Potential Outcome and Decision Theoretic Foundations for Statistical Causality

In a recent paper published in the Journal of Causal Inference, Philip Dawid has described a graphical causal model based on decision diagrams. We show the relationship of these models to Single World Intervention Graphs (SWIGs). In this way we link Dawid's approach to causal models based on potential outcomes such as Robins' Finest Fully Randomized Causally Interpreted Structured Tree Graphs.