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Global indeterminacy in locally determinate RBC models

  • Tarek Coury
  • Yi Wen

We investigate the global dynamics of RBC models with production externalities. We confirm that purely local analysis does not tell the full story. With externalities smaller than required for local indeterminacy, local analysis shows the steady state to be a saddle, implying a unique equilibrium. But global analysis reveals the steady state is surrounded by stable deterministic cycles. Our analysis suggests that indeterminacy is more robust than previously realized, and the results strengthen the view that caution should be exercised when linearized versions of this class of RBC models are used in applied work.

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Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 2007-029.

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Date of creation: 2007
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Handle: RePEc:fip:fedlwp:2007-029
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  1. Wen, Yi, 2000. "Understanding Self-Fulfilling Rational Expectations Equilibria in Real Business Cycle Models," Working Papers 00-02, Cornell University, Center for Analytic Economics.
  2. 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.
  3. Patrick Pintus & Ducan Sands & Robin De Vilder, 1998. "On the Transition from Local Regular to Global Irregular Fluctuations," Working Papers 98-54, Centre de Recherche en Economie et Statistique.
  4. Mitra, Tapan & Nishimura, Kazuo, 2001. "Introduction to Intertemporal Equilibrium Theory: Indeterminacy, Bifurcations, and Stability," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 1-12, January.
  5. Schmitt-Grohé, Stephanie, 1999. "Endogenous Business Cycles and the Dynamics of Output, Hours, and Consumption," CEPR Discussion Papers 2315, C.E.P.R. Discussion Papers.
  6. Herrendorf, Berthold & Valentinyi, Akos, 2002. "Determinacy Through Intertemporal Capital Adjustment Costs," CEPR Discussion Papers 3581, C.E.P.R. Discussion Papers.
  7. 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.
  8. Susanto Basu & John G. Fernald, 1996. "Returns to scale in U.S. production: estimates and implications," International Finance Discussion Papers 546, Board of Governors of the Federal Reserve System (U.S.).
  9. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
  10. 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.
  11. Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, Sunspots, and Automatic Stabilizers," NBER Working Papers 5703, National Bureau of Economic Research, Inc.
  12. Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Centre de Recherche en Economie et Statistique.
  13. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
  14. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  15. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 725-737.
  16. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
  17. Benhabib, Jess & Farmer, Roger E.A., 1995. "Indeterminacy and Sector-Specific Externalities," Working Papers 95-02, C.V. Starr Center for Applied Economics, New York University.
  18. Xiao, Wei, 2004. "Can indeterminacy resolve the cross-country correlation puzzle?," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2341-2366, December.
  19. repec:cup:macdyn:v:6:y:2002:i:5:p:633-64 is not listed on IDEAS
  20. Venditti, A., 1996. "Indeterminancy and Endogenous Fluctuations in Two-Sector Growth Models with Externalities," G.R.E.Q.A.M. 96a04, Universite Aix-Marseille III.
  21. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
  22. Stefano Eusepi & Jess Benhabib, 2005. "The Design of Monetary and Fiscal Policy: A Global Perspective," Computing in Economics and Finance 2005 388, Society for Computational Economics.
  23. Bennett, Rosalind L. & Farmer, Roger E. A., 2000. "Indeterminacy with Non-separable Utility," Journal of Economic Theory, Elsevier, vol. 93(1), pages 118-143, July.
  24. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  25. Lee E. Ohanian, 2002. "Why did productivity fall so much during the Great Depression?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Spr.
  26. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  27. Benhabib, J. & Meng, Q. & Nishimura, K., 1999. "Indeterminacy Under Constant Returns to Scale in Multisector Economies," Working Papers 99-17, C.V. Starr Center for Applied Economics, New York University.
  28. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
  29. Marianne Baxter & Robert G. King, 1991. "Productive externalities and business cycles," Discussion Paper / Institute for Empirical Macroeconomics 53, Federal Reserve Bank of Minneapolis.
  30. Harrison, Sharon G & Weder, Mark, 2002. "Did Sunspot Forces Cause the Great Depression?," CEPR Discussion Papers 3267, C.E.P.R. Discussion Papers.
  31. Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 633-664, November.
  32. Guo, Jang-Ting & Sturzenegger, Federico, 1998. "Crazy Explanations of International Business Cycles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(1), pages 111-33, February.
  33. Weder, Mark, 1997. "Animal spirits, technology shocks and the business cycle," SFB 373 Discussion Papers 1997,61, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  34. Stephanie Schmitt-Grohe, 1995. "Comparing four models of aggregate fluctuations due to self-fulfilling expectations," Finance and Economics Discussion Series 95-17, Board of Governors of the Federal Reserve System (U.S.).
  35. 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.
  36. Harrison, Sharon G. & Weder, Mark, 2002. "Did sunspot cause the Great Depression?," SFB 373 Discussion Papers 2002,35, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  37. repec:cup:macdyn:v:7:y:2003:i:3:p:394-406 is not listed on IDEAS
  38. Mitra, Tapan & Nishimura, Kazuo, 2001. "Discounting and Long-Run Behavior: Global Bifurcation Analysis of a Family of Dynamical Systems," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 256-293, January.
  39. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  40. Harold L. Cole & Lee E. Ohanian, 1999. "The Great Depression in the United States from a neoclassical perspective," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 2-24.
  41. Weder, Mark, 1998. "Fickle Consumers, Durable Goods, and Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 37-57, July.
  42. 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.
  43. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
  44. Roger E. A. Farmer, 1999. "Macroeconomics of Self-fulfilling Prophecies, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262062038.
  45. Benhabib, Jess & Nishimura, Kazuo, 1979. "The hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth," Journal of Economic Theory, Elsevier, vol. 21(3), pages 421-444, December.
  46. Kim, Jinill, 2003. "Indeterminacy And Investment Adjustment Costs: An Analytic Result," Macroeconomic Dynamics, Cambridge University Press, vol. 7(03), pages 394-406, June.
  47. Mitra, Tapan, 2001. "A Sufficient Condition for Topological Chaos with an Application to a Model of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 133-152, January.
  48. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  49. Greiner Alfred & Semmler Willi, 1996. "Saddle Path Stability, Fluctuations, and Indeterminacy in Economic Growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(2), pages 1-16, July.
  50. Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May.
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