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Local Determinacy with Non-separable Utility

  • 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)

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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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
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00409585/en/
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  1. Benhabib, Jess & Farmer, Roger E.A., 1995. "Indeterminacy and Sector-Specific Externalities," Working Papers 95-02, C.V. Starr Center for Applied Economics, New York University.
  2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
  3. Bennett, R.L. & Farmer, R.E.A., 1999. "Indeterminacy with Non-Separable Utility," Economics Working Papers eco99/34, European University Institute.
  4. 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.
  5. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," RCER Working Papers 467, University of Rochester - Center for Economic Research (RCER).
  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. Stephanie Schmitt-Grohe, 1995. "Comparing four models of aggregate fluctuations due to self-fulfilling expectations," Finance and Economics Discussion Series 95-17, Board of Governors of the Federal Reserve System (U.S.).
  8. Patrick Pintus, 2006. "Indeterminacy with almost constant returns to scale: capital-labor substitution matters," Economic Theory, Springer, vol. 28(3), pages 633-649, 08.
  9. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-83, April.
  10. 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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