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Indeterminacy and Unemployment Fluctuations with Constant Returns to Scale in Production

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

Abstract

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.

Suggested Citation

  • Dufourt, Frédéric & Lloyd-Braga, Teresa & Modesto, Leonor, 2005. "Indeterminacy and Unemployment Fluctuations with Constant Returns to Scale in Production," CEPR Discussion Papers 4874, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:4874
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    References listed on IDEAS

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    1. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    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. 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.
    4. 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.
    5. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    6. 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.
    7. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    8. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
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    11. Daniel S. Hamermesh, 1993. "Labor Demand and the Source of Adjustment Costs," NBER Working Papers 4394, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Dufourt, Frédéric & Lloyd-Braga, Teresa & Modesto, Leonor, 2009. "Expected Inflation, Sunspots Equilibria and Persistent Unemployment Fluctuations," IZA Discussion Papers 4302, Institute for the Study of Labor (IZA).

    More about this item

    Keywords

    bifurcations; endogenous fluctuations; imperfectly insured unemployment; indeterminacy;

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy

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