TruePath comments on Value of Information: Four Examples - Less Wrong
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The problem with this model is that it doesn't necessarily give you the value of INFORMATION. Making the 'get info' node a choice point on the tree essentially allows arbitrary changes between the with info and without info branches of the tree. In other words it's not clear we are finding the value of information and not some other result of this choice.
That is why I choose to phrase my model in terms of getting to look at otherwise hidden results of nature nodes.