Those who maximize expected utility with unbounded utility functions are Dutch-bookable in principle. Here’s an example where you’re forced into a stochastically dominated strategy with just one decision: you trade in a St. Petersburg lottery outcome for a new St. Petersburg lottery that’s ex ante worse than the first lottery was before you saw its outcome, no matter the outcome.
There are also 100% guaranteed loss Dutch book arguments with infinitely many decisions, like McGee, 1999 and Pruss, 2022.
Those who maximize expected utility with unbounded utility functions are Dutch-bookable in principle. Here’s an example where you’re forced into a stochastically dominated strategy with just one decision: you trade in a St. Petersburg lottery outcome for a new St. Petersburg lottery that’s ex ante worse than the first lottery was before you saw its outcome, no matter the outcome.
There are also 100% guaranteed loss Dutch book arguments with infinitely many decisions, like McGee, 1999 and Pruss, 2022.