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Indeterminacy, bifurcations and unemployment fluctuations

  • Frédéric Dufourt


    (BETA - Bureau d'économie théorique et appliquée - CNRS : UMR7522 - Université de Strasbourg - Université Nancy II)

  • Teresa Lloyd-Braga


    (FCEE - Faculdade de Ciencias Economicas e Empresariais - Universidade Catolica Portuguesa)

  • Leonor Modesto


    (FCEE - Faculdade de Ciencias Economicas e Empresariais - Universidade Catolica Portuguesa)

We incorporate imperfectly insured unemployment in the finance constrained economy proposed by Woodford (1986), by introducing unions and unemployment benefits financed by labor taxation. We show that this simple extension of the Woodford model changes drastically its stability conditions and local dynamics around the steady state. In fact, in contrast to related models in the literature, we find that, under constant returns to scale in production: (i) indeterminacy always prevails in the case of a unitary elasticity of substitution between capital and labor; (ii) flip and Hopf bifurcations occur for empirically credible elasticities of substitution between capital and labor, so that a rich set of dynamics may emerge at "realistic" parameters' values.

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Paper provided by HAL in its series Post-Print with number halshs-00815504.

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Date of creation: 01 Jan 2008
Date of revision:
Publication status: Published, Macroeconomic Dynamics, 2008, 12, Supplement 1, 75-89
Handle: RePEc:hal:journl:halshs-00815504
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  1. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  2. 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.
  3. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-48, September.
  4. Lloyd-Braga, Teresa & Modesto, Leonor, 2004. "Indeterminacy in a Finance Constrained Unionized Economy," CEPR Discussion Papers 4679, C.E.P.R. Discussion Papers.
  5. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  6. 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.
  7. GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997. "Capital-labor substitution and competitive nonlinear endogenous business cycles," CORE Discussion Papers 1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Cazzavillan, Guido & Lloyd-Braga, Teresa & Pintus, Patrick A., 1998. "Multiple Steady States and Endogenous Fluctuations with Increasing Returns to Scale in Production," Journal of Economic Theory, Elsevier, vol. 80(1), pages 60-107, May.
  9. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
  10. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  11. Thomas Seegmuller & Leonor Modesto & Teresa Lloyd-Braga, 2008. "Market Imperfections and Endogenous Fluctuations," 2008 Meeting Papers 739, Society for Economic Dynamics.
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