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Indeterminacy, Bifurcations, And Unemployment Fluctuations

  • DUFOURT, FRÉDÉRIC
  • LLOYD-BRAGA, TERESA
  • MODESTO, LEONOR

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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Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 12 (2008)
Issue (Month): S1 (April)
Pages: 75-89

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Handle: RePEc:cup:macdyn:v:12:y:2008:i:s1:p:75-89_07
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  1. 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.
  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. Benhabib, Jess & Farmer, Roger E.A., 1991. "Indeterminacy and Increasing Returns," Working Papers 91-59, C.V. Starr Center for Applied Economics, New York University.
  4. 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.
  5. 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.
  6. Lloyd-Braga, Teresa & Modesto, Leonor, 2004. "Indeterminacy in a Finance Constrained Unionized Economy," CEPR Discussion Papers 4679, C.E.P.R. Discussion Papers.
  7. Thomas Seegmuller & Leonor Modesto & Teresa Lloyd-Braga, 2008. "Market Imperfections and Endogenous Fluctuations," 2008 Meeting Papers 739, Society for Economic Dynamics.
  8. Deaton, A., 1989. "Saving And Liquidity Constraints," Papers 153, Princeton, Woodrow Wilson School - Public and International Affairs.
  9. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  10. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  11. Stephanie Schmitt-Grohe & Martin Uribe, 1995. "Balanced-budget rules, distortionary taxes, and aggregate instability," Finance and Economics Discussion Series 95-44, Board of Governors of the Federal Reserve System (U.S.).
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