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

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References

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  1. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  2. 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.
  3. 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.
  4. Pablo A. Neumeyer & Fabrizio Perri, 2004. "Business Cycles in Emerging Economies: The Role of Interest Rates," NBER Working Papers 10387, National Bureau of Economic Research, Inc.
  5. Spear, Stephen E., 1991. "Growth, externalities, and sunspots," Journal of Economic Theory, Elsevier, vol. 54(1), pages 215-223, June.
  6. 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.
  7. 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.
  8. Michele Boldrin & Aldo Rustichini, 2010. "Growth and Indeterminacy in Dynamic Models with Externalities," Levine's Working Paper Archive 1382, David K. Levine.
  9. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  10. 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.
  11. 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.).
  12. Paul Romer, 1989. "Endogenous Technological Change," NBER Working Papers 3210, National Bureau of Economic Research, Inc.
  13. Timothy J. Kehoe, 1991. "Computation and multiplicity of equilibria," Working Papers 460, Federal Reserve Bank of Minneapolis.
  14. Bennett, R.L. & Farmer, R.E.A., 1999. "Indeterminacy with Non-Separable Utility," Economics Working Papers eco99/34, European University Institute.
  15. Benhabib, Jess & Farmer, Roger E A, 1996. "Indeterminacy and Sector-specific Externalities," CEPR Discussion Papers 1403, C.E.P.R. Discussion Papers.
  16. 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.
  17. Matsuyama, Kiminori, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 617-50, May.
  18. Mendoza, Enrique G, 1991. "Real Business Cycles in a Small Open Economy," American Economic Review, American Economic Association, vol. 81(4), pages 797-818, September.
  19. Nir Jaimovich & Sergio Rebelo, 2009. "Can News about the Future Drive the Business Cycle?," American Economic Review, American Economic Association, vol. 99(4), pages 1097-1118, September.
  20. 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.
  21. 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.
  22. Correia, Isabel & Neves, Joao C. & Rebelo, Sergio, 1995. "Business cycles in a small open economy," European Economic Review, Elsevier, vol. 39(6), pages 1089-1113, June.
  23. Weder, Mark, 1998. "Fickle Consumers, Durable Goods, and Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 37-57, July.
  24. 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.
  25. 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.
  26. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
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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. Susanto Basu & Brent Bundick, 2012. "Uncertainty Shocks in a Model of Effective Demand," NBER Working Papers 18420, National Bureau of Economic Research, Inc.
  4. Nishimura, Kazuo & Venditti, Alain, 2010. "Indeterminacy and expectation-driven fluctuations with non-separable preferences," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 46-56, July.
  5. 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.

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