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Income Effects and Indeterminacy in a Calibrated One-Sector Growth Model

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  • Nir Jaimovich

    ()
    (Stanford University)

Abstract

This paper analyzes how the indeterminacy of competitive equilibrium in one-sector growth models depends on the magnitude of the households' income effect on the demand for leisure. The paper first establishes that the presence of income effect is necessary for the existence of an indeterminate equilibrium. I incorporate into this analysis the Jaimovich and Rebelo (2006) preferences that nest the KPR and GHH utility functions and span the entire range of income effect that exists between the two. Having identified these regions of indeterminacy, I find a lower and an upper bound for the magnitude of income effect that leads to indeterminacy. Moreover, by allowing for variation in the degree of income effect, I find that indeterminacy can occur for levels of aggregate-returns-to-scale that are well within recent empirical estimates. Finally, for these regions of indeterminacy, I simulate the model driven solely by sunspot shocks. I find that the second-moment properties of this model are generally consistent with the U.S. data at the business cycle frequency.

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Bibliographic Info

Paper provided by Stanford Institute for Economic Policy Research in its series Discussion Papers with number 07-012.

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Date of creation: Jul 2005
Date of revision: Mar 2007
Handle: RePEc:sip:dpaper:07-012

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Related research

Keywords: Indeterminate Equilibria; Utility Function; Sunspot Shocks; Business Cycles;

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References

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  1. Correia, I. & Rabelo, S. & Naves, J.C., 1994. "Business Cycles in a Small Open Economy," RCER Working Papers 382, University of Rochester - Center for Economic Research (RCER).
  2. 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.).
  3. Kehoe, Timothy J., 1991. "Computation and multiplicity of equilibria," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 38, pages 2049-2144 Elsevier.
  4. Paul M Romer, 1999. "Endogenous Technological Change," Levine's Working Paper Archive 2135, David K. Levine.
  5. Benhabib, Jess & Farmer, Roger E A, 1996. "Indeterminacy and Sector-specific Externalities," CEPR Discussion Papers 1403, C.E.P.R. Discussion Papers.
  6. Weder, Mark, 1998. "Fickle Consumers, Durable Goods, and Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 37-57, July.
  7. Kiminori Matsuyama, 1990. "Increasing Returns, Industrialization and Indeterminacy of Equilibrium," Discussion Papers 878, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. 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.
  9. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer, vol. 2(1), pages 43-68, January.
  10. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  11. Nir Jaimovich & Sergio Rebelo, 2006. "Can News About the Future Drive the Business Cycle?," NBER Working Papers 12537, National Bureau of Economic Research, Inc.
  12. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-17, June.
  13. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
  14. 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.
  15. Neumeyer, Pablo A. & Perri, Fabrizio, 2005. "Business cycles in emerging economies: the role of interest rates," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 345-380, March.
  16. Wen, Yi, 2001. "Understanding self-fulfilling rational expectations equilibria in real business cycle models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1221-1240, August.
  17. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  18. Michele Boldrin & Aldo Rustichini, 2010. "Growth and Indeterminacy in Dynamic Models with Externalities," Levine's Working Paper Archive 1382, David K. Levine.
  19. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  20. Bennett, R.L. & Farmer, R.E.A., 1999. "Indeterminacy with Non-Separable Utility," Economics Working Papers eco99/34, European University Institute.
  21. Schmitt-Grohe, Stephanie, 1997. "Comparing Four Models of Aggregate Fluctuations due to Self-Fulfilling Expectations," Journal of Economic Theory, Elsevier, vol. 72(1), pages 96-147, January.
  22. 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.
  23. Roger E.A. Farmer & Jang Ting Guo, 1992. "Real Business Cycles and the Animal Spirits Hypothesis," UCLA Economics Working Papers 680, UCLA Department of Economics.
  24. 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.
  25. Spear, Stephen E., 1991. "Growth, externalities, and sunspots," Journal of Economic Theory, Elsevier, vol. 54(1), pages 215-223, June.
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Citations

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. Sunspots and Credit Frictions
    by Christian Zimmermann in NEP-DGE blog on 2010-01-25 03:20:38
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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Cited by:
  1. Daniel R. Carroll & Eric R. Young, 2009. "A note on sunspots with heterogeneous agents," Working Paper 0906, Federal Reserve Bank of Cleveland.
  2. Carine Nourry & Thomas Seegmuller & Alain Venditti, 2011. "Aggregate instability under balanced-budget consumption taxes: a re-examination," Working Papers halshs-00633609, HAL.
  3. Jang-Ting Guo & Sharon G. Harrison, 2008. "Indeterminacy with No-Income-Effect Preferences and Sector-Specific Externalities," Working Papers 200809, University of California at Riverside, Department of Economics, revised Jul 2008.
  4. Susanto Basu & Brent Bundick, 2012. "Uncertainty Shocks in a Model of Effective Demand," NBER Working Papers 18420, National Bureau of Economic Research, Inc.
  5. Kazuo Nishimura & Alain Venditti, 2010. "Indeterminacy and expectation-driven uctuations with non-separable preferences," KIER Working Papers 702, Kyoto University, Institute of Economic Research.

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