Our paper with Sophocles Mavroeidis just got published in the Journal of Econometrics, vol 198(1), 1-9. It is our second article on the dynamic properties of economic models where agents form expectations using learning. The first one was published in the Journal of Monetary Economics and we also have a third paper, still as a working paper which we recently submitted.
In the Journal of Econometrics article, we study learning dynamics in a prototypical representative-agent forward-looking model in which agents’ beliefs are updated using linear learning algorithms. We show that learning in this model can generate long memory endogenously, without any persistence in the exogenous shocks, depending on the weights agents place on past observations when they update their beliefs, and on the magnitude of the feedback from expectations to the endogenous variable. This is distinctly different from the case of rational expectations, where the memory of the endogenous variable is determined exogenously.