Broadly speaking, without regard to labels or choosing a specific algorithm, I think one should choose the dominance principle if probabilities are held constant and thus choose smoking, two-boxing, etc. But if probabilities were to update based on the agent's actions such as in Parfit's Hitchhiker, then one should pre-commit to an action that does not necessarily dominate in exchange for an outcome that is (second?) best and thus pay the biker.
We can of course play semantic slapfights and call this something like 'Bayesian Decision Theory' but ideas matter more than labels.
Broadly speaking, without regard to labels or choosing a specific algorithm, I think one should choose the dominance principle if probabilities are held constant and thus choose smoking, two-boxing, etc. But if probabilities were to update based on the agent's actions such as in Parfit's Hitchhiker, then one should pre-commit to an action that does not necessarily dominate in exchange for an outcome that is (second?) best and thus pay the biker.
We can of course play semantic slapfights and call this something like 'Bayesian Decision Theory' but ideas matter more than labels.