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Eliezer_Yudkowsky comments on Dutch Books and Decision Theory: An Introduction to a Long Conversation - Less Wrong
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Yes. You can do the same for a diachronic Dutch book which takes the table of probabilities that describes an agents beliefs before the agent learns E and after the agent learns E. For all H in table two p(H) must = p(H|E) in table 1. If p(H) does not = p(H|E) the the agent these tables describe is Dutch bookable assuming she will wager at those probabilities.