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On indeterminacy in one-sector models of the business cycle with factor-generated externalities

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  • Meng, Qinglai
  • Yip, Chong Kee

Abstract

By relaxing the restrictions commonly imposed on the magnitude of capital externalities in one-sector models with Cobb-Douglas technology, we find that indeterminacy can arise in the following two cases: (i) the felicity function is separable in consumption and leisure and there are negative capital externalities; (ii) the felicity function is non-separable and the social elasticity of production with respect to capital is greater than one. In both cases indeterminacy happens when the aggregate labor-demand curve is downward-sloping. In addition, with Cobb-Douglas technology we show that the presence of income effects on the demand for leisure is a necessary condition for indeterminacy to occur, and that therefore for certain felicity functions characterized by the presence of no income effects indeterminacy can never occur regardless of the signs and magnitudes of capital and labor externalities.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Macroeconomics.

Volume (Year): 30 (2008)
Issue (Month): 1 (March)
Pages: 97-110

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Handle: RePEc:eee:jmacro:v:30:y:2008:i:1:p:97-110

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Web page: http://www.elsevier.com/locate/inca/622617

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  1. 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.
  2. Benhabib, Jess & Wen, Yi, 2001. "Indeterminacy, Aggregate Demand, and the Real Business Cycle," Working Papers 01-09r, Cornell University, Center for Analytic Economics.
  3. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  4. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  5. 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.
  6. Timothy J. Kehoe, 1991. "Computation and multiplicity of equilibria," Working Papers 460, Federal Reserve Bank of Minneapolis.
  7. Stephanie Schmitt-Grohe, 1999. "Endogenous business cycles and the dynamics of output, hours, and consumption," Departmental Working Papers 199915, Rutgers University, Department of Economics.
  8. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March.
  9. Pelloni, Alessandra & Waldmann, Robert, 1998. "Stability properties of a growth model," Economics Letters, Elsevier, vol. 61(1), pages 55-60, October.
  10. Bennett, R.L. & Farmer, R.E.A., 1999. "Indeterminacy with Non-Separable Utility," Economics Working Papers eco99/34, European University Institute.
  11. Sharon G. Harrison, 2003. "Returns to Scale and Externalities in the Consumption and Investment Sectors," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 963-976, October.
  12. 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.
  13. Hintermaier, Thomas, 2003. "On the minimum degree of returns to scale in sunspot models of the business cycle," Journal of Economic Theory, Elsevier, vol. 110(2), pages 400-409, June.
  14. Burnside, Craig, 1996. "Production function regressions, returns to scale, and externalities," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 177-201, April.
  15. 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.
  16. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
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Blog mentions

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  1. Sunspots and Credit Frictions
    by Christian Zimmermann in NEP-DGE blog on 2010-01-25 03:20:38
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Cited by:
  1. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.
  2. 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.
  3. Xin Long & Alessandra Pelloni, 2012. "Welfare Improving Taxation on Savings in a Growth Model," CEIS Research Paper 218, Tor Vergata University, CEIS, revised 27 Jan 2012.
  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. Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.

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