Indeterminacy, bifurcations, and unemployment fluctuations

Frédéric Dufourt*, Teresa Lloyd-Braga, Leonor Modesto

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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 and (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.

Original languageEnglish
Pages (from-to)75-89
Number of pages15
JournalMacroeconomic Dynamics
Issue numberSUPPL. 1
Publication statusPublished - 1 Apr 2008


  • Bifurcations
  • Business cycles
  • Indeterminacy
  • Unemployment


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