 Problems such as Pascal’s Wager and the St. Petersburg paradox suggest that decision theory needs a means of handling infinite utilities and expected utilities. Suppose that an option’s possible outcomes all have finite utilities. Nonetheless, if those utilities are infinitely many and unbounded, then the option’s expected utility may be infinite. Alan Hájek and Harris Nover (2006) also show that the option may have no expected utility. The order of possible outcomes, which is arbitrary, may affect convergence of their utilities’ probability-weighted average and the value to which the average converges if it does converge. Causal decision theory should generalize its principle of expected-utility maximization to handle such cases.