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Indeterminacy and Unemployment Fluctuations with Constant Returns to Scale in Production

  • Dufourt, Frédéric
  • Lloyd-Braga, Teresa
  • Modesto, Leonor

We extend the finance-constrained economy proposed by Woodford (1986) to incorporate imperfectly insured unemployment, by introducing unions and unemployment benefits financed by labour 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 labour; (ii) flip and Hopf bifurcations occur for empirically credible elasticities of substitution between capital and labour, so that a rich set of dynamics may emerge at ‘realistic’ parameters’ values.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4874.

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Date of creation: Jan 2005
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Handle: RePEc:cpr:ceprdp:4874
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  1. 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.
  2. 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.
  3. 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).
  4. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
  5. Angus Deaton, 1989. "Saving and Liquidity Constraints," NBER Working Papers 3196, National Bureau of Economic Research, Inc.
  6. Daniel S. Hamermesh, 1993. "Labor Demand and the Source of Adjustment Costs," NBER Working Papers 4394, National Bureau of Economic Research, Inc.
  7. Lloyd-Braga, Teresa & Modesto, Leonor, 2007. "Indeterminacy in a finance constrained unionized economy," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 347-364, April.
  8. Barinci, Jean-Paul & Cheron, Arnaud, 2001. "Sunspots and the Business Cycle in a Finance Constrained Economy," Journal of Economic Theory, Elsevier, vol. 97(1), pages 30-49, March.
  9. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, 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. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  12. 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.
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