IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v30y2006i8p1339-1361.html
   My bibliography  Save this article

On the stability of the two-sector neoclassical growth model with externalities

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Herrendorf, Berthold & Valentinyi, Akos, 2006. "On the stability of the two-sector neoclassical growth model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1339-1361, August.
  • Handle: RePEc:eee:dyncon:v:30:y:2006:i:8:p:1339-1361
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(05)00119-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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.
    22. Ben S. Bernanke & Julio J. Rotemberg, 1996. "NBER Macroeconomics Annual 1995, Volume 10," NBER Books, National Bureau of Economic Research, Inc, number bern95-1.
    23. 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.
    24. 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.
    25. 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.
    26. Weder, Mark, 1998. "Fickle Consumers, Durable Goods, and Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 37-57, July.
    27. Nishimura, Kazuo & Venditti, Alain, 2002. "Intersectoral Externalities and Indeterminacy," Journal of Economic Theory, Elsevier, vol. 105(1), pages 140-157, July.
    28. 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.
    29. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    30. 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.
    31. 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.
    32. 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.
    33. Herrendorf, Berthold & Valentinyi, Akos, 2006. "On the stability of the two-sector neoclassical growth model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1339-1361, August.
    34. 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.
    35. 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.
    36. 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.
    37. Kim, Jinill, 2003. "Indeterminacy And Investment Adjustment Costs: An Analytic Result," Macroeconomic Dynamics, Cambridge University Press, vol. 7(3), pages 394-406, June.
    38. Berthold Herrendorf & Akos Valentinyi, 2003. "Determinacy Through Intertemporal Adjustment Costs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 483-497, July.
    39. Farmer, Roger E. A. & Jang-Ting, Guo, 1995. "The econometrics of indeterminacy: an applied study," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 225-271, December.
    40. 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.
    41. Wen, Yi, 1998. "Indeterminacy, dynamic adjustment costs, and cycles," Economics Letters, Elsevier, vol. 59(2), pages 213-216, May.
    42. 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.
    43. 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.
    44. Burnside, Craig, 1996. "Production function regressions, returns to scale, and externalities," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 177-201, April.
    45. 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.
    46. Berthold Herrendorf & Akos Valentinyi, 2002. "Neoclassical Growth Model with Externalities," CERS-IE WORKING PAPERS 0203, Institute of Economics, Centre for Economic and Regional Studies.
    47. 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.).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Stockman, David R., 2009. "Chaos and sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 2030-2046, December.
    2. Zhang, Jin Shui, 2011. "The analytical solution of balanced growth of non-linear dynamic multi-sector economic model," Economic Modelling, Elsevier, vol. 28(1-2), pages 410-421, January.
    3. Wei-Bin Zhang, 2015. "A Portfolio Equilibrium Model of Gold and Capital in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(12), pages 616-627, December.
    4. Wei-Bin Zhang, 2014. "Growth and inequality examined by integrating the Walrasian general equilibrium and neoclassical growth theories," International Journal of Business and Economic Sciences Applied Research (IJBESAR), International Hellenic University (IHU), Kavala Campus, Greece (formerly Eastern Macedonia and Thrace Institute of Technology - EMaTTech), vol. 7(1), pages 7-32, April.
    5. Herrendorf, Berthold & Valentinyi, Akos, 2006. "On the stability of the two-sector neoclassical growth model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1339-1361, August.
    6. repec:beo:journl:v:62:y:2018:i:216:p:7-34 is not listed on IDEAS
    7. Dan Su & Yang Yao, 2017. "Manufacturing as the key engine of economic growth for middle-income economies," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 22(1), pages 47-70, January.
