 While the argument has often been cited in support of the Rule of Conditionalization as characterized above, there are significant assumptions and limitations to Lewis’ Dutch Strategy argument in defense of the claim that rational updating requires conditionalization on the evidence in accordance with the rule.  As van Fraassen points out, the Dutch Strategy given above does not yield an argument for the diachronic Principle of Conditionalization as stated (van Fraassen 1989). There is no strategy for the bookie that guarantees him a profit from an agent for whom \(\pr_{2}(A) \ne \pr_{1}(A\mid E)\) unless the agent makes a commitment to violate the rule in a particular way in advance. The idea that the above bets constitute a betting strategy yielding a Dutch Book tacitly assumes that the agent’s alternative rule \(D\) is fixed at time \(t_{1}\), before it is known whether or not \(E\) is true, and that the agent is sure to follow the rule if \(E\) is learned.