Recently, when working on my next paper, I was struck by the formal similarity between two expressions.

Using to represent outcome X of action c, and to represent a relationship of equal plausibility, implies that X_i is certain given c, and implies that X_i is impossible given c. (The two expressions differ in the subscript of the outcome on the right-hand side of the relation.)

The ideas here are simple: If no other outcome contributes plausibility, then X_i is certain; if X_i contributes no plausibility, then X_i is impossible.

Tags: decision theory, papers

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