Dynamic predictor selection in a new Keynesian model with heterogeneous expectations

This paper introduces dynamic predictor selection into a New Keynesian model with heterogeneous expectations and examines its implications for monetary policy. We extend Branch and McGough (2009) by incorporating endogenous time-varying predictor proportions along the lines of Brock and Hommes (1997). We find that periodic orbits and complex dynamics may arise even if the model under rational expectations has a unique stationary solution. The qualitative nature of the non-linear dynamics turns on the interaction between hawkishness of the government's policy and the extrapolative behavior of non-rational agents.