    8. Zhang, Jin Shui, 2011. "The analytical solution of balanced growth of non-linear dynamic multi-sector economic model," Economic Modelling, Elsevier, vol. 28(1), pages 410-421.
    9. Herrendorf, Berthold & Valentinyi, Akos, 2002. "Determinacy Through Intertemporal Capital Adjustment Costs," CEPR Discussion Papers 3581, C.E.P.R. Discussion Papers.
    10. Zhang Wei-Bin, 2014. "Land Value and Rent Dynamics in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," Scientific Annals of Economics and Business, Sciendo, vol. 61(2), pages 235-258, December.
    11. Berthold Herrendorf & Akos Valentinyi, 2003. "Determinacy Through Intertemporal Adjustment Costs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 483-497, July.
    12. Zhang W.B., 2015. "Birth And Mortality Rates, Gender Division Of Labor, And Time Distribution In The Solow Growth Model," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 24(1), pages 121-134.
    13. Wei-Bin Zhang, 2018. "Business Cycles, Growth, And Imported Energy In A Small-Open Growth Model," Oradea Journal of Business and Economics, University of Oradea, Faculty of Economics, vol. 3(2), pages 7-21, September.
    14. Wei-Bin Zhang, 2018. "Business Cycles In A General Equilibrium Dynamic Model With Land Value And Rent," Economic Annals, Faculty of Economics, University of Belgrade, vol. 63(216), pages 7-34, January –.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Berthold Herrendorf & Akos Valentinyi, 2002. "Neoclassical Growth Model with Externalities," CERS-IE WORKING PAPERS 0203, Institute of Economics, Centre for Economic and Regional Studies.
    2. Herrendorf, Berthold & Valentinyi, Akos, 2002. "Determinacy Through Intertemporal Capital Adjustment Costs," CEPR Discussion Papers 3581, C.E.P.R. Discussion Papers.
    3. Berthold Herrendorf & Akos Valentinyi, 2003. "Determinacy Through Intertemporal Adjustment Costs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 483-497, July.
    4. Tarek Coury & Yi Wen, 2007. "Global indeterminacy in locally determinate RBC models," Working Papers 2007-029, Federal Reserve Bank of St. Louis.
    5. Jaimovich, Nir, 2007. "Firm dynamics and markup variations: Implications for sunspot equilibria and endogenous economic fluctuations," Journal of Economic Theory, Elsevier, vol. 137(1), pages 300-325, November.
    6. Tarek Coury & Yi Wen, 2009. "Global indeterminacy in locally determinate real business cycle models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 49-60, March.
    7. 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.
    8. Guo, Jang-Ting & Harrison, Sharon G., 2001. "Indeterminacy with capital utilization and sector-specific externalities," Economics Letters, Elsevier, vol. 72(3), pages 355-360, September.
    9. Jaimovich, Nir, 2008. "Income effects and indeterminacy in a calibrated one-sector growth model," Journal of Economic Theory, Elsevier, vol. 143(1), pages 610-623, November.
    10. Kazuo Mino, 2017. "Sunspot-Driven Business Cycles: An Overview," KIER Working Papers 973, Kyoto University, Institute of Economic Research.
    11. 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.
    12. Wang, Pengfei & Wen, Yi, 2008. "Imperfect competition and indeterminacy of aggregate output," Journal of Economic Theory, Elsevier, vol. 143(1), pages 519-540, November.
    13. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "The Peril of Fiscal Rules," Post-Print hal-02314996, HAL.
    14. Daniel R. Carroll & Eric R. Young, 2009. "A note on sunspots with heterogeneous agents," Working Papers (Old Series) 0906, Federal Reserve Bank of Cleveland.
    15. Barinci, Jean-Paul & Cheron, Arnaud, 2001. "Sunspots and the Business Cycle in a Finance Constrained Economy," Journal of Economic Theory, Elsevier, vol. 97(1), pages 30-49, March.
    16. Guo, Jang-Ting, 1998. "Indeterminacy and sunspots in a monetary economy with limited participation," Economics Letters, Elsevier, vol. 59(3), pages 337-345, June.
    17. Guo Jang-Ting & Lansing Kevin J, 2003. "Globally-Stabilizing Fiscal Policy Rules," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 7(2), pages 1-15, July.
    18. Juin‐Jen Chang & Jang‐Ting Guo & Jhy‐Yuan Shieh & Wei‐Neng Wang, 2015. "Sectoral Composition Of Government Spending And Macroeconomic (In)Stability," Economic Inquiry, Western Economic Association International, vol. 53(1), pages 23-33, January.
    19. Jang-Ting Guo & Sharon G. Harrison, 2015. "Indeterminacy with Progressive Taxation and Sector-Specific Externalities," Pacific Economic Review, Wiley Blackwell, vol. 20(2), pages 268-281, May.
    20. 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.

    More about this item

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:30:y:2006:i:8:p:1339-1361. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.elsevier.com/locate/jedc .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.