Hopf Bifurcation from New-Keynesian Taylor Rule to Ramsey Optimal Policy

Pré-publication, Document de travail: This paper compares different implementations of monetary policy in a new- Keynesian setting. We can show that a shift from Ramsey optimal policy under short term commitment (based on a negative-feed back mechanism) to a Taylor rule (based on a positive-feed back mechanism) corresponds to a Hopfbifurcation with opposite policy advice and a change of the dynamic properties. This bifurcation occurs because of the ad hoc assumption that interest rate is a forward-looking variable when policy targets (inflation and out put gap) a reforward-looking variables in the new-Keynesian theory.

Auteur(s)

Jean-Bernard Chatelain, Kirsten Ralf

Date de publication
  • 2020
Mots-clés JEL
C61 C62 E43 E44 E47 E52 E58
Mots-clés
  • Bifurcations
  • Taylor rule
  • Taylor principle
  • New-Keynesian model
  • Ramsey optimal policy
Référence interne
  • PSE Working Papers n°2017-26
Version
  • 3