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In a recent paper published in the Journal of Causal Inference, Philip Dawidhas described a graphical causal model based on decision diagrams. This articledescribes how single-world intervention graphs (SWIGs) relate to thesediagrams. In this way, a correspondence is established between Dawid's approachand those based on potential outcomes such as Robins' Finest Fully RandomizedCausally Interpreted Structured Tree Graphs. In more detail, a reformulation ofDawid's theory is given that is essentially equivalent to his proposal andisomorphic to SWIGs.

Potential Outcome and Decision Theoretic Foundations for Statistical Causality