In this paper we give a precise definition of long-run causality in a multivariate non-stationary, possibly cointegrated, framework. A variable is said to be causal for another in the long-run if knowledge of the past of the former improves long-run predictions of the latter. In a VAR framework,...

In this paper we give a precise definition of long-run causality in a multivariate non-stationary, possibly cointegrated, framework. A variable is said to be causal for another in the long run if knowledge of the past of the former improves long-run predictions of the latter. In a VAR framework,...