 Even where it is assumed that an agent is fully committed to following through on some alternative to the Rule of Condtionalization, there are questions about what the Dutch Strategy shows. As with the basic DBA for probabilism, it is possible to devise scenarios in which it would be rational to leave oneself open to a Dutch Strategy by announcing a deviant updating rule, and so the Dutch Strategy argument should not be taken to show that it is strictly irrational to have an updating rule other than Conditionalization. Rather, the existence of the strategy points to a tension in adopting such a rule. Shifting from \(\pr_{1}\) to \(\pr_{2}\) by conditionalizing on \(E\) is equivalent to invariance, i.e. for each proposition \(A\), \(\pr_{1}(A\mid E) =\) \(\pr_{2}(A\mid E)\). Adopting a rule for updating other than Conditionalization is thus tantamount to holding at time \(t_{1}\) that for some \(A\), \(\pr_{1}(A\mid E) \ne\) \(\pr_{2}(A\mid E)\). Note that the bookie simply takes advantage of the difference between the agent’s probability for A given \(E\) at \(t_{1}\) and at \(t_{2}\). Where the agent is certain at \(t_{1}\) that he would update via some deviant rule \(D\), the rule induces a conditional probability at that time for \(A\) given \(E\) that differs from \(\pr_{1}(A\mid E)\). In such a case, \(\pr_{2}(A\mid E)\) is fixed at \(t_{1}\) by the agent’s credal state, and so given that \(\pr_{1}(A\mid E) \ne\) \(\pr_{2}(A\mid E)\), the agent’s credences may be said to exhibit a kind of inconsistency. While this is problematic in a way that the sort of inconsistency involved in simply having different levels of confidence for a proposition at different times is not, it appears less like inconsistency for full belief than failing to obey the probability axioms, where the agent has evaluations according to which each in a set of bets is fair at a single time. While \(\pr_{2}(A\mid E)\) may be fixed at \(t_{1}\), this is not the agent’s conditional probability at \(t_{1}\), but rather the probability for \(A\) given \(E\) that she will come to have at \(t_{2}\) upon learning \(E\). Such updating plans are part of the agent’s credal system though, for which Dutch Book vulnerability may plausibly be held to signal a defect.