 Jackson and Rogers (2019), developing points in Jackson (2016), argue that the mixed-strategies objection is a “structural, but not substantive” (61) objection to Pascal's Wager. They provide cases in which it is clearly rational to prefer one infinite good to another. They suggest a reformulation of how prospects of infinite rewards should be compared. (This also provides a response to the many Gods objection.) Hájek (2003 and especially 2018) offers many valid reformulations of the Wager with more nuanced representations of the utility of salvation, such that the lower the probability of wagering for God, the lower the expected utility. See   footnote 11 for further discussion.