\\"," Staff Report 196, Federal Reserve Bank of Minneapolis.
    16. Sharon G. Harrison, 2003. "Returns to Scale and Externalities in the Consumption and Investment Sectors," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 963-976, October.
    17. Daniel S. Hamermesh & Gerard A. Pfann, 1996. "Adjustment Costs in Factor Demand," Journal of Economic Literature, American Economic Association, vol. 34(3), pages 1264-1292, September.
    18. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    19. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 1995. "Capital Utilization and Returns to Scale," NBER Chapters, in: NBER Macroeconomics Annual 1995, Volume 10, pages 67-124, National Bureau of Economic Research, Inc.
    20. Lawrence J. Christiano & Michele Boldrin & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March.
    21. Ben S. Bernanke & Julio J. Rotemberg, 1996. "NBER Macroeconomics Annual 1995, Volume 10," NBER Books, National Bureau of Economic Research, Inc, number bern95-1, June.
    22. Ramey, Valerie A & SHAPIRO, MATTHEW D, 1998. "Displaced Capital," University of California at San Diego, Economics Working Paper Series qt49k7n14z, Department of Economics, UC San Diego.
    23. 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.
    24. Hall, Robert E, 1988. "The Relation between Price and Marginal Cost in U.S. Industry," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 921-947, October.
    25. Weder, Mark, 1998. "Fickle Consumers, Durable Goods, and Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 37-57, July.
    26. Nishimura, Kazuo & Venditti, Alain, 2002. "Intersectoral Externalities and Indeterminacy," Journal of Economic Theory, Elsevier, vol. 105(1), pages 140-157, July.
    27. Fisher, Jonas D. M., 1997. "Relative prices, complementarities and comovement among components of aggregate expenditures," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 449-474, August.
    28. Stephanie Schmitt-Grohe, 2000. "Endogenous Business Cycles and the Dynamics of Output, Hours, and Consumption," American Economic Review, American Economic Association, vol. 90(5), pages 1136-1159, December.
    29. Berthold Herrendorf & Akos Valentinyi & Robert Waldmann, 2000. "Ruling Out Multiplicity and Indeterminacy: The Role of Heterogeneity," Review of Economic Studies, Oxford University Press, vol. 67(2), pages 295-307.
    30. Kazuo Nishimura & Jess Benhabib & Alain Venditti, 2002. "Indeterminacy and cycles in two-sector discrete-time model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 217-235.
    31. Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
    32. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    33. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
    34. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-283, April.
    35. Kim, Jinill, 2003. "Indeterminacy And Investment Adjustment Costs: An Analytic Result," Macroeconomic Dynamics, Cambridge University Press, vol. 7(3), pages 394-406, June.
    36. Weder, Mark, 2000. "Animal spirits, technology shocks and the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 273-295, February.
    37. Wen, Yi, 1998. "Indeterminacy, dynamic adjustment costs, and cycles," Economics Letters, Elsevier, vol. 59(2), pages 213-216, May.
    38. Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 633-664, November.
    39. Harrison, Sharon G., 2001. "Indeterminacy in a model with sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 747-764, May.
    40. Burnside, Craig, 1996. "Production function regressions, returns to scale, and externalities," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 177-201, April.
    41. Bartelsman, Eric J & Caballero, Ricardo J & Lyons, Richard K, 1994. "Customer- and Supplier-Driven Externalities," American Economic Review, American Economic Association, vol. 84(4), pages 1075-1084, September.
    42. Berthold Herrendorf & Akos Valentinyi, 2002. "Neoclassical Growth Model with Externalities," CERS-IE WORKING PAPERS 0203, Institute of Economics, Centre for Economic and Regional Studies.
    43. Jinill Kim, 1998. "Indeterminacy and investment adjustment costs," Finance and Economics Discussion Series 1998-38, Board of Governors of the Federal Reserve System (U.S.).
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    7. Stockman, David R., 2009. "Chaos and sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 2030-2046, December.
    8. Berthold Herrendorf & Akos Valentinyi, 2002. "Determinacy Through Intertemporal Capital Adjustment Costs," CERS-IE WORKING PAPERS 0209, Institute of Economics, Centre for Economic and Regional Studies.
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    More about this item

    Keywords

    capital adjustment costs; determinacy; externality; local indeterminacy; stability;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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