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Income effects and indeterminacy in a calibrated one-sector growth model

  • Jaimovich, Nir

This note 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. Since I am interested in quantitatively characterizing regions of indeterminacy, I use the Jaimovich and Rebelo [N. Jaimovich, S. Rebelo, Can news about the future drive the business cycle? Mimeo, Northwestern University, 2007] preferences that span a wide range of income effect values. I find that indeterminacy can occur for levels of aggregate-returns-to-scale that are well within recent empirical estimates. For these regions of indeterminacy, the model, when driven solely by sunspot shocks, generates second-moment properties that are consistent with the U.S. data at the business cycle frequency.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 143 (2008)
Issue (Month): 1 (November)
Pages: 610-623

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Handle: RePEc:eee:jetheo:v:143:y:2008:i:1:p:610-623
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Kiminori Matsuyama, 1990. "Increasing Returns, Industrialization and Indeterminacy of Equilibrium," Discussion Papers 878, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Nir Jaimovich & Sergio Rebelo, 2006. "Can News About the Future Drive the Business Cycle?," NBER Working Papers 12537, National Bureau of Economic Research, Inc.
  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. Weder, Mark, 1998. "Fickle Consumers, Durable Goods, and Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 37-57, July.
  5. Neumeyer, Pablo Andrés & Perri, Fabrizio, 2004. "Business Cycles in Emerging Economies: The Role of Interest Rates," CEPR Discussion Papers 4482, C.E.P.R. Discussion Papers.
  6. 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.
  7. Correia, Isabel & Neves, Joao C & Rebelo, Sérgio, 1994. "Business Cycles in a Small Open Economy," CEPR Discussion Papers 996, C.E.P.R. Discussion Papers.
  8. 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.
  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. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
  11. Stephanie Schmitt-Grohe, 1998. "Endogenous business cycles and the dynamics of output, hours, and consumption," Finance and Economics Discussion Series 1998-19, Board of Governors of the Federal Reserve System (U.S.).
  12. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March.
  13. 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.
  14. 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.
  15. Wen, Yi, 2000. "Understanding Self-Fulfilling Rational Expectations Equilibria in Real Business Cycle Models," Working Papers 00-02, Cornell University, Center for Analytic Economics.
  16. 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.
  17. Timothy J. Kehoe, 1990. "Computation and Multiplicity of Equilibria," Discussion Paper Serie A 309, University of Bonn, Germany.
  18. Benhabib, Jess & Nishimura, Kazuo, 1996. "Indeterminancy and Sunspots with Constant Returns," Working Papers 96-44, C.V. Starr Center for Applied Economics, New York University.
  19. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages S71-102, October.
  20. 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.
  21. 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.).
  22. 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.
  23. Spear, Stephen E., 1991. "Growth, externalities, and sunspots," Journal of Economic Theory, Elsevier, vol. 54(1), pages 215-223, June.
  24. 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.
  25. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  26. 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.
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