Heckerman, D. and Shachter, R. (1995)
"Decision-Theoretic Foundations for Causal Reasoning",
Volume 3, pages 405-430.
Abstract: We present a definition of cause and effect in terms of
decision-theoretic primitives and thereby provide a principled
foundation for causal reasoning. Our definition departs from the
traditional view of causation in that causal assertions may vary with
the set of decisions available. We argue that this approach provides
added clarity to the notion of cause. Also in this paper, we examine
the encoding of causal relationships in directed acyclic graphs. We
describe a special class of influence diagrams, those in canonical
form, and show its relationship to Pearl's representation of cause and
effect. Finally, we show how canonical form facilitates
counterfactual reasoning.
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