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Indeterminacy with Small Externalities: The Role of Non-Separable Preferences

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  • Lloyd-Braga, Teresa
  • Nourry, Carine
  • Venditti, Alain

Abstract

In this paper we consider a Ramsey one-sector model with non-separable homothetic preferences, endogenous labour and productive external effects arising from average capital and labour. We show that indeterminacy cannot arise when there are only capital externalities but that it does when there are only labour external effects. We prove that sunspot fluctuations are fully consistent with small market imperfections and realistic calibrations for the elasticity of capital-labour substitution (including the Cobb-Douglas specification) provided the elasticity of intertemporal substitution in consumption and the elasticity of the labour supply are large enough.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5541.

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Date of creation: Mar 2006
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Handle: RePEc:cpr:ceprdp:5541

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Keywords: capital and labour externalities; endogenous cycles; endogenous labour supply; indeterminacy; infinite-horizon model;

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References

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  1. Pintus, Patrick A., 2007. "Local determinacy with non-separable utility," Journal of Economic Dynamics and Control, Elsevier, vol. 31(2), pages 669-682, February.
  2. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  3. Michele Boldrin & Aldo Rustichini, 2010. "Growth and Indeterminacy in Dynamic Models with Externalities," Levine's Working Paper Archive 1382, David K. Levine.
  4. 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.
  5. 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.
  6. Bennett, R.L. & Farmer, R.E.A., 1999. "Indeterminacy with Non-Separable Utility," Economics Working Papers eco99/34, European University Institute.
  7. Duffy, John & Papageorgiou, Chris, 2000. " A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
  8. Pelloni, A. & Waldmann, R., 1997. "Stability Properties in a Growth Model," Economics Working Papers eco97/11, European University Institute.
  9. King, Robert G & Plosser, Charles I & Rebelo, Sergio T, 2002. "Production, Growth and Business Cycles: Technical Appendix," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 87-116, October.
  10. 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.
  11. Patrick Pintus, 2006. "Indeterminacy with almost constant returns to scale: capital-labor substitution matters," Economic Theory, Springer, vol. 28(3), pages 633-649, 08.
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Citations

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Cited by:
  1. Guo, Jang-Ting & Lansing, Kevin J., 2009. "Capital-labor substitution and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1991-2000, December.
  2. Jean-Philippe Garnier, 2013. "Keeping-up with the Joneses, a new source of fluctuations in the two-sector continuous-time models," Working Papers hal-00991664, HAL.
  3. Francesco Busato & Enrico Marchetti, 2009. "Endogenous Skill Cycles," Working Papers 127, University of Rome La Sapienza, Department of Public Economics.
  4. Francesco Busato & Bruno Chiarini & Enrico Marchetti, 2005. "Indeterminacy, Underground Activities and Tax Evasion," Working Papers 289, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  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.
  6. Jaime Alonso-Carrera & Jordi Caballé & Xavier Raurich, 2005. "Can consumption spillovers be a source of equilibrium indeterminacy?," UFAE and IAE Working Papers 657.05, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  7. 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.
  8. Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2013. "Aggregate instability under balanced-budget consumption taxes: A re-examination," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1977-2006.
  9. Francesco Busato & Enrico Marchetti, 2006. "Skills, sunspots and cycles," Economics Working Papers 2006-07, School of Economics and Management, University of Aarhus.
  10. Magris, Francesco, 2012. "Indeterminacy and multiple steady states with sector-specific externalities," Economic Modelling, Elsevier, vol. 29(6), pages 2664-2672.
  11. Jang-Ting Guo & Kevin J. Lansing, 2008. "Capital-labor substitution, equilibrium indeterminacy, and the cyclical behavior of labor income," Working Paper Series 2008-06, Federal Reserve Bank of San Francisco.
  12. Stefano Bosi & Francesco Magris & Alain Venditti, 2007. "Sunspot Fluctuations in Two-sector Economies with Heterogeneous Agents," Economic Theory, Springer, vol. 33(2), pages 311-331, November.
  13. Been-Lon Chen & Angus Chu, 2010. "On R&D spillovers, multiple equilibria and indeterminacy," Journal of Economics, Springer, vol. 100(3), pages 247-263, July.

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