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Determinacy with Capital Adjustment - Costs and Sector-Specific Externalities

  • Berthold Herrendorf


    (Arizona State University)

  • Akos Valentinyi


    (University of Southampton)

This paper explores the stability properties of the steady state in the standard two-sector real business cycle model with a sector-specific externality in the capital-producing sector. When the steady state is stable then equilibrium is indeterminate and stable sunspots are possible. We find that capital adjustment costs of any size preclude stable sunspots 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 the existence of stable sunspots is an upward- sloping labor demand curve in the capital-producing sector, which in turn requires an implausibly strong externality. This result contrasts sharply with the standard result that when we abstract from capital adjustment costs, stable sunspots occur in the two-sector model for a wide range of plausible parameter values.

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Paper provided by Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences in its series IEHAS Discussion Papers with number 0008.

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Length: 37 pages
Date of creation: 07 Nov 2000
Date of revision:
Handle: RePEc:has:discpr:0008
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  1. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  2. 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.).
  3. Howitt, Peter & McAfee, R Preston, 1992. "Animal Spirits," American Economic Review, American Economic Association, vol. 82(3), pages 493-507, June.
  4. 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.
  5. Burnside, Craig & Eichenbaum, Martin & Rebelo, Sérgio, 1995. "Capital Utilization and Returns to Scale," CEPR Discussion Papers 1221, C.E.P.R. Discussion Papers.
  6. 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 249-83, April.
  7. Jordi Galí, 1993. "Local externalities, convex adjustment costs and sunspot equilibria," Economics Working Papers 43, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Michele Boldrin & Aldo Rustichini, 2010. "Growth and Indeterminacy in Dynamic Models with Externalities," Levine's Working Paper Archive 1382, David K. Levine.
  9. Michele Boldrin & Lawrence J. Christiano & Jonas D.M. Fisher, 1999. "Habit persistence, asset returns and the business cycles," Working Paper Series WP-99-14, Federal Reserve Bank of Chicago.
  10. 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 1075-84, September.
  11. Abel, Andrew B., 1990. "Consumption and investment," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 14, pages 725-778 Elsevier.
  12. Frankel, David M. & Pauzner, Ady, 2000. "Resolving Indeterminacy in Dynamic Settings: The Role of Shocks," Staff General Research Papers 11924, Iowa State University, Department of Economics.
  13. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 1996. "The Poverty of Nations: A Quantitative Exploration," NBER Working Papers 5414, National Bureau of Economic Research, Inc.
  14. Ortigueira, Salvador & Santos, Manuel S, 1997. "On the Speed of Convergence in Endogenous Growth Models," American Economic Review, American Economic Association, vol. 87(3), pages 383-99, June.
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