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Local Determinacy with Non-separable Utility

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  • Patrick-Antoine Pintus

    ()
    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université de la Méditerranée - Aix-Marseille II - Université Paul Cézanne - Aix-Marseille III - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - CNRS : UMR6579)

Abstract

This paper introduces general formulations for both technology (with input substitution) and non-separable utility (compatible with balanced growth and stationary worked hours) into a benchmark RBC model. It is shown that intertemporal substitution and input substitutability lead to local determinacy and rule out stationary sunspot equilibria when labor demand is downward-sloping, in contrast with recent results obtained under the assumption of separable utility. The main intuition behind this result is shown to work as follows: in contrast with separable preferences, increasing the elasticity of intertemporal substitution in consumption necessarily implies decreasing the elasticity of constant-consumption labor supply, when utility is non-separable and concave, which affects unfavorably the occurrence of local indeterminacy.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number halshs-00409585.

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Date of creation: 10 Aug 2009
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Handle: RePEc:hal:wpaper:halshs-00409585

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Related research

Keywords: real business cycles; intertemporal substitution; capital-labor substitution; externalities; indeterminacy; sunspots.;

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References

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  1. Wen, Yi, 2000. "Understanding Self-Fulfilling Rational Expectations Equilibria in Real Business Cycle Models," Working Papers 00-02, Cornell University, Center for Analytic Economics.
  2. Benhabib, J. & Farmer, R.E.A, 1991. "Indeterminacy and Increasing Returns," Papers 165, Cambridge - Risk, Information & Quantity Signals.
  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. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
  5. Patrick Pintus, 2006. "Indeterminacy with almost constant returns to scale: capital-labor substitution matters," Economic Theory, Springer, vol. 28(3), pages 633-649, 08.
  6. 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.
  7. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," RCER Working Papers 467, University of Rochester - Center for Economic Research (RCER).
  8. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  9. 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.
  10. 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.).
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Citations

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Cited by:
  1. 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.
  2. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2013. "Indeterminacy and Sunspot Fluctuations in Two-Sector RBC models: Theory and Calibration," AMSE Working Papers 1315, Aix-Marseille School of Economics, Marseille, France, revised Nov 2009.
  3. Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2006. "Indeterminacy with Small Externalities: The Role of Non-Separable Preferences," CEPR Discussion Papers 5541, C.E.P.R. Discussion Papers.
  4. Busato, Francesco & Chiarini, Bruno & Marchetti, Enrico, 2011. "Indeterminacy, underground activities and tax evasion," Economic Modelling, Elsevier, vol. 28(3), pages 831-844, May.
  5. Francesco Busato & Enrico Marchetti, 2009. "Endogenous Skill Cycles," Working Papers 127, University of Rome La Sapienza, Department of Public Economics.
  6. Bosi, Stefano & Nishimura, Kazuo & Venditti, Alain, 2010. "Multiple equilibria in two-sector monetary economies: An interplay between preferences and the timing for money," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 997-1014, November.
  7. Francesco Busato & Enrico Marchetti, 2009. "Skills, sunspots and cycles," Journal of Economics, Springer, vol. 97(3), pages 189-215, July.
  8. Magris, Francesco, 2012. "Indeterminacy and multiple steady states with sector-specific externalities," Economic Modelling, Elsevier, vol. 29(6), pages 2664-2672.
  9. 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